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234042400014420 = 223537261761402751
BaseRepresentation
bin110101001101110000111110…
…000111011000000001010100
31010200200020100021010102100010
4311031300332013120001110
5221134022313400430140
62145433332210120220
7100204001565134424
oct6515607607300124
91120606307112303
10234042400014420
11686339083763a8
12222bab9a280070
13a07914686b48a
1441b19d9542484
151c0cea7385880
hexd4dc3e1d8054

234042400014420 has 96 divisors (see below), whose sum is σ = 673034279049216. Its totient is φ = 60724131840000.

The previous prime is 234042400014377. The next prime is 234042400014431. The reversal of 234042400014420 is 24410004240432.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 580908045 + ... + 581310795.

It is an arithmetic number, because the mean of its divisors is an integer number (7010773740096).

Almost surely, 2234042400014420 is an apocalyptic number.

234042400014420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234042400014420 is an abundant number, since it is smaller than the sum of its proper divisors (438991879034796).

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

234042400014420 is a wasteful number, since it uses less digits than its factorization.

234042400014420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664561 (or 664559 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 234042400014420 its reverse (24410004240432), we get a palindrome (258452404254852).

The spelling of 234042400014420 in words is "two hundred thirty-four trillion, forty-two billion, four hundred million, fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 261761 402751 523522 785283 805502 1047044 1208253 1308805 1570566 1611004 2013755 2416506 2617610 3141132 3926415 4027510 4833012 5235220 6041265 7852830 8055020 9685157 12082530 14901787 15705660 19370314 24165060 29055471 29803574 38740628 44705361 48425785 58110942 59607148 74508935 89410722 96851570 116221884 145277355 149017870 178821444 193703140 223526805 290554710 298035740 447053610 581109420 894107220 105424504511 210849009022 316273513533 421698018044 527122522555 632547027066 1054245045110 1265094054132 1581367567665 2108490090220 3162735135330 3900706666907 6325470270660 7801413333814 11702120000721 15602826667628 19503533334535 23404240001442 39007066669070 46808480002884 58510600003605 78014133338140 117021200007210 234042400014420