Search a number
-
+
155355414800 = 2452388388537
BaseRepresentation
bin1001000010101111100…
…1111000000100010000
3112211222222121202212212
42100223321320010100
510021131441233200
6155211433411252
714136565144325
oct2205371700420
9484888552785
10155355414800
115a9820995a3
1226138269b28
131185ac3ba61
14773ab2cb4c
154093d3e035
hex242be78110

155355414800 has 30 divisors (see below), whose sum is σ = 373241385018. Its totient is φ = 62142165760.

The previous prime is 155355414713. The next prime is 155355414817. The reversal of 155355414800 is 8414553551.

It can be written as a sum of positive squares in 3 ways, for example, as 2768896 + 155352645904 = 1664^2 + 394148^2 .

It is a super-3 number, since 3×1553554148003 (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 194193869 + ... + 194194668.

Almost surely, 2155355414800 is an apocalyptic number.

155355414800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

155355414800 is an abundant number, since it is smaller than the sum of its proper divisors (217885970218).

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

155355414800 is a wasteful number, since it uses less digits than its factorization.

155355414800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388388555 (or 388388544 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 41.

The spelling of 155355414800 in words is "one hundred fifty-five billion, three hundred fifty-five million, four hundred fourteen thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 388388537 776777074 1553554148 1941942685 3107108296 3883885370 6214216592 7767770740 9709713425 15535541480 19419426850 31071082960 38838853700 77677707400 155355414800