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10134034540 = 2257317013331
BaseRepresentation
bin10010111000000100…
…10001100001101100
3222011020222021221121
421130002101201230
5131223303101130
64353331310324
7506062605130
oct113402214154
928136867847
1010134034540
114330442163
121b69a4b3a4
13c566b9456
146c1c933c0
153e4a36d7a
hex25c09186c

10134034540 has 96 divisors (see below), whose sum is σ = 25149616128. Its totient is φ = 3356640000.

The previous prime is 10134034529. The next prime is 10134034553. The reversal of 10134034540 is 4543043101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3040675 + ... + 3044005.

It is an arithmetic number, because the mean of its divisors is an integer number (261975168).

Almost surely, 210134034540 is an apocalyptic number.

10134034540 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 10134034540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12574808064).

10134034540 is an abundant number, since it is smaller than the sum of its proper divisors (15015581588).

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

10134034540 is a wasteful number, since it uses less digits than its factorization.

10134034540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4079 (or 4077 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 10134034540 its reverse (4543043101), we get a palindrome (14677077641).

The spelling of 10134034540 in words is "ten billion, one hundred thirty-four million, thirty-four thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 434 620 701 868 1085 1402 2170 2804 3331 3505 4340 4907 6662 7010 9814 13324 14020 16655 19628 21731 23317 24535 33310 43462 46634 49070 66620 86924 93268 98140 103261 108655 116585 152117 206522 217310 233170 304234 413044 434620 466340 516305 608468 722827 760585 1032610 1445654 1521170 2065220 2335031 2891308 3042340 3614135 4670062 7228270 9340124 11675155 14456540 16345217 23350310 32690434 46700620 65380868 72385961 81726085 144771922 163452170 289543844 326904340 361929805 506701727 723859610 1013403454 1447719220 2026806908 2533508635 5067017270 10134034540