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159974401024 = 2102924312
BaseRepresentation
bin1001010011111100110…
…1111010010000000000
3120021220220001120210201
42110333031322100000
510110111421313044
6201254034334544
714362212654424
oct2247715722000
9507826046721
10159974401024
1161932419289
122700712a454
1312115b75bb9
147a5836cb84
1542645d27d4
hex253f37a400

159974401024 has 99 divisors (see below), whose sum is σ = 331970388841. Its totient is φ = 77049835520.

The previous prime is 159974401007. The next prime is 159974401049. The reversal of 159974401024 is 420104479951.

The square root of 159974401024 is 399968.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 83886695424 + 76087705600 = 289632^2 + 275840^2 .

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 371170089 + ... + 371170519.

Almost surely, 2159974401024 is an apocalyptic number.

159974401024 is the 399968-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159974401024

159974401024 is an abundant number, since it is smaller than the sum of its proper divisors (171995987817).

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

159974401024 is an frugal number, since it uses more digits than its factorization.

159974401024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 159974401024 in words is "one hundred fifty-nine billion, nine hundred seventy-four million, four hundred one thousand, twenty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 431 464 512 841 862 928 1024 1682 1724 1856 3364 3448 3712 6728 6896 7424 12499 13456 13792 14848 24998 26912 27584 29696 49996 53824 55168 99992 107648 110336 185761 199984 215296 220672 362471 371522 399968 430592 441344 724942 743044 799936 861184 1449884 1486088 1599872 2899768 2972176 3199744 5387069 5799536 5944352 6399488 10774138 11599072 11888704 12798976 21548276 23198144 23777408 43096552 46396288 47554816 86193104 92792576 95109632 156225001 172386208 185585152 190219264 312450002 344772416 371170304 624900004 689544832 1249800008 1379089664 2499600016 2758179328 4999200032 5516358656 9998400064 19996800128 39993600256 79987200512 159974401024