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149379364440 = 2332537611571171
BaseRepresentation
bin1000101100011110110…
…1000011011001011000
3112021120111121221221100
42023013231003121120
54421412104130230
6152342434111400
713535521435065
oct2130755033130
9467514557840
10149379364440
11583958364a9
1224b4aa1b560
1311117b0a097
147331195c6c
153d44387660
hex22c7b43658

149379364440 has 384 divisors, whose sum is σ = 510441347520. Its totient is φ = 37847347200.

The previous prime is 149379364439. The next prime is 149379364441. The reversal of 149379364440 is 44463973941.

149379364440 is a `hidden beast` number, since 1 + 493 + 7 + 93 + 64 + 4 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (149379364439) and next prime (149379364441).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149379364441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 127565055 + ... + 127566225.

Almost surely, 2149379364440 is an apocalyptic number.

149379364440 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 149379364440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255220673760).

149379364440 is an abundant number, since it is smaller than the sum of its proper divisors (361061983080).

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

149379364440 is a wasteful number, since it uses less digits than its factorization.

149379364440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1443 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 149379364440 in words is "one hundred forty-nine billion, three hundred seventy-nine million, three hundred sixty-four thousand, four hundred forty".