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23141001400 = 23521146122817
BaseRepresentation
bin10101100011010011…
…111010100010111000
32012201201212200010221
4111203103322202320
5334343044021100
614344131545424
71446312160246
oct254323724270
965651780127
1023141001400
1198a5545950
124599a5b274
13224a35a24a
141197513796
159068b301a
hex5634fa8b8

23141001400 has 96 divisors (see below), whose sum is σ = 58823891280. Its totient is φ = 8396288000.

The previous prime is 23141001397. The next prime is 23141001437. The reversal of 23141001400 is 410014132.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1002792 + ... + 1025608.

Almost surely, 223141001400 is an apocalyptic number.

23141001400 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 23141001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29411945640).

23141001400 is an abundant number, since it is smaller than the sum of its proper divisors (35682889880).

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

23141001400 is a wasteful number, since it uses less digits than its factorization.

23141001400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23305 (or 23296 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 23141001400 its reverse (410014132), we get a palindrome (23551015532).

The spelling of 23141001400 in words is "twenty-three billion, one hundred forty-one million, one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 461 550 922 1100 1844 2200 2305 3688 4610 5071 9220 10142 11525 18440 20284 22817 23050 25355 40568 45634 46100 50710 91268 92200 101420 114085 126775 182536 202840 228170 250987 253550 456340 501974 507100 570425 912680 1003948 1014200 1140850 1254935 2007896 2281700 2509870 4563400 5019740 6274675 10039480 10518637 12549350 21037274 25098700 42074548 50197400 52593185 84149096 105186370 115705007 210372740 231410014 262965925 420745480 462820028 525931850 578525035 925640056 1051863700 1157050070 2103727400 2314100140 2892625175 4628200280 5785250350 11570500700 23141001400