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23244466440 = 233513103914341
BaseRepresentation
bin10101101001011110…
…100110100100001000
32012222221120020111110
4111221132212210020
5340101040411230
614402305330320
71452006463506
oct255136464410
965887506443
1023244466440
119948993748
1246086369a0
132265914c70
1411a7167676
159109ee4b0
hex5697a6908

23244466440 has 128 divisors (see below), whose sum is σ = 75175027200. Its totient is φ = 5715809280.

The previous prime is 23244466429. The next prime is 23244466493. The reversal of 23244466440 is 4466444232.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1613670 + ... + 1628010.

It is an arithmetic number, because the mean of its divisors is an integer number (587304900).

Almost surely, 223244466440 is an apocalyptic number.

23244466440 is a gapful number since it is divisible by the number (20) 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 23244466440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37587513600).

23244466440 is an abundant number, since it is smaller than the sum of its proper divisors (51930560760).

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

23244466440 is a wasteful number, since it uses less digits than its factorization.

23244466440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15407 (or 15403 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 39.

The spelling of 23244466440 in words is "twenty-three billion, two hundred forty-four million, four hundred sixty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1039 1560 2078 3117 4156 5195 6234 8312 10390 12468 13507 14341 15585 20780 24936 27014 28682 31170 40521 41560 43023 54028 57364 62340 67535 71705 81042 86046 108056 114728 124680 135070 143410 162084 172092 186433 202605 215115 270140 286820 324168 344184 372866 405210 430230 540280 559299 573640 745732 810420 860460 932165 1118598 1491464 1620840 1720920 1864330 2237196 2796495 3728660 4474392 5592990 7457320 11185980 14900299 22371960 29800598 44700897 59601196 74501495 89401794 119202392 149002990 178803588 193703887 223504485 298005980 357607176 387407774 447008970 581111661 596011960 774815548 894017940 968519435 1162223322 1549631096 1788035880 1937038870 2324446644 2905558305 3874077740 4648893288 5811116610 7748155480 11622233220 23244466440