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132170404750240 = 255842398072543
BaseRepresentation
bin11110000011010101010010…
…000001100110001110100000
3122022222100220202110100210211
4132003111102001212032200
5114310434442104001430
61145034125024103504
736560665561532533
oct3603252201461640
9568870822410724
10132170404750240
113912817689600a
12129a7615164b94
1358998008890cc
14248d120364a1a
1510430c76c272a
hex7835520663a0

132170404750240 has 48 divisors (see below), whose sum is σ = 312289655827968. Its totient is φ = 52861884718336.

The previous prime is 132170404750231. The next prime is 132170404750249. The reversal of 132170404750240 is 42057404071231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132170404750231) and next prime (132170404750249).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 132170404750193 and 132170404750202.

It is not an unprimeable number, because it can be changed into a prime (132170404750249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47688592 + ... + 50383951.

It is an arithmetic number, because the mean of its divisors is an integer number (6506034496416).

Almost surely, 2132170404750240 is an apocalyptic number.

132170404750240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132170404750240 is an abundant number, since it is smaller than the sum of its proper divisors (180119251077728).

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

132170404750240 is an equidigital number, since it uses as much as digits as its factorization.

132170404750240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98080981 (or 98080973 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 40.

The spelling of 132170404750240 in words is "one hundred thirty-two trillion, one hundred seventy billion, four hundred four million, seven hundred fifty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 8423 16846 33692 42115 67384 84230 134768 168460 269536 336920 673840 1347680 98072543 196145086 392290172 490362715 784580344 980725430 1569160688 1961450860 3138321376 3922901720 7845803440 15691606880 826065029689 1652130059378 3304260118756 4130325148445 6608520237512 8260650296890 13217040475024 16521300593780 26434080950048 33042601187560 66085202375120 132170404750240