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2331400317408 = 25341137959823
BaseRepresentation
bin100001111011010010010…
…010011010100111100000
322020212202022000021110000
4201323102102122213200
5301144201440124113
64543010331540000
7330303162503331
oct41732222324740
98225668007400
102331400317408
11819817777328
12317a112ba600
1313bb088b8146
1480ba9dd2288
15409a21be373
hex21ed249a9e0

2331400317408 has 120 divisors (see below), whose sum is σ = 6917262172128. Its totient is φ = 770256055296.

The previous prime is 2331400317361. The next prime is 2331400317413. The reversal of 2331400317408 is 8047130041332.

2331400317408 is a `hidden beast` number, since 2 + 331 + 4 + 0 + 0 + 317 + 4 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 3687016 + ... + 4272807.

Almost surely, 22331400317408 is an apocalyptic number.

It is an amenable number.

2331400317408 is an abundant number, since it is smaller than the sum of its proper divisors (4585861854720).

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

2331400317408 is a wasteful number, since it uses less digits than its factorization.

2331400317408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7959958 (or 7959941 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 2331400317408 in words is "two trillion, three hundred thirty-one billion, four hundred million, three hundred seventeen thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 113 144 162 216 226 288 324 339 432 452 648 678 864 904 1017 1296 1356 1808 2034 2592 2712 3051 3616 4068 5424 6102 8136 9153 10848 12204 16272 18306 24408 32544 36612 48816 73224 97632 146448 292896 7959823 15919646 23879469 31839292 47758938 63678584 71638407 95517876 127357168 143276814 191035752 214915221 254714336 286553628 382071504 429830442 573107256 644745663 764143008 859660884 899459999 1146214512 1289491326 1719321768 1798919998 2292429024 2578982652 2698379997 3438643536 3597839996 5157965304 5396759994 6877287072 7195679992 8095139991 10315930608 10793519988 14391359984 16190279982 20631861216 21587039976 24285419973 28782719968 32380559964 43174079952 48570839946 64761119928 72856259919 86348159904 97141679892 129522239856 145712519838 194283359784 259044479712 291425039676 388566719568 582850079352 777133439136 1165700158704 2331400317408