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23432514014140 = 22571122368232817
BaseRepresentation
bin1010101001111110011101…
…01011001000101110111100
310001222010102012011012112121
411110333032223020232330
511032404242041423030
6121500425350012324
74635641353523110
oct524771653105674
9101863365135477
1023432514014140
117514745305180
1227654656470a4
13100c8a461219a
145b01d55bd740
152a980069547a
hex154fceac8bbc

23432514014140 has 96 divisors (see below), whose sum is σ = 61625697767424. Its totient is φ = 7270888872960.

The previous prime is 23432514014113. The next prime is 23432514014153. The reversal of 23432514014140 is 4141041523432.

It is a super-2 number, since 2×234325140141402 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23432514014096 and 23432514014105.

It is a congruent number.

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, 33772989 + ... + 34459828.

It is an arithmetic number, because the mean of its divisors is an integer number (641934351744).

Almost surely, 223432514014140 is an apocalyptic number.

23432514014140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23432514014140 is an abundant number, since it is smaller than the sum of its proper divisors (38193183753284).

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

23432514014140 is a wasteful number, since it uses less digits than its factorization.

23432514014140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68233067 (or 68233065 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

Adding to 23432514014140 its reverse (4141041523432), we get a palindrome (27573555537572).

The spelling of 23432514014140 in words is "twenty-three trillion, four hundred thirty-two billion, five hundred fourteen million, fourteen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 223 308 385 446 770 892 1115 1540 1561 2230 2453 3122 4460 4906 6244 7805 9812 12265 15610 17171 24530 31220 34342 49060 68684 85855 171710 343420 68232817 136465634 272931268 341164085 477629719 682328170 750560987 955259438 1364656340 1501121974 1910518876 2388148595 3002243948 3752804935 4776297190 5253926909 7505609870 9552594380 10507853818 15011219740 15215918191 21015707636 26269634545 30431836382 52539269090 60863672764 76079590955 105078538180 106511427337 152159181910 167375100101 213022854674 304318363820 334750200202 426045709348 532557136685 669500400404 836875500505 1065114273370 1171625700707 1673751001010 2130228546740 2343251401414 3347502002020 4686502802828 5858128503535 11716257007070 23432514014140