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114911002714624 = 2919113191547301
BaseRepresentation
bin11010001000001011001101…
…011111110110001000000000
3120001212101101100120101021121
4122020023031133312020000
5110030200213143331444
61044221215203402024
733130021525033504
oct3210131537661000
9501771340511247
10114911002714624
1133683534343a36
1210a7a632383314
134c170a41c10cc
142053a17a42304
15d44173b23084
hex6882cd7f6200

114911002714624 has 160 divisors (see below), whose sum is σ = 245097422760960. Its totient is φ = 53667274752000.

The previous prime is 114911002714489. The next prime is 114911002714639. The reversal of 114911002714624 is 426417200119411.

It is a super-2 number, since 2×1149110027146242 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209685774 + ... + 210233074.

It is an arithmetic number, because the mean of its divisors is an integer number (1531858892256).

Almost surely, 2114911002714624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114911002714624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122548711380480).

114911002714624 is an abundant number, since it is smaller than the sum of its proper divisors (130186420046336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114911002714624 is a wasteful number, since it uses less digits than its factorization.

114911002714624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547642 (or 547626 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The spelling of 114911002714624 in words is "one hundred fourteen trillion, nine hundred eleven billion, two million, seven hundred fourteen thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 113 128 152 191 226 256 304 382 452 512 608 764 904 1216 1528 1808 2147 2432 3056 3616 3629 4294 4864 6112 7232 7258 8588 9728 12224 14464 14516 17176 21583 24448 28928 29032 34352 43166 48896 57856 58064 68704 86332 97792 116128 137408 172664 232256 274816 345328 410077 464512 547301 549632 690656 820154 929024 1094602 1099264 1381312 1640308 1858048 2189204 2762624 3280616 4378408 5525248 6561232 8756816 10398719 11050496 13122464 17513632 20797438 26244928 35027264 41594876 52489856 61845013 70054528 83189752 104534491 104979712 123690026 140109056 166379504 209068982 209959424 247380052 280218112 332759008 418137964 494760104 665518016 836275928 989520208 1175055247 1331036032 1672551856 1979040416 1986155329 2350110494 2662072064 3345103712 3958080832 3972310658 4700220988 5324144128 6690207424 7916161664 7944621316 9400441976 11812397483 13380414848 15832323328 15889242632 18800883952 23624794966 26760829696 31664646656 31778485264 37601767904 47249589932 53521659392 63556970528 75203535808 94499179864 127113941056 150407071616 188998359728 224435552177 254227882112 300814143232 377996719456 448871104354 508455764224 601628286464 755993438912 897742208708 1016911528448 1511986877824 1795484417416 3023973755648 3590968834832 6047947511296 7181937669664 14363875339328 28727750678656 57455501357312 114911002714624