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232132120440240 = 2435967217168501
BaseRepresentation
bin110100110001111101111000…
…100101000110110110110000
31010102220121120121002102211010
4310301331320211012312300
5220411223040313041430
62141412005101150520
766615664225515006
oct6461757045066660
91112817517072733
10232132120440240
1167a67752353469
122205091555b440
139c6ac71230787
14414737c7b6a76
151bc8450e0ccb0
hexd31f78946db0

232132120440240 has 40 divisors (see below), whose sum is σ = 719609573365488. Its totient is φ = 61901898784000.

The previous prime is 232132120440131. The next prime is 232132120440251. The reversal of 232132120440240 is 42044021231232.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2321321204402402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 232132120440198 and 232132120440207.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 483608584011 + ... + 483608584490.

Almost surely, 2232132120440240 is an apocalyptic number.

232132120440240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232132120440240 is an abundant number, since it is smaller than the sum of its proper divisors (487477452925248).

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

232132120440240 is a wasteful number, since it uses less digits than its factorization.

232132120440240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967217168517 (or 967217168511 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 232132120440240 its reverse (42044021231232), we get a palindrome (274176141671472).

The spelling of 232132120440240 in words is "two hundred thirty-two trillion, one hundred thirty-two billion, one hundred twenty million, four hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 967217168501 1934434337002 2901651505503 3868868674004 4836085842505 5803303011006 7737737348008 9672171685010 11606606022012 14508257527515 15475474696016 19344343370020 23213212044024 29016515055030 38688686740040 46426424088048 58033030110060 77377373480080 116066060220120 232132120440240