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149994914832 = 243577969763
BaseRepresentation
bin1000101110110001100…
…1001100010000010000
3112100011101220011100000
42023230121030100100
54424142144233312
6152523503330000
713560004511460
oct2135431142020
9470141804300
10149994914832
1158681245634
12250a0bb0900
13111b54bb999
14738cc29ba0
153d7d427adc
hex22ec64c410

149994914832 has 240 divisors, whose sum is σ = 503818864640. Its totient is φ = 42312606336.

The previous prime is 149994914821. The next prime is 149994914843. The reversal of 149994914832 is 238419499941.

149994914832 is a `hidden beast` number, since 14 + 9 + 99 + 491 + 48 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (149994914821) and next prime (149994914843).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 149994914832.

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, 2115183 + ... + 2184945.

Almost surely, 2149994914832 is an apocalyptic number.

149994914832 is a gapful number since it is divisible by the number (12) 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 149994914832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251909432320).

149994914832 is an abundant number, since it is smaller than the sum of its proper divisors (353823949808).

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

149994914832 is an equidigital number, since it uses as much as digits as its factorization.

149994914832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69872 (or 69854 counting only the distinct ones).

The product of its digits is 20155392, while the sum is 63.

The spelling of 149994914832 in words is "one hundred forty-nine billion, nine hundred ninety-four million, nine hundred fourteen thousand, eight hundred thirty-two".