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149140860422400 = 28355271121959101
BaseRepresentation
bin100001111010010010010000…
…000000011100100100000000
3201120001201121222210020100000
4201322102100000130210000
5124022010440232004100
61245110210533200000
743262033360633640
oct4172222000344400
9646051558706300
10149140860422400
1143580313683600
12148885b8490000
13652abcc4ac552
1428b86559b8520
1512397691e9900
hex87a49001c900

149140860422400 has 7776 divisors, whose sum is σ = 750943086566400. Its totient is φ = 28575866880000.

The previous prime is 149140860422369. The next prime is 149140860422413. The reversal of 149140860422400 is 4224068041941.

149140860422400 is a `hidden beast` number, since 1 + 4 + 9 + 14 + 0 + 8 + 604 + 2 + 24 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7776).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 1476642182350 + ... + 1476642182450.

Almost surely, 2149140860422400 is an apocalyptic number.

149140860422400 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 149140860422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375471543283200).

149140860422400 is an abundant number, since it is smaller than the sum of its proper divisors (601802226144000).

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

149140860422400 is a wasteful number, since it uses less digits than its factorization.

149140860422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 149140860422400 in words is "one hundred forty-nine trillion, one hundred forty billion, eight hundred sixty million, four hundred twenty-two thousand, four hundred".