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134234112432 = 24375915144843
BaseRepresentation
bin111110100000011111…
…0100000000110110000
3110211111000011102221210
41331000332200012300
54144402413044212
6141355530520120
712461306062320
oct1750076400660
9424430142853
10134234112432
1151a23725502
1222022896040
13c8731652c4
1466d5961280
15375993053c
hex1f40fa01b0

134234112432 has 160 divisors (see below), whose sum is σ = 405705461760. Its totient is φ = 37452038400.

The previous prime is 134234112401. The next prime is 134234112433. The reversal of 134234112432 is 234211432431.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 134234112432.

It is not an unprimeable number, because it can be changed into a prime (134234112433) 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, 2971003 + ... + 3015845.

It is an arithmetic number, because the mean of its divisors is an integer number (2535659136).

Almost surely, 2134234112432 is an apocalyptic number.

134234112432 is a gapful number since it is divisible by the number (12) 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 134234112432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202852730880).

134234112432 is an abundant number, since it is smaller than the sum of its proper divisors (271471349328).

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

134234112432 is a wasteful number, since it uses less digits than its factorization.

134234112432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45071 (or 45065 counting only the distinct ones).

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

Adding to 134234112432 its reverse (234211432431), we get a palindrome (368445544863).

The spelling of 134234112432 in words is "one hundred thirty-four billion, two hundred thirty-four million, one hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 59 84 112 118 151 168 177 236 302 336 354 413 453 472 604 708 826 906 944 1057 1208 1239 1416 1652 1812 2114 2416 2478 2832 3171 3304 3624 4228 4956 6342 6608 7248 8456 8909 9912 12684 16912 17818 19824 25368 26727 35636 44843 50736 53454 62363 71272 89686 106908 124726 134529 142544 179372 187089 213816 249452 269058 313901 358744 374178 427632 498904 538116 627802 717488 748356 941703 997808 1076232 1255604 1496712 1883406 2152464 2511208 2645737 2993424 3766812 5022416 5291474 6771293 7533624 7937211 10582948 13542586 15067248 15874422 18520159 20313879 21165896 27085172 31748844 37040318 40627758 42331792 47399051 54170344 55560477 63497688 74080636 81255516 94798102 108340688 111120954 126995376 142197153 148161272 162511032 189596204 222241908 284394306 296322544 325022064 379192408 399506287 444483816 568788612 758384816 799012574 888967632 1137577224 1198518861 1598025148 2275154448 2397037722 2796544009 3196050296 4794075444 5593088018 6392100592 8389632027 9588150888 11186176036 16779264054 19176301776 22372352072 33558528108 44744704144 67117056216 134234112432