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13644794941440 = 2123513157233467
BaseRepresentation
bin1100011010001110110100…
…1001111101000000000000
31210022102121012221101100220
43012203231021331000000
53242024020001111230
645004155433543040
72605542511231335
oct306435511750000
953272535841326
1013644794941440
1143907a8030853
121644552274a80
1377c910bbb120
143525a95da98c
15189debe39d10
hexc68ed27d000

13644794941440 has 832 divisors, whose sum is σ = 47620615101696. Its totient is φ = 3315886718976.

The previous prime is 13644794941433. The next prime is 13644794941447. The reversal of 13644794941440 is 4414949744631.

It is an interprime number because it is at equal distance from previous prime (13644794941433) and next prime (13644794941447).

It is a tau number, because it is divible by the number of its divisors (832).

It is a super-2 number, since 2×136447949414402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13644794941447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29217976087 + ... + 29217976553.

It is an arithmetic number, because the mean of its divisors is an integer number (57236316228).

Almost surely, 213644794941440 is an apocalyptic number.

13644794941440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13644794941440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23810307550848).

13644794941440 is an abundant number, since it is smaller than the sum of its proper divisors (33975820160256).

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

13644794941440 is a wasteful number, since it uses less digits than its factorization.

13644794941440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 60.

The spelling of 13644794941440 in words is "thirteen trillion, six hundred forty-four billion, seven hundred ninety-four million, nine hundred forty-one thousand, four hundred forty".