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1140330414432 = 253117913669093
BaseRepresentation
bin10000100110000000111…
…111010100000101100000
311001000101120212002121210
4100212000333110011200
5122140344041230212
62231505514150120
7145246310410506
oct20460077240540
94030346762553
101140330414432
113aa67a877310
12165006422340
13836c0447121
143d2998c4676
151e9e14a353c
hex10980fd4160

1140330414432 has 96 divisors (see below), whose sum is σ = 3306827220480. Its totient is φ = 341180536320.

The previous prime is 1140330414403. The next prime is 1140330414469. The reversal of 1140330414432 is 2344140330411.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1140330414432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6751123 + ... + 6917970.

It is an arithmetic number, because the mean of its divisors is an integer number (34446116880).

Almost surely, 21140330414432 is an apocalyptic number.

1140330414432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1140330414432 is an abundant number, since it is smaller than the sum of its proper divisors (2166496806048).

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

1140330414432 is a wasteful number, since it uses less digits than its factorization.

1140330414432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13669196 (or 13669188 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 1140330414432 its reverse (2344140330411), we get a palindrome (3484470744843).

The spelling of 1140330414432 in words is "one trillion, one hundred forty billion, three hundred thirty million, four hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 79 88 96 132 158 176 237 264 316 352 474 528 632 869 948 1056 1264 1738 1896 2528 2607 3476 3792 5214 6952 7584 10428 13904 20856 27808 41712 83424 13669093 27338186 41007279 54676372 82014558 109352744 150360023 164029116 218705488 300720046 328058232 437410976 451080069 601440092 656116464 902160138 1079858347 1202880184 1312232928 1804320276 2159716694 2405760368 3239575041 3608640552 4319433388 4811520736 6479150082 7217281104 8638866776 11878441817 12958300164 14434562208 17277733552 23756883634 25916600328 34555467104 35635325451 47513767268 51833200656 71270650902 95027534536 103666401312 142541301804 190055069072 285082603608 380110138144 570165207216 1140330414432