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149731143249240 = 233357412311209029
BaseRepresentation
bin100010000010110111111111…
…100110101110110101011000
3201122011011020211001202012000
4202002313333212232311120
5124111143340132433430
61250241312042521000
743352501212113030
oct4202677746566530
9648134224052160
10149731143249240
1143788691977083
1214962a94b06160
136571780c16847
1428d90514bc8c0
151249cb5e24e60
hex882dff9aed58

149731143249240 has 512 divisors, whose sum is σ = 584572294656000. Its totient is φ = 33374915481600.

The previous prime is 149731143249229. The next prime is 149731143249301. The reversal of 149731143249240 is 42942341137941.

149731143249240 is a `hidden beast` number, since 1 + 4 + 9 + 7 + 3 + 1 + 143 + 2 + 492 + 4 + 0 = 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 127 ways as a sum of consecutive naturals, for example, 716213046 + ... + 716422074.

It is an arithmetic number, because the mean of its divisors is an integer number (1141742763000).

Almost surely, 2149731143249240 is an apocalyptic number.

149731143249240 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 149731143249240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292286147328000).

149731143249240 is an abundant number, since it is smaller than the sum of its proper divisors (434841151406760).

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

149731143249240 is a wasteful number, since it uses less digits than its factorization.

149731143249240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211408 (or 211398 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 149731143249240 in words is "one hundred forty-nine trillion, seven hundred thirty-one billion, one hundred forty-three million, two hundred forty-nine thousand, two hundred forty".