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15145514240 = 28511832433
BaseRepresentation
bin11100001101011111…
…00011010100000000
31110002111221211200212
432012233203110000
5222004222423430
610542512533252
71044214514123
oct160657432400
943074854625
1015145514240
11647228001a
122b28251228
131574a3725c
14a396a23ba
155d99a9b95
hex386be3500

15145514240 has 36 divisors (see below), whose sum is σ = 36278242644. Its totient is φ = 6058205184.

The previous prime is 15145514221. The next prime is 15145514243. The reversal of 15145514240 is 4241554151.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9026520064 + 6118994176 = 95008^2 + 78224^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 15145514197 and 15145514206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15145514243) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5914937 + ... + 5917496.

Almost surely, 215145514240 is an apocalyptic number.

15145514240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15145514240 is an abundant number, since it is smaller than the sum of its proper divisors (21132728404).

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

15145514240 is an equidigital number, since it uses as much as digits as its factorization.

15145514240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11832454 (or 11832440 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 32.

The spelling of 15145514240 in words is "fifteen billion, one hundred forty-five million, five hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 11832433 23664866 47329732 59162165 94659464 118324330 189318928 236648660 378637856 473297320 757275712 946594640 1514551424 1893189280 3029102848 3786378560 7572757120 15145514240