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1140323125640 = 235172117184239
BaseRepresentation
bin10000100110000000100…
…011100000100110001000
311001000101002010210021112
4100212000203200212020
5122140340210010030
62231505054025452
7145246161432416
oct20460043404610
94030332123245
101140323125640
113aa676749116
12165003aa8288
13836bba9462a
143d2989482b6
151e9e0a13a95
hex109808e0988

1140323125640 has 96 divisors (see below), whose sum is σ = 2727890006400. Its totient is φ = 428926417920.

The previous prime is 1140323125631. The next prime is 1140323125663. The reversal of 1140323125640 is 465213230411.

It is a junction number, because it is equal to n+sod(n) for n = 1140323125597 and 1140323125606.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13494641 + ... + 13578879.

It is an arithmetic number, because the mean of its divisors is an integer number (28415520900).

Almost surely, 21140323125640 is an apocalyptic number.

1140323125640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1140323125640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363945003200).

1140323125640 is an abundant number, since it is smaller than the sum of its proper divisors (1587566880760).

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

1140323125640 is a wasteful number, since it uses less digits than its factorization.

1140323125640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85455 (or 85434 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 1140323125640 in words is "one trillion, one hundred forty billion, three hundred twenty-three million, one hundred twenty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 289 340 578 680 1156 1171 1445 2312 2342 2890 4684 5780 5855 9368 11560 11710 19907 23420 39814 46840 79628 84239 99535 159256 168478 199070 336956 338419 398140 421195 673912 676838 796280 842390 1353676 1432063 1684780 1692095 2707352 2864126 3369560 3384190 5728252 6768380 7160315 11456504 13536760 14320630 24345071 28641260 48690142 57282520 97380284 98643869 121725355 194760568 197287738 243450710 394575476 486901420 493219345 789150952 973802840 986438690 1676945773 1972877380 3353891546 3945754760 6707783092 8384728865 13415566184 16769457730 28508078141 33538915460 57016156282 67077830920 114032312564 142540390705 228064625128 285080781410 570161562820 1140323125640