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137440101381 = 3114164851557
BaseRepresentation
bin1000000000000000010…
…0011000010000000101
3111010202102210120000020
42000000010120100011
54222434131221011
6143050014205353
712633615405012
oct2000004302005
9433672716006
10137440101381
1153319399450
12227784b3859
13cc6441ca9b
14691b668709
153896113006
hex2000118405

137440101381 has 8 divisors (see below), whose sum is σ = 199912874784. Its totient is φ = 83297031120.

The previous prime is 137440101371. The next prime is 137440101443. The reversal of 137440101381 is 183101044731.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 137440101381 - 211 = 137440099333 is a prime.

It is a super-2 number, since 2×1374401013812 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33), and also a Moran number because the ratio is a prime number: 4164851557 = 137440101381 / (1 + 3 + 7 + 4 + 4 + 0 + 1 + 0 + 1 + 3 + 8 + 1).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137440101301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2082425746 + ... + 2082425811.

It is an arithmetic number, because the mean of its divisors is an integer number (24989109348).

Almost surely, 2137440101381 is an apocalyptic number.

137440101381 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

137440101381 is a deficient number, since it is larger than the sum of its proper divisors (62472773403).

137440101381 is a wasteful number, since it uses less digits than its factorization.

137440101381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4164851571.

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 137440101381 in words is "one hundred thirty-seven billion, four hundred forty million, one hundred one thousand, three hundred eighty-one".

Divisors: 1 3 11 33 4164851557 12494554671 45813367127 137440101381