Search a number
-
+
151154224416 = 2534134795443
BaseRepresentation
bin1000110011000101111…
…1100110110100100000
3112110011012100012010000
42030301133212310200
54434030440140131
6153234515340000
713630512465006
oct2146137466440
9473135305100
10151154224416
115911668a028
12253652b1600
131133b7372a0
14745cba6a76
153dea0c6ce6
hex23317e6d20

151154224416 has 240 divisors, whose sum is σ = 488926779264. Its totient is φ = 45518962176.

The previous prime is 151154224409. The next prime is 151154224457. The reversal of 151154224416 is 614422451151.

151154224416 is a `hidden beast` number, since 1 + 5 + 1 + 15 + 4 + 224 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1535991 + ... + 1631433.

Almost surely, 2151154224416 is an apocalyptic number.

151154224416 is a gapful number since it is divisible by the number (16) 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 151154224416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244463389632).

151154224416 is an abundant number, since it is smaller than the sum of its proper divisors (337772554848).

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

151154224416 is a wasteful number, since it uses less digits than its factorization.

151154224416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95525 (or 95508 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

Adding to 151154224416 its reverse (614422451151), we get a palindrome (765576675567).

The spelling of 151154224416 in words is "one hundred fifty-one billion, one hundred fifty-four million, two hundred twenty-four thousand, four hundred sixteen".