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10140509541 = 331414216317
BaseRepresentation
bin10010111000110101…
…11110010101100101
3222011201011020222110
421130122332111211
5131231432301131
64354122151233
7506201623521
oct113432762545
928151136873
1010140509541
1143340649a8
121b70052519
13c57b45706
146c2a9ad81
153e53b5646
hex25c6be565

10140509541 has 32 divisors (see below), whose sum is σ = 14333469696. Its totient is φ = 6366528000.

The previous prime is 10140509527. The next prime is 10140509567. The reversal of 10140509541 is 14590504101.

It is not a de Polignac number, because 10140509541 - 222 = 10136315237 is a prime.

It is a super-2 number, since 2×101405095412 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10140509499 and 10140509508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10140509941) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1602115 + ... + 1608431.

It is an arithmetic number, because the mean of its divisors is an integer number (447920928).

Almost surely, 210140509541 is an apocalyptic number.

It is an amenable number.

10140509541 is a deficient number, since it is larger than the sum of its proper divisors (4192960155).

10140509541 is a wasteful number, since it uses less digits than its factorization.

10140509541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6813.

The product of its (nonzero) digits is 3600, while the sum is 30.

The spelling of 10140509541 in words is "ten billion, one hundred forty million, five hundred nine thousand, five hundred forty-one".

Divisors: 1 3 31 41 93 123 421 1263 1271 3813 6317 13051 17261 18951 39153 51783 195827 258997 535091 587481 776991 1605273 2659457 7978371 8028907 24086721 82443167 109037737 247329501 327113211 3380169847 10140509541