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23513570001140 = 2252980950879851
BaseRepresentation
bin1010101100010101011011…
…11111001100000011110100
310002020212122010021222101012
411112022231333030003310
511040221242410014030
6122001552425051352
74644541120200032
oct526125577140364
9102225563258335
1023513570001140
11754605a2a498a
122779107026b58
13101742145767b
145b40c46bb552
152ab996704095
hex1562adfcc0f4

23513570001140 has 96 divisors (see below), whose sum is σ = 51159591705600. Its totient is φ = 9067174323200.

The previous prime is 23513570001139. The next prime is 23513570001149. The reversal of 23513570001140 is 4110007531532.

It is a junction number, because it is equal to n+sod(n) for n = 23513570001097 and 23513570001106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23513570001149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2386917215 + ... + 2386927065.

It is an arithmetic number, because the mean of its divisors is an integer number (532912413600).

Almost surely, 223513570001140 is an apocalyptic number.

23513570001140 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 23513570001140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25579795852800).

23513570001140 is an abundant number, since it is smaller than the sum of its proper divisors (27646021704460).

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

23513570001140 is a wasteful number, since it uses less digits than its factorization.

23513570001140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15785 (or 15783 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

Adding to 23513570001140 its reverse (4110007531532), we get a palindrome (27623577532672).

The spelling of 23513570001140 in words is "twenty-three trillion, five hundred thirteen billion, five hundred seventy million, one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 809 1618 3236 4045 5087 8090 9851 10174 16180 19702 20348 23461 25435 39404 46922 49255 50870 93844 98510 101740 117305 147523 197020 234610 285679 295046 469220 571358 590092 737615 1142716 1428395 1475230 2856790 2950460 4115383 5713580 7969459 8230766 15938918 16461532 20576915 31877836 39847295 41153830 50112037 79694590 82307660 100224074 119346107 159389180 200448148 231114311 238692214 250560185 462228622 477384428 501120370 596730535 924457244 1002240740 1155571555 1193461070 1453249073 2311143110 2386922140 2906498146 4622286220 5812996292 7266245365 14532490730 29064981460 40540637933 81081275866 162162551732 202703189665 405406379330 810812758660 1175678500057 2351357000114 4702714000228 5878392500285 11756785000570 23513570001140