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42421169296 = 241123121512
BaseRepresentation
bin100111100000011111…
…111010110010010000
311001111101220200101101
4213200133322302100
51143334304404141
631253224514144
73031143663262
oct474037726220
9131441820341
1042421169296
1116a9970a400
12827a91b954
13400087090c
1420a5d7bb32
151184340531
hex9e07fac90

42421169296 has 135 divisors (see below), whose sum is σ = 93972772467. Its totient is φ = 18536760000.

The previous prime is 42421169279. The next prime is 42421169309. The reversal of 42421169296 is 69296112424.

It is a happy number.

The square root of 42421169296 is 205964.

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

42421169296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 280934821 + ... + 280934971.

Almost surely, 242421169296 is an apocalyptic number.

42421169296 is the 205964-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42421169296

42421169296 is an abundant number, since it is smaller than the sum of its proper divisors (51551603171).

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

42421169296 is a wasteful number, since it uses less digits than its factorization.

42421169296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 195 counting only the distinct ones).

The product of its digits is 373248, while the sum is 46.

The spelling of 42421169296 in words is "forty-two billion, four hundred twenty-one million, one hundred sixty-nine thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 121 124 151 176 242 248 302 341 484 496 604 682 961 968 1208 1364 1661 1922 1936 2416 2728 3322 3751 3844 4681 5456 6644 7502 7688 9362 10571 13288 15004 15376 18271 18724 21142 22801 26576 30008 36542 37448 42284 45602 51491 60016 73084 74896 84568 91204 102982 116281 145111 146168 169136 182408 205964 232562 250811 290222 292336 364816 411928 465124 501622 566401 580444 706831 823856 930248 1003244 1132802 1160888 1413662 1596221 1860496 2006488 2265604 2321776 2758921 2827324 3192442 4012976 4531208 5517842 5654648 6384884 7775141 9062416 11035684 11309296 12769768 15550282 17558431 21911761 22071368 25539536 31100564 35116862 43823522 44142736 62201128 70233724 85526551 87647044 124402256 140467448 171053102 175294088 241029371 280934896 342106204 350588176 482058742 684212408 964117484 1368424816 1928234968 2651323081 3856469936 5302646162 10605292324 21210584648 42421169296