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23432500140 = 2235765385439
BaseRepresentation
bin10101110100101011…
…111001001110101100
32020111001101100020120
4111310223321032230
5340442210001030
614433103444540
71456451651640
oct256453711654
966431340216
1023432500140
119a350431a5
12465b5b6750
13229586c6ca
1411c4112c20
15922293010
hex574af93ac

23432500140 has 96 divisors (see below), whose sum is σ = 75099709440. Its totient is φ = 5347735296.

The previous prime is 23432500129. The next prime is 23432500181. The reversal of 23432500140 is 4100523432.

It is a super-2 number, since 2×234325001402 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23432500140.

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, 231541 + ... + 316979.

It is an arithmetic number, because the mean of its divisors is an integer number (782288640).

Almost surely, 223432500140 is an apocalyptic number.

23432500140 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 23432500140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37549854720).

23432500140 is an abundant number, since it is smaller than the sum of its proper divisors (51667209300).

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

23432500140 is a wasteful number, since it uses less digits than its factorization.

23432500140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86111 (or 86109 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The spelling of 23432500140 in words is "twenty-three billion, four hundred thirty-two million, five hundred thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 653 1306 1959 2612 3265 3918 4571 6530 7836 9142 9795 13060 13713 18284 19590 22855 27426 39180 45710 54852 68565 85439 91420 137130 170878 256317 274260 341756 427195 512634 598073 854390 1025268 1196146 1281585 1708780 1794219 2392292 2563170 2990365 3588438 5126340 5980730 7176876 8971095 11961460 17942190 35884380 55791667 111583334 167375001 223166668 278958335 334750002 390541669 557916670 669500004 781083338 836875005 1115833340 1171625007 1562166676 1673750010 1952708345 2343250014 3347500020 3905416690 4686500028 5858125035 7810833380 11716250070 23432500140