Search a number
-
+
151454153214 = 2337413591523
BaseRepresentation
bin1000110100001101011…
…1101111100111111110
3112110221002201011002000
42031003113233213332
54440134230400324
6153324352043130
713641114030000
oct2150327574776
9473832634060
10151454153214
115925aa14a71
12254298334a6
131138890b850
14748a95c370
153e165be9c9
hex23435ef9fe

151454153214 has 320 divisors, whose sum is σ = 430287379200. Its totient is φ = 39241153728.

The previous prime is 151454153197. The next prime is 151454153243. The reversal of 151454153214 is 412351454151.

151454153214 is a `hidden beast` number, since 1 + 51 + 4 + 541 + 53 + 2 + 14 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 99443857 + ... + 99445379.

It is an arithmetic number, because the mean of its divisors is an integer number (1344648060).

Almost surely, 2151454153214 is an apocalyptic number.

151454153214 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 151454153214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215143689600).

151454153214 is an abundant number, since it is smaller than the sum of its proper divisors (278833225986).

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

151454153214 is a wasteful number, since it uses less digits than its factorization.

151454153214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 1607 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The spelling of 151454153214 in words is "one hundred fifty-one billion, four hundred fifty-four million, one hundred fifty-three thousand, two hundred fourteen".