Search a number
-
+
151480424448 = 2113229535347
BaseRepresentation
bin1000110100010011101…
…1111101100000000000
3112110222221010212102200
42031010323331200000
54440212442040243
6153331131113200
713641553235343
oct2150473754000
9473887125380
10151480424448
1159273828a31
12254365a2800
13113911a9562
14749023a45a
153e18a5dad3
hex2344efd800

151480424448 has 288 divisors, whose sum is σ = 461215263600. Its totient is φ = 47823519744.

The previous prime is 151480424443. The next prime is 151480424471. The reversal of 151480424448 is 844424084151.

It is a happy number.

151480424448 is a `hidden beast` number, since 1 + 51 + 480 + 42 + 44 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1514804244482 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151480424443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28327311 + ... + 28332657.

Almost surely, 2151480424448 is an apocalyptic number.

151480424448 is a gapful number since it is divisible by the number (18) 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 151480424448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230607631800).

151480424448 is an abundant number, since it is smaller than the sum of its proper divisors (309734839152).

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

151480424448 is a wasteful number, since it uses less digits than its factorization.

151480424448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5457 (or 5434 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 45.

The spelling of 151480424448 in words is "one hundred fifty-one billion, four hundred eighty million, four hundred twenty-four thousand, four hundred forty-eight".