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155998103040 = 29335131271367
BaseRepresentation
bin1001000101001000110…
…1100010011000000000
3112220122202221201102000
42101102031202120000
510023441003244130
6155355312424000
714161530666063
oct2212215423000
9486582851360
10155998103040
11601819537aa
1226297548000
1311931132960
14779c2288da
1540d0490260
hex2452362600

155998103040 has 640 divisors, whose sum is σ = 601881477120. Its totient is φ = 38069305344.

The previous prime is 155998103033. The next prime is 155998103077. The reversal of 155998103040 is 40301899551.

155998103040 is a `hidden beast` number, since 1 + 5 + 599 + 8 + 10 + 3 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 114116437 + ... + 114117803.

It is an arithmetic number, because the mean of its divisors is an integer number (940439808).

Almost surely, 2155998103040 is an apocalyptic number.

155998103040 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 155998103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300940738560).

155998103040 is an abundant number, since it is smaller than the sum of its proper divisors (445883374080).

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

155998103040 is a wasteful number, since it uses less digits than its factorization.

155998103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 155998103040 in words is "one hundred fifty-five billion, nine hundred ninety-eight million, one hundred three thousand, forty".