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16440161351040 = 2732572592114679
BaseRepresentation
bin1110111100111100010111…
…1110100011010110000000
32011012122221010000012020100
43233033011332203112000
54123323422301213130
654544301133242400
73314522344534500
oct357170576432600
964178833005210
1016440161351040
115269262541279
121a16268933400
139233ba45059b
1440b9cac8da00
151d79a652dc60
hexef3c5fa3580

16440161351040 has 1152 divisors, whose sum is σ = 67490493408000. Its totient is φ = 3675767316480.

The previous prime is 16440161350939. The next prime is 16440161351059. The reversal of 16440161351040 is 4015316104461.

16440161351040 is a `hidden beast` number, since 1 + 6 + 4 + 40 + 1 + 61 + 3 + 510 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×164401613510403 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 16440161350986 and 16440161351004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3513603421 + ... + 3513608099.

It is an arithmetic number, because the mean of its divisors is an integer number (58585497750).

Almost surely, 216440161351040 is an apocalyptic number.

16440161351040 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 16440161351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33745246704000).

16440161351040 is an abundant number, since it is smaller than the sum of its proper divisors (51050332056960).

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

16440161351040 is a wasteful number, since it uses less digits than its factorization.

16440161351040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4988 (or 4966 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 16440161351040 in words is "sixteen trillion, four hundred forty billion, one hundred sixty-one million, three hundred fifty-one thousand, forty".