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13644151440 = 243556850631
BaseRepresentation
bin11001011010100000…
…10011101010010000
31022012212212201010020
430231100103222100
5210420400321230
610133521303440
7662054242113
oct145520235220
938185781106
1013644151440
115871849a17
122789494b80
1313959888ba
1493612657a
1554cc91810
hex32d413a90

13644151440 has 40 divisors (see below), whose sum is σ = 42296870208. Its totient is φ = 3638440320.

The previous prime is 13644151429. The next prime is 13644151441. The reversal of 13644151440 is 4415144631.

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

It is not an unprimeable number, because it can be changed into a prime (13644151441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28425076 + ... + 28425555.

Almost surely, 213644151440 is an apocalyptic number.

13644151440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13644151440 is an abundant number, since it is smaller than the sum of its proper divisors (28652718768).

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

13644151440 is a wasteful number, since it uses less digits than its factorization.

13644151440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56850647 (or 56850641 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 13644151440 in words is "thirteen billion, six hundred forty-four million, one hundred fifty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 56850631 113701262 170551893 227402524 284253155 341103786 454805048 568506310 682207572 852759465 909610096 1137012620 1364415144 1705518930 2274025240 2728830288 3411037860 4548050480 6822075720 13644151440