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149351040384 = 27372131573889
BaseRepresentation
bin1000101100011000000…
…1000000010110000000
3112021111112022221122020
42023012001000112000
54421332331243014
6152335543041440
713535025616500
oct2130601002600
9467445287566
10149351040384
1158380850197
1224b41440280
1311111ca0ba0
14732b501a00
153d41b401a9
hex22c6040580

149351040384 has 384 divisors, whose sum is σ = 500276095200. Its totient is φ = 39128334336.

The previous prime is 149351040373. The next prime is 149351040413. The reversal of 149351040384 is 483040153941.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38401512 + ... + 38405400.

Almost surely, 2149351040384 is an apocalyptic number.

149351040384 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 149351040384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250138047600).

149351040384 is an abundant number, since it is smaller than the sum of its proper divisors (350925054816).

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

149351040384 is a wasteful number, since it uses less digits than its factorization.

149351040384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4090 (or 4071 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 149351040384 in words is "one hundred forty-nine billion, three hundred fifty-one million, forty thousand, three hundred eighty-four".