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10145332340 = 225111319186701
BaseRepresentation
bin10010111001011010…
…10111110001110100
3222012001020021121122
421130231113301310
5131234201113330
64354413403112
7506260621253
oct113455276164
928161207548
1010145332340
114336859390
121b71799498
13c58b43940
146c359479a
153e5a195e5
hex25cb57c74

10145332340 has 96 divisors (see below), whose sum is σ = 26347386240. Its totient is φ = 3226176000.

The previous prime is 10145332313. The next prime is 10145332387. The reversal of 10145332340 is 4323354101.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 39011 + ... + 147690.

It is an arithmetic number, because the mean of its divisors is an integer number (274451940).

Almost surely, 210145332340 is an apocalyptic number.

10145332340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10145332340 is an abundant number, since it is smaller than the sum of its proper divisors (16202053900).

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

10145332340 is a wasteful number, since it uses less digits than its factorization.

10145332340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186753 (or 186751 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 10145332340 its reverse (4323354101), we get a palindrome (14468686441).

The spelling of 10145332340 in words is "ten billion, one hundred forty-five million, three hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 13 19 20 22 26 38 44 52 55 65 76 95 110 130 143 190 209 220 247 260 286 380 418 494 572 715 836 988 1045 1235 1430 2090 2470 2717 2860 4180 4940 5434 10868 13585 27170 54340 186701 373402 746804 933505 1867010 2053711 2427113 3547319 3734020 4107422 4854226 7094638 8214844 9708452 10268555 12135565 14189276 17736595 20537110 24271130 26698243 35473190 39020509 41074220 46115147 48542260 53396486 70946380 78041018 92230294 106792972 133491215 156082036 184460588 195102545 230575735 266982430 390205090 461151470 507266617 533964860 780410180 922302940 1014533234 2029066468 2536333085 5072666170 10145332340