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10140240412134 = 2327129162337799
BaseRepresentation
bin1001001110001111010101…
…1011010111110111100110
31022220101201210022100000200
42103203311123113313212
52312114203021142014
633322210115451330
72064415416233520
oct223436533276746
938811653270020
1010140240412134
11325a4a73a2378
1211792b5bb6b46
135872b3783b01
14270b0c65ca10
15128b86d02a09
hex938f56d7de6

10140240412134 has 48 divisors (see below), whose sum is σ = 25128616531200. Its totient is φ = 2894967339120.

The previous prime is 10140240412129. The next prime is 10140240412147. The reversal of 10140240412134 is 43121404204101.

10140240412134 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 0 + 240 + 412 + 1 + 3 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10140240412098 and 10140240412107.

It is a congruent number.

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, 31006234 + ... + 31331565.

It is an arithmetic number, because the mean of its divisors is an integer number (523512844400).

Almost surely, 210140240412134 is an apocalyptic number.

10140240412134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10140240412134 is an abundant number, since it is smaller than the sum of its proper divisors (14988376119066).

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

10140240412134 is a wasteful number, since it uses less digits than its factorization.

10140240412134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62339105 (or 62339102 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 10140240412134 its reverse (43121404204101), we get a palindrome (53261644616235).

The spelling of 10140240412134 in words is "ten trillion, one hundred forty billion, two hundred forty million, four hundred twelve thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 1291 2582 3873 7746 9037 11619 18074 23238 27111 54222 81333 162666 62337799 124675598 187013397 374026794 436364593 561040191 872729186 1122080382 1309093779 2618187558 3927281337 7854562674 80478098509 160956197018 241434295527 482868591054 563346689563 724302886581 1126693379126 1448605773162 1690040068689 3380080137378 5070120206067 10140240412134