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234573415440 = 243572132516113
BaseRepresentation
bin1101101001110110101…
…0100100010000010000
3211102110211021011102120
43122131222210100100
512320401243243230
6255432254214240
722642643063400
oct3323552442020
9742424234376
10234573415440
1190533639a11
12395661b4380
1319174054050
14b4d3aa6800
15617d83e310
hex369daa4410

234573415440 has 480 divisors, whose sum is σ = 914748702336. Its totient is φ = 49287168000.

The previous prime is 234573415421. The next prime is 234573415463. The reversal of 234573415440 is 44514375432.

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

It is a junction number, because it is equal to n+sod(n) for n = 234573415392 and 234573415401.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38369824 + ... + 38375936.

Almost surely, 2234573415440 is an apocalyptic number.

234573415440 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 234573415440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457374351168).

234573415440 is an abundant number, since it is smaller than the sum of its proper divisors (680175286896).

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

234573415440 is a wasteful number, since it uses less digits than its factorization.

234573415440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6407 (or 6394 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 42.

The spelling of 234573415440 in words is "two hundred thirty-four billion, five hundred seventy-three million, four hundred fifteen thousand, four hundred forty".