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134100422424 = 23337173119783
BaseRepresentation
bin111110011100100000…
…0100000111100011000
3110211010200121021202000
41330321000200330120
54144114202004144
6141334353241000
712455063532453
oct1747100407430
9424120537660
10134100422424
11519652131a1
1221ba5b63160
13c8515570a7
1466c1cc049a
15374cd23769
hex1f39020f18

134100422424 has 128 divisors (see below), whose sum is σ = 382925491200. Its totient is φ = 43466492160.

The previous prime is 134100422359. The next prime is 134100422429. The reversal of 134100422424 is 424224001431.

134100422424 is a `hidden beast` number, since 1 + 3 + 410 + 0 + 4 + 2 + 242 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134100422429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1059637 + ... + 1179419.

It is an arithmetic number, because the mean of its divisors is an integer number (2991605400).

Almost surely, 2134100422424 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 134100422424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191462745600).

134100422424 is an abundant number, since it is smaller than the sum of its proper divisors (248825068776).

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

134100422424 is a wasteful number, since it uses less digits than its factorization.

134100422424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119942 (or 119932 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 134100422424 its reverse (424224001431), we get a palindrome (558324423855).

The spelling of 134100422424 in words is "one hundred thirty-four billion, one hundred million, four hundred twenty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 73 108 142 146 213 216 219 284 292 426 438 568 584 639 657 852 876 1278 1314 1704 1752 1917 1971 2556 2628 3834 3942 5112 5183 5256 7668 7884 10366 15336 15549 15768 20732 31098 41464 46647 62196 93294 119783 124392 139941 186588 239566 279882 359349 373176 479132 559764 718698 958264 1078047 1119528 1437396 2156094 2874792 3234141 4312188 6468282 8504593 8624376 8744159 12936564 17009186 17488318 25513779 25873128 26232477 34018372 34976636 51027558 52464954 68036744 69953272 76541337 78697431 102055116 104929908 153082674 157394862 204110232 209859816 229624011 236092293 306165348 314789724 459248022 472184586 612330696 620835289 629579448 918496044 944369172 1241670578 1836992088 1862505867 1888738344 2483341156 3725011734 4966682312 5587517601 7450023468 11175035202 14900046936 16762552803 22350070404 33525105606 44700140808 67050211212 134100422424