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42710388384 = 2532331623983
BaseRepresentation
bin100111110001101111…
…001100111010100000
311002020120010112101110
4213301233030322200
51144432324412014
631342035503320
73041255211516
oct476157147240
9132216115343
1042710388384
111712799aa44
12833b757b40
134048765581
1420d25464b6
15119e91ed59
hex9f1bccea0

42710388384 has 96 divisors (see below), whose sum is σ = 120763367424. Its totient is φ = 13178499840.

The previous prime is 42710388373. The next prime is 42710388437. The reversal of 42710388384 is 48388301724.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243544 + ... + 380439.

It is an arithmetic number, because the mean of its divisors is an integer number (1257951744).

Almost surely, 242710388384 is an apocalyptic number.

It is an amenable number.

42710388384 is an abundant number, since it is smaller than the sum of its proper divisors (78052979040).

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

42710388384 is a wasteful number, since it uses less digits than its factorization.

42710388384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624050 (or 624042 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 42710388384 in words is "forty-two billion, seven hundred ten million, three hundred eighty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 32 46 48 62 69 92 93 96 124 138 184 186 248 276 368 372 496 552 713 736 744 992 1104 1426 1488 2139 2208 2852 2976 4278 5704 8556 11408 17112 22816 34224 68448 623983 1247966 1871949 2495932 3743898 4991864 7487796 9983728 14351609 14975592 19343473 19967456 28703218 29951184 38686946 43054827 57406436 58030419 59902368 77373892 86109654 114812872 116060838 154747784 172219308 229625744 232121676 309495568 344438616 444899879 459251488 464243352 618991136 688877232 889799758 928486704 1334699637 1377754464 1779599516 1856973408 2669399274 3559199032 5338798548 7118398064 10677597096 14236796128 21355194192 42710388384