Search a number
-
+
155031883314 = 23741121931151
BaseRepresentation
bin1001000001100010011…
…1101100111000110010
3112211011102211200010020
42100120213230320302
510020001130231224
6155115355144310
714125556160000
oct2203047547062
9484142750106
10155031883314
115a826502600
1226067a45096
1311808bc22c9
147709b91a70
154075732c79
hex24189ece32

155031883314 has 480 divisors, whose sum is σ = 434880122880. Its totient is φ = 36673560000.

The previous prime is 155031883277. The next prime is 155031883379. The reversal of 155031883314 is 413388130551.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1026701139 + ... + 1026701289.

It is an arithmetic number, because the mean of its divisors is an integer number (906000256).

Almost surely, 2155031883314 is an apocalyptic number.

155031883314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 155031883314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217440061440).

155031883314 is an abundant number, since it is smaller than the sum of its proper divisors (279848239566).

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

155031883314 is a wasteful number, since it uses less digits than its factorization.

155031883314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 155031883314 in words is "one hundred fifty-five billion, thirty-one million, eight hundred eighty-three thousand, three hundred fourteen".