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4111130444256 = 253311432568439
BaseRepresentation
bin111011110100110010011…
…110000100000111100000
3112120000112202020012022000
4323310302132010013200
51014324043343204011
612424343253044000
7603006434125323
oct73646236040740
915500482205260
104111130444256
11134557aa60230
12564921326600
1323a8a7575564
14102da07087ba
1571e1744e356
hex3bd327841e0

4111130444256 has 96 divisors (see below), whose sum is σ = 13080869625600. Its totient is φ = 1245797101440.

The previous prime is 4111130444231. The next prime is 4111130444261. The reversal of 4111130444256 is 6524440311114.

4111130444256 is a `hidden beast` number, since 411 + 113 + 0 + 44 + 42 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4111130444256.

It is a congruent number.

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, 216274716 + ... + 216293723.

It is an arithmetic number, because the mean of its divisors is an integer number (136259058600).

Almost surely, 24111130444256 is an apocalyptic number.

It is an amenable number.

4111130444256 is an abundant number, since it is smaller than the sum of its proper divisors (8969739181344).

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

4111130444256 is a wasteful number, since it uses less digits than its factorization.

4111130444256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432568469 (or 432568455 counting only the distinct ones).

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

The spelling of 4111130444256 in words is "four trillion, one hundred eleven billion, one hundred thirty million, four hundred forty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 432568439 865136878 1297705317 1730273756 2595410634 3460547512 3893115951 4758252829 5190821268 6921095024 7786231902 9516505658 10381642536 11679347853 13842190048 14274758487 15572463804 19033011316 20763285072 23358695706 28549516974 31144927608 38066022632 41526570144 42824275461 46717391412 57099033948 62289855216 76132045264 85648550922 93434782824 114198067896 124579710432 128472826383 152264090528 171297101844 186869565648 228396135792 256945652766 342594203688 373739131296 456792271584 513891305532 685188407376 1027782611064 1370376814752 2055565222128 4111130444256