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23040122415345 = 345721279141763
BaseRepresentation
bin1010011110100011100100…
…10011111110100011110001
310000120121120202010122220000
411033101302103332203301
511004442132314242340
6121000253000140213
74565410466130600
oct517216223764361
9100517522118800
1023040122415345
1173832964a3262
1227013b6467669
13cb189c3575b9
1459920daa9a37
1529e4d6be2d30
hex14f4724fe8f1

23040122415345 has 120 divisors (see below), whose sum is σ = 48422973164544. Its totient is φ = 10449692172864.

The previous prime is 23040122415319. The next prime is 23040122415379. The reversal of 23040122415345 is 54351422104032.

It is a happy number.

23040122415345 is a `hidden beast` number, since 2 + 3 + 0 + 401 + 2 + 241 + 5 + 3 + 4 + 5 = 666.

It is not a de Polignac number, because 23040122415345 - 27 = 23040122415217 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2050567 + ... + 7091196.

Almost surely, 223040122415345 is an apocalyptic number.

It is an amenable number.

23040122415345 is an abundant number, since it is smaller than the sum of its proper divisors (25382850749199).

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

23040122415345 is a wasteful number, since it uses less digits than its factorization.

23040122415345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9141921 (or 9141905 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 23040122415345 its reverse (54351422104032), we get a palindrome (77391544519377).

The spelling of 23040122415345 in words is "twenty-three trillion, forty billion, one hundred twenty-two million, four hundred fifteen thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 81 105 127 135 147 189 245 315 381 405 441 567 635 735 889 945 1143 1323 1905 2205 2667 2835 3429 3969 4445 5715 6223 6615 8001 10287 13335 17145 18669 19845 24003 31115 40005 51435 56007 72009 93345 120015 168021 280035 360045 504063 840105 2520315 9141763 27425289 45708815 63992341 82275867 137126445 191977023 246827601 319961705 411379335 447946387 575931069 740482803 959885115 1161003901 1234138005 1343839161 1727793207 2239731935 2879655345 3483011703 3702414015 4031517483 5183379621 5805019505 6719195805 8127027307 8638966035 10449035109 12094552449 17415058515 20157587415 24381081921 25916898105 31347105327 36283657347 40635136535 52245175545 56889191149 60472762245 73143245763 94041315981 121905409605 156735526635 170667573447 181418286735 219429737289 284445955745 365716228815 470206579905 512002720341 658289211867 853337867235 1097148686445 1536008161023 2560013601705 3291446059335 4608024483069 7680040805115 23040122415345