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234143410104 = 2336359111833
BaseRepresentation
bin1101101000010000001…
…0001110011110111000
3211101100212010122000000
43122010002032132320
512314011203110404
6255321453513000
722626202101462
oct3320402163670
9741325118000
10234143410104
119033293a5aa
12394661a2760
1319105c38216
14b492931132
156155c00339
hex368408e7b8

234143410104 has 112 divisors (see below), whose sum is σ = 660066634800. Its totient is φ = 77829704064.

The previous prime is 234143410043. The next prime is 234143410117. The reversal of 234143410104 is 401014341432.

234143410104 is a `hidden beast` number, since 2 + 3 + 4 + 143 + 410 + 104 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2037772 + ... + 2149604.

Almost surely, 2234143410104 is an apocalyptic number.

234143410104 is a gapful number since it is divisible by the number (24) 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 234143410104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330033317400).

234143410104 is an abundant number, since it is smaller than the sum of its proper divisors (425923224696).

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

234143410104 is a wasteful number, since it uses less digits than its factorization.

234143410104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112216 (or 112197 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 234143410104 its reverse (401014341432), we get a palindrome (635157751536).

The spelling of 234143410104 in words is "two hundred thirty-four billion, one hundred forty-three million, four hundred ten thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 359 486 648 718 729 972 1077 1436 1458 1944 2154 2872 2916 3231 4308 5832 6462 8616 9693 12924 19386 25848 29079 38772 58158 77544 87237 111833 116316 174474 223666 232632 261711 335499 348948 447332 523422 670998 697896 894664 1006497 1046844 1341996 2012994 2093688 2683992 3019491 4025988 6038982 8051976 9058473 12077964 18116946 24155928 27175419 36233892 40148047 54350838 72467784 80296094 81526257 108701676 120444141 160592188 163052514 217403352 240888282 321184376 326105028 361332423 481776564 652210056 722664846 963553128 1083997269 1445329692 2167994538 2890659384 3251991807 4335989076 6503983614 8671978152 9755975421 13007967228 19511950842 26015934456 29267926263 39023901684 58535852526 78047803368 117071705052 234143410104