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1334377013541 = 311133823181359
BaseRepresentation
bin10011011010101111000…
…100010110000100100101
311201120021000202200101220
4103122233010112010211
5133330301003413131
62501000534210553
7165256051320555
oct23325704260445
94646230680356
101334377013541
114749a7045290
121967401b3a59
1398aa6234980
1448827047165
1524a9be46e96
hex136af116125

1334377013541 has 32 divisors (see below), whose sum is σ = 2090293309440. Its totient is φ = 746475921600.

The previous prime is 1334377013531. The next prime is 1334377013581. The reversal of 1334377013541 is 1453107734331.

It is not a de Polignac number, because 1334377013541 - 213 = 1334377005349 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1334377013493 and 1334377013502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1334377013531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16360420 + ... + 16441778.

It is an arithmetic number, because the mean of its divisors is an integer number (65321665920).

Almost surely, 21334377013541 is an apocalyptic number.

1334377013541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1334377013541 is a deficient number, since it is larger than the sum of its proper divisors (755916295899).

1334377013541 is a wasteful number, since it uses less digits than its factorization.

1334377013541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119617.

The product of its (nonzero) digits is 317520, while the sum is 42.

The spelling of 1334377013541 in words is "one trillion, three hundred thirty-four billion, three hundred seventy-seven million, thirteen thousand, five hundred forty-one".

Divisors: 1 3 11 13 33 39 143 429 38231 81359 114693 244077 420541 497003 894949 1057667 1261623 1491009 2684847 3173001 5467033 11634337 16401099 34903011 3110435929 9331307787 34214795219 40435667077 102644385657 121307001231 444792337847 1334377013541