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230440111440 = 2435711233714653
BaseRepresentation
bin1101011010011101001…
…1010000110101010000
3211000210202201120021020
43112213103100311100
512233420132031230
6253510203155440
722435343425410
oct3264723206520
9730722646236
10230440111440
11898024874a0
12387b1b15b80
131896592b036
14b220b72640
155edaa36810
hex35a74d0d50

230440111440 has 640 divisors, whose sum is σ = 954542333952. Its totient is φ = 44560834560.

The previous prime is 230440111439. The next prime is 230440111457. The reversal of 230440111440 is 44111044032.

It is a super-3 number, since 3×2304401114403 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 230440111440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15719154 + ... + 15733806.

Almost surely, 2230440111440 is an apocalyptic number.

230440111440 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 230440111440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477271166976).

230440111440 is an abundant number, since it is smaller than the sum of its proper divisors (724102222512).

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

230440111440 is a wasteful number, since it uses less digits than its factorization.

230440111440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14747 (or 14741 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 230440111440 its reverse (44111044032), we get a palindrome (274551155472).

The spelling of 230440111440 in words is "two hundred thirty billion, four hundred forty million, one hundred eleven thousand, four hundred forty".