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234332043440440 = 235112776319182827
BaseRepresentation
bin110101010001111110101110…
…001101010111000100111000
31010201200220222000022222102011
4311101332232031113010320
5221203244011110043230
62150214353222015304
7100233634325500621
oct6521765615270470
91121626860288364
10234332043440440
1168735730553350
1222347153277534
13a09a555b643aa
1441c1a35022a48
151c157aa6eee2a
hexd51fae357138

234332043440440 has 64 divisors (see below), whose sum is σ = 575199399519360. Its totient is φ = 85208578465920.

The previous prime is 234332043440419. The next prime is 234332043440477. The reversal of 234332043440440 is 44044340233432.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 234332043440393 and 234332043440402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2624307 + ... + 21807133.

It is an arithmetic number, because the mean of its divisors is an integer number (8987490617490).

Almost surely, 2234332043440440 is an apocalyptic number.

234332043440440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234332043440440 is an abundant number, since it is smaller than the sum of its proper divisors (340867356078920).

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

234332043440440 is a wasteful number, since it uses less digits than its factorization.

234332043440440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19210612 (or 19210608 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 40.

Adding to 234332043440440 its reverse (44044340233432), we get a palindrome (278376383673872).

The spelling of 234332043440440 in words is "two hundred thirty-four trillion, three hundred thirty-two billion, forty-three million, four hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 27763 55526 111052 138815 222104 277630 305393 555260 610786 1110520 1221572 1526965 2443144 3053930 6107860 12215720 19182827 38365654 76731308 95914135 153462616 191828270 211011097 383656540 422022194 767313080 844044388 1055055485 1688088776 2110110970 4220221940 8440443880 532572826001 1065145652002 2130291304004 2662864130005 4260582608008 5325728260010 5858301086011 10651456520020 11716602172022 21302913040040 23433204344044 29291505430055 46866408688088 58583010860110 117166021720220 234332043440440