Search a number
-
+
234156465204480 = 28345721329179683
BaseRepresentation
bin110101001111011011001100…
…111011100010110100000000
31010201002010202122220110010000
4311033123030323202310000
5221142404420043020410
62150001554535040000
7100215150331223100
oct6517331473426400
91121063678813100
10234156465204480
1168678221185a15
1222319112510000
13a086b24333190
1441b733a5a9200
151c10e312cddc0
hexd4f6ccee2d00

234156465204480 has 4320 divisors, whose sum is σ = 1093478563900800. Its totient is φ = 47364904452096.

The previous prime is 234156465204437. The next prime is 234156465204539. The reversal of 234156465204480 is 84402564651432.

234156465204480 is a `hidden beast` number, since 2 + 3 + 4 + 15 + 64 + 6 + 520 + 4 + 48 + 0 = 666.

234156465204480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 342835234219 + ... + 342835234901.

It is an arithmetic number, because the mean of its divisors is an integer number (253120037940).

Almost surely, 2234156465204480 is an apocalyptic number.

234156465204480 is a gapful number since it is divisible by the number (20) 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 234156465204480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546739281950400).

234156465204480 is an abundant number, since it is smaller than the sum of its proper divisors (859322098696320).

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

234156465204480 is a wasteful number, since it uses less digits than its factorization.

234156465204480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 54.

The spelling of 234156465204480 in words is "two hundred thirty-four trillion, one hundred fifty-six billion, four hundred sixty-five million, two hundred four thousand, four hundred eighty".