Search a number
-
+
1140675739440 = 24356736970549
BaseRepresentation
bin10000100110010101100…
…100100111111100110000
311001001021122122102110220
4100212111210213330300
5122142100442130230
62232004051453040
7145261002544116
oct20462544477460
94031248572426
101140675739440
113aa837799086
121650a1bb7180
1383746b54453
143d2cd6d5ab6
151ea11966d10
hex10995927f30

1140675739440 has 80 divisors (see below), whose sum is σ = 3536197404000. Its totient is φ = 304171370496.

The previous prime is 1140675739417. The next prime is 1140675739457. The reversal of 1140675739440 is 449375760411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×11406757394402 (a number of 25 digits) contains 22 as substring.

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, 16133286 + ... + 16203834.

It is an arithmetic number, because the mean of its divisors is an integer number (44202467550).

Almost surely, 21140675739440 is an apocalyptic number.

1140675739440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1140675739440 is an abundant number, since it is smaller than the sum of its proper divisors (2395521664560).

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

1140675739440 is a wasteful number, since it uses less digits than its factorization.

1140675739440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137934 (or 137928 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 1140675739440 in words is "one trillion, one hundred forty billion, six hundred seventy-five million, seven hundred thirty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 67369 70549 134738 141098 202107 211647 269476 282196 336845 352745 404214 423294 538952 564392 673690 705490 808428 846588 1010535 1058235 1077904 1128784 1347380 1410980 1616856 1693176 2021070 2116470 2694760 2821960 3233712 3386352 4042140 4232940 5389520 5643920 8084280 8465880 16168560 16931760 4752815581 9505631162 14258446743 19011262324 23764077905 28516893486 38022524648 47528155810 57033786972 71292233715 76045049296 95056311620 114067573944 142584467430 190112623240 228135147888 285168934860 380225246480 570337869720 1140675739440