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113977403040 = 253517431572069
BaseRepresentation
bin110101000100110010…
…1010010011010100000
3101220012021120222121210
41222021211102122200
53331411203344130
6124205511150120
711143315640454
oct1521145223240
9356167528553
10113977403040
11443792aa966
121a10a975340
13a995539127
145733534664
152e713a75b0
hex1a899526a0

113977403040 has 384 divisors, whose sum is σ = 391655658240. Its totient is φ = 27749449728.

The previous prime is 113977403027. The next prime is 113977403081. The reversal of 113977403040 is 40304779311.

It is a super-3 number, since 3×1139774030403 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 113977403040.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55087126 + ... + 55089194.

It is an arithmetic number, because the mean of its divisors is an integer number (1019936610).

Almost surely, 2113977403040 is an apocalyptic number.

113977403040 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 113977403040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195827829120).

113977403040 is an abundant number, since it is smaller than the sum of its proper divisors (277678255200).

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

113977403040 is a wasteful number, since it uses less digits than its factorization.

113977403040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2304 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The spelling of 113977403040 in words is "one hundred thirteen billion, nine hundred seventy-seven million, four hundred three thousand, forty".