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42260934660912 = 24331114296223439
BaseRepresentation
bin10011001101111101000111…
…11111111001001100110000
312112122002212012101001021000
421212332203333321030300
521014400343233122122
6225514223320402000
711621152233422322
oct1146764377711460
9175562765331230
1042260934660912
111251384196a750
1248a6551616300
131a7725c419176
14a61623abd612
154d44859980ac
hex266fa3ff9330

42260934660912 has 160 divisors (see below), whose sum is σ = 132424845696000. Its totient is φ = 12797380028160.

The previous prime is 42260934660907. The next prime is 42260934660937. The reversal of 42260934660912 is 21906643906224.

42260934660912 is a `hidden beast` number, since 4 + 2 + 2 + 6 + 0 + 93 + 466 + 0 + 91 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3678889 + ... + 9902327.

It is an arithmetic number, because the mean of its divisors is an integer number (827655285600).

Almost surely, 242260934660912 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 42260934660912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66212422848000).

42260934660912 is an abundant number, since it is smaller than the sum of its proper divisors (90163911035088).

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

42260934660912 is a wasteful number, since it uses less digits than its factorization.

42260934660912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6224896 (or 6224884 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 42260934660912 in words is "forty-two trillion, two hundred sixty billion, nine hundred thirty-four million, six hundred sixty thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1429 1584 2376 2858 4287 4752 5716 8574 11432 12861 15719 17148 22864 25722 31438 34296 38583 47157 51444 62876 68592 77166 94314 102888 125752 141471 154332 188628 205776 251504 282942 308664 377256 424413 565884 617328 754512 848826 1131768 1697652 2263536 3395304 6223439 6790608 12446878 18670317 24893756 37340634 49787512 56010951 68457829 74681268 99575024 112021902 136915658 149362536 168032853 205373487 224043804 273831316 298725072 336065706 410746974 448087608 547662632 616120461 672131412 821493948 896175216 1095325264 1232240922 1344262824 1642987896 1848361383 2464481844 2688525648 3285975792 3696722766 4928963688 7393445532 8893294331 9857927376 14786891064 17786588662 26679882993 29573782128 35573177324 53359765986 71146354648 80039648979 97826237641 106719531972 142292709296 160079297958 195652475282 213439063944 240118946937 293478712923 320158595916 391304950564 426878127888 480237893874 586957425846 640317191832 782609901128 880436138769 960475787748 1173914851692 1280634383664 1565219802256 1760872277538 1920951575496 2347829703384 2641308416307 3521744555076 3841903150992 4695659406768 5282616832614 7043489110152 10565233665228 14086978220304 21130467330456 42260934660912