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42044553104 = 241923291012053
BaseRepresentation
bin100111001010000011…
…001111011110010000
311000112011020121002112
4213022003033132100
51142101401144404
631152012404452
73015621543011
oct471203173620
9130464217075
1042044553104
1116916066054
128194776728
133c708289b8
14206bd43008
15116124a56e
hex9ca0cf790

42044553104 has 160 divisors (see below), whose sum is σ = 93524371200. Its totient is φ = 18202060800.

The previous prime is 42044553091. The next prime is 42044553113. The reversal of 42044553104 is 40135544024.

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 31 ways as a sum of consecutive naturals, for example, 20478542 + ... + 20480594.

It is an arithmetic number, because the mean of its divisors is an integer number (584527320).

Almost surely, 242044553104 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 42044553104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46762185600).

42044553104 is an abundant number, since it is smaller than the sum of its proper divisors (51479818096).

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

42044553104 is a wasteful number, since it uses less digits than its factorization.

With its successor (42044553105) it forms an eRAP, since the sums of their prime factors are consecutive (2233 and 2234).

42044553104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2233 (or 2227 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

The spelling of 42044553104 in words is "forty-two billion, forty-four million, five hundred fifty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 19 23 29 38 46 58 76 92 101 116 152 184 202 232 304 368 404 437 464 551 667 808 874 1102 1334 1616 1748 1919 2053 2204 2323 2668 2929 3496 3838 4106 4408 4646 5336 5858 6992 7676 8212 8816 9292 10672 11716 12673 15352 16424 18584 23432 25346 30704 32848 37168 39007 44137 46864 47219 50692 55651 59537 67367 78014 88274 94438 101384 111302 119074 134734 156028 176548 188876 202768 207353 222604 238148 269468 312056 353096 377752 414706 445208 476296 538936 624112 706192 755504 829412 890416 897161 952592 1077872 1131203 1279973 1369351 1658824 1794322 2262406 2559946 2738702 3317648 3588644 3939707 4524812 4769119 5119892 5477404 6013237 7177288 7879414 9049624 9538238 10239784 10954808 12026474 14354576 15758828 18099248 19076476 20479568 21909616 24052948 26017669 31517656 38152952 48105896 52035338 63035312 76305904 90613261 96211792 104070676 114251503 138304451 181226522 208141352 228503006 276608902 362453044 416282704 457006012 553217804 724906088 914012024 1106435608 1449812176 1828024048 2212871216 2627784569 5255569138 10511138276 21022276552 42044553104