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42054471072 = 25321723373459
BaseRepresentation
bin100111001010101001…
…000100110110100000
311000112211220110222200
4213022221010312200
51142111421033242
631153005133200
73016102051245
oct471251046640
9130484813880
1042054471072
111692071a619
128197b5a200
133c728bc113
14206d3a55cc
15116205904c
hex9caa44da0

42054471072 has 144 divisors (see below), whose sum is σ = 132133135680. Its totient is φ = 12619892736.

The previous prime is 42054471059. The next prime is 42054471079. The reversal of 42054471072 is 27017445024.

42054471072 is a `hidden beast` number, since 4 + 2 + 0 + 544 + 7 + 107 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (42054471079) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74122 + ... + 299337.

It is an arithmetic number, because the mean of its divisors is an integer number (917591220).

Almost surely, 242054471072 is an apocalyptic number.

It is an amenable number.

42054471072 is an abundant number, since it is smaller than the sum of its proper divisors (90078664608).

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

42054471072 is a wasteful number, since it uses less digits than its factorization.

42054471072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373515 (or 373504 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

The spelling of 42054471072 in words is "forty-two billion, fifty-four million, four hundred seventy-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 23 24 32 34 36 46 48 51 68 69 72 92 96 102 136 138 144 153 184 204 207 272 276 288 306 368 391 408 414 544 552 612 736 782 816 828 1104 1173 1224 1564 1632 1656 2208 2346 2448 3128 3312 3519 4692 4896 6256 6624 7038 9384 12512 14076 18768 28152 37536 56304 112608 373459 746918 1120377 1493836 2240754 2987672 3361131 4481508 5975344 6348803 6722262 8589557 8963016 11950688 12697606 13444524 17179114 17926032 19046409 25395212 25768671 26889048 34358228 35852064 38092818 50790424 51537342 53778096 57139227 68716456 76185636 77306013 101580848 103074684 107556192 114278454 137432912 146022469 152371272 154612026 203161696 206149368 228556908 274865824 292044938 304742544 309224052 412298736 438067407 457113816 584089876 609485088 618448104 824597472 876134814 914227632 1168179752 1236896208 1314202221 1752269628 1828455264 2336359504 2473792416 2628404442 3504539256 4672719008 5256808884 7009078512 10513617768 14018157024 21027235536 42054471072