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23014651240 = 23572113103913
BaseRepresentation
bin10101011011110001…
…111011010101101000
32012101221010102022101
4111123301323111220
5334113222314430
614323415503144
71443216210400
oct253361732550
965357112271
1023014651240
119840197129
124563687ab4
13222a11bb39
141184823800
158ea755dca
hex55bc7b568

23014651240 has 96 divisors (see below), whose sum is σ = 60770985480. Its totient is φ = 7820832768.

The previous prime is 23014651229. The next prime is 23014651249. The reversal of 23014651240 is 4215641032.

It can be written as a sum of positive squares in 4 ways, for example, as 7492979844 + 15521671396 = 86562^2 + 124586^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 23014651199 and 23014651208.

It is not an unprimeable number, because it can be changed into a prime (23014651249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169524 + ... + 273436.

Almost surely, 223014651240 is an apocalyptic number.

23014651240 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 23014651240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30385492740).

23014651240 is an abundant number, since it is smaller than the sum of its proper divisors (37756334240).

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

23014651240 is a wasteful number, since it uses less digits than its factorization.

23014651240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104051 (or 104040 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The spelling of 23014651240 in words is "twenty-three billion, fourteen million, six hundred fifty-one thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 113 140 196 226 245 280 392 452 490 565 791 904 980 1130 1582 1960 2260 3164 3955 4520 5537 6328 7910 11074 15820 22148 27685 31640 44296 55370 103913 110740 207826 221480 415652 519565 727391 831304 1039130 1454782 2078260 2909564 3636955 4156520 5091737 5819128 7273910 10183474 11742169 14547820 20366948 23484338 25458685 29095640 40733896 46968676 50917370 58710845 82195183 93937352 101834740 117421690 164390366 203669480 234843380 328780732 410975915 469686760 575366281 657561464 821951830 1150732562 1643903660 2301465124 2876831405 3287807320 4602930248 5753662810 11507325620 23014651240