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234042311104 = 2672397187987
BaseRepresentation
bin1101100111111000000…
…0100100000111000000
3211101002210220021020121
43121332000210013000
512313304312423404
6255303442550024
722623533551300
oct3317600440700
9741083807217
10234042311104
1190290868408
1239438368314
13190baccb424
14b483335600
15614bdcee54
hex367e0241c0

234042311104 has 84 divisors (see below), whose sum is σ = 541616362536. Its totient is φ = 100050660864.

The previous prime is 234042311099. The next prime is 234042311131. The reversal of 234042311104 is 401113240432.

234042311104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1150999 + ... + 1338985.

Almost surely, 2234042311104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234042311104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270808181268).

234042311104 is an abundant number, since it is smaller than the sum of its proper divisors (307574051432).

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

234042311104 is a wasteful number, since it uses less digits than its factorization.

234042311104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188410 (or 188393 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 234042311104 its reverse (401113240432), we get a palindrome (635155551536).

The spelling of 234042311104 in words is "two hundred thirty-four billion, forty-two million, three hundred eleven thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 397 448 784 794 1568 1588 2779 3136 3176 5558 6352 11116 12704 19453 22232 25408 38906 44464 77812 88928 155624 177856 187987 311248 375974 622496 751948 1244992 1315909 1503896 2631818 3007792 5263636 6015584 9211363 10527272 12031168 18422726 21054544 36845452 42109088 73690904 74630839 84218176 147381808 149261678 294763616 298523356 522415873 589527232 597046712 1044831746 1194093424 2089663492 2388186848 3656911111 4179326984 4776373696 7313822222 8358653968 14627644444 16717307936 29255288888 33434615872 58510577776 117021155552 234042311104