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1145641213440 = 2932549724011
BaseRepresentation
bin10000101010111101100…
…010011001111000000000
311001112002201001122021100
4100222331202121320000
5122232233122312230
62234144511054400
7145525025432523
oct20527542317000
94045081048240
101145641213440
114019556641a9
12166048b11400
13840587b4c49
143d640d6abba
151ec0284d660
hex10abd899e00

1145641213440 has 120 divisors (see below), whose sum is σ = 3967677813528. Its totient is φ = 305504317440.

The previous prime is 1145641213399. The next prime is 1145641213477. The reversal of 1145641213440 is 443121465411.

1145641213440 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 641 + 2 + 1 + 3 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1145641213395 and 1145641213404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24838966 + ... + 24885045.

Almost surely, 21145641213440 is an apocalyptic number.

1145641213440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1145641213440 is an abundant number, since it is smaller than the sum of its proper divisors (2822036600088).

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

1145641213440 is an equidigital number, since it uses as much as digits as its factorization.

1145641213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49724040 (or 49724021 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 1145641213440 its reverse (443121465411), we get a palindrome (1588762678851).

The spelling of 1145641213440 in words is "one trillion, one hundred forty-five billion, six hundred forty-one million, two hundred thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4608 5760 7680 11520 23040 49724011 99448022 149172033 198896044 248620055 298344066 397792088 447516099 497240110 596688132 745860165 795584176 895032198 994480220 1193376264 1491720330 1591168352 1790064396 1988960440 2237580495 2386752528 2983440660 3182336704 3580128792 3977920880 4475160990 4773505056 5966881320 6364673408 7160257584 7955841760 8950321980 9547010112 11933762640 12729346816 14320515168 15911683520 17900643960 19094020224 23867525280 25458693632 28641030336 31823367040 35801287920 38188040448 47735050560 57282060672 63646734080 71602575840 76376080896 95470101120 114564121344 127293468160 143205151680 190940202240 229128242688 286410303360 381880404480 572820606720 1145641213440