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103439188944 = 243472131071171
BaseRepresentation
bin110000001010101110…
…1001100001111010000
3100212222212002020120000
41200111131030033100
53143320413021234
6115304100450000
710321214412300
oct1402535141720
9325885066500
10103439188944
113a9607a8713
12180696a9900
1399a61a6ba0
145013b0d600
152a56133899
hex181574c3d0

103439188944 has 600 divisors, whose sum is σ = 378879687648. Its totient is φ = 27002626560.

The previous prime is 103439188933. The next prime is 103439188997. The reversal of 103439188944 is 449881934301.

103439188944 is a `hidden beast` number, since 103 + 439 + 18 + 8 + 94 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 88333479 + ... + 88334649.

Almost surely, 2103439188944 is an apocalyptic number.

103439188944 is a gapful number since it is divisible by the number (14) 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 103439188944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189439843824).

103439188944 is an abundant number, since it is smaller than the sum of its proper divisors (275440498704).

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

103439188944 is a wasteful number, since it uses less digits than its factorization.

103439188944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 103439188944 in words is "one hundred three billion, four hundred thirty-nine million, one hundred eighty-eight thousand, nine hundred forty-four".