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145928731920 = 24354314140381
BaseRepresentation
bin1000011111101000000…
…1111011110100010000
3111221200000122122222220
42013322001323310100
54342330223410140
6151012211101040
713354151520006
oct2077201736420
9457600578886
10145928731920
1156984a68194
12243472a1780
13109b7c66caa
1470c4ba8a76
153be147cbd0
hex21fa07bd10

145928731920 has 80 divisors (see below), whose sum is σ = 462899545152. Its totient is φ = 38009341440.

The previous prime is 145928731909. The next prime is 145928731937. The reversal of 145928731920 is 29137829541.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7059871 + ... + 7080510.

Almost surely, 2145928731920 is an apocalyptic number.

145928731920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145928731920 is an abundant number, since it is smaller than the sum of its proper divisors (316970813232).

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

145928731920 is a wasteful number, since it uses less digits than its factorization.

145928731920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14140440 (or 14140434 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 145928731920 in words is "one hundred forty-five billion, nine hundred twenty-eight million, seven hundred thirty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 430 516 645 688 860 1032 1290 1720 2064 2580 3440 5160 10320 14140381 28280762 42421143 56561524 70701905 84842286 113123048 141403810 169684572 212105715 226246096 282807620 339369144 424211430 565615240 608036383 678738288 848422860 1131230480 1216072766 1696845720 1824109149 2432145532 3040181915 3393691440 3648218298 4864291064 6080363830 7296436596 9120545745 9728582128 12160727660 14592873192 18241091490 24321455320 29185746384 36482182980 48642910640 72964365960 145928731920