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13880498212440 = 23325233491480203
BaseRepresentation
bin1100100111111100111000…
…1010100100111001011000
31211010221222210020011020200
43021333032022210321120
53304404230020244230
645304340213022200
72631555454045416
oct311771612447130
954127883204220
1013880498212440
114471760416992
121682172924960
13798c05047152
1435db693742b6
151910e4a5b160
hexc9fce2a4e58

13880498212440 has 192 divisors, whose sum is σ = 47086576093440. Its totient is φ = 3539511317760.

The previous prime is 13880498212391. The next prime is 13880498212459. The reversal of 13880498212440 is 4421289408831.

13880498212440 is a `hidden beast` number, since 1 + 3 + 8 + 80 + 49 + 82 + 1 + 2 + 440 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28665379 + ... + 29145581.

It is an arithmetic number, because the mean of its divisors is an integer number (245242583820).

Almost surely, 213880498212440 is an apocalyptic number.

13880498212440 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 13880498212440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23543288046720).

13880498212440 is an abundant number, since it is smaller than the sum of its proper divisors (33206077881000).

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

13880498212440 is a wasteful number, since it uses less digits than its factorization.

13880498212440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483734 (or 483727 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 13880498212440 in words is "thirteen trillion, eight hundred eighty billion, four hundred ninety-eight million, two hundred twelve thousand, four hundred forty".