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156921300144 = 243273141532311
BaseRepresentation
bin1001001000100100111…
…1010000010010110000
3120000001010002222202100
42102021033100102300
510032333323101034
6200031052020400
714223441020610
oct2221117202260
9500033088670
10156921300144
1160605a8a414
12264b4761700
1311a4a48ba2b
147848aa2a40
154136550099
hex24893d04b0

156921300144 has 480 divisors, whose sum is σ = 540973375488. Its totient is φ = 41513472000.

The previous prime is 156921300079. The next prime is 156921300199. The reversal of 156921300144 is 441003129651.

It is a happy number.

156921300144 is a `hidden beast` number, since 1 + 569 + 21 + 30 + 0 + 1 + 44 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 156921300099 and 156921300108.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67900749 + ... + 67903059.

Almost surely, 2156921300144 is an apocalyptic number.

156921300144 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 156921300144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270486687744).

156921300144 is an abundant number, since it is smaller than the sum of its proper divisors (384052075344).

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

156921300144 is a wasteful number, since it uses less digits than its factorization.

156921300144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2457 (or 2448 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 156921300144 its reverse (441003129651), we get a palindrome (597924429795).

The spelling of 156921300144 in words is "one hundred fifty-six billion, nine hundred twenty-one million, three hundred thousand, one hundred forty-four".