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234100020314064 = 24368571488747777
BaseRepresentation
bin110101001110100110101000…
…100011010111111111010000
31010200212202001220212220220010
4311032212220203113333100
5221140443320200022224
62145520021545114520
7100211111510453262
oct6516465043277720
91120782056786803
10234100020314064
1168656296546353
122230a19b188a40
13a0816ca299638
1441b4703d3bb32
151c0e72ac21e29
hexd4e9a88d7fd0

234100020314064 has 80 divisors (see below), whose sum is σ = 604899871394688. Its totient is φ = 78015086125056.

The previous prime is 234100020314057. The next prime is 234100020314113. The reversal of 234100020314064 is 460413020001432.

It is a super-2 number, since 2×2341000203140642 (a number of 30 digits) contains 22 as substring.

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, 4899823744 + ... + 4899871520.

Almost surely, 2234100020314064 is an apocalyptic number.

234100020314064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

234100020314064 is an abundant number, since it is smaller than the sum of its proper divisors (370799851080624).

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

234100020314064 is a wasteful number, since it uses less digits than its factorization.

234100020314064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69532 (or 69526 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 234100020314064 its reverse (460413020001432), we get a palindrome (694513040315496).

The spelling of 234100020314064 in words is "two hundred thirty-four trillion, one hundred billion, twenty million, three hundred fourteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 6857 13714 14887 20571 27428 29774 41142 44661 47777 54856 59548 82284 89322 95554 109712 119096 143331 164568 178644 191108 238192 286662 329136 357288 382216 573324 714576 764432 1146648 2293296 102080159 204160318 306240477 327606889 408320636 612480954 655213778 711256199 816641272 982820667 1224961908 1310427556 1422512398 1633282544 1965641334 2133768597 2449923816 2620855112 2845024796 3931282668 4267537194 4899847632 5241710224 5690049592 7862565336 8535074388 11380099184 15725130672 17070148776 34140297552 4877083756543 9754167513086 14631251269629 19508335026172 29262502539258 39016670052344 58525005078516 78033340104688 117050010157032 234100020314064