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134411244432 = 24337157482051
BaseRepresentation
bin111110100101110001…
…0001101001110010000
3110211221100110200101020
41331023202031032100
54200233234310212
6141425255235440
712465556504203
oct1751342151620
9424840420336
10134411244432
1152004709393
1222072078b80
13c8a0a7393a
1467112ad93a
15376a26dd8c
hex1f4b88d390

134411244432 has 80 divisors (see below), whose sum is σ = 358885785792. Its totient is φ = 43315084800.

The previous prime is 134411244431. The next prime is 134411244479. The reversal of 134411244432 is 234442114431.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 134411244393 and 134411244402.

It is not an unprimeable number, because it can be changed into a prime (134411244431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37807 + ... + 519857.

Almost surely, 2134411244432 is an apocalyptic number.

134411244432 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 134411244432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179442892896).

134411244432 is an abundant number, since it is smaller than the sum of its proper divisors (224474541360).

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

134411244432 is a wasteful number, since it uses less digits than its factorization.

134411244432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482256 (or 482250 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

Adding to 134411244432 its reverse (234442114431), we get a palindrome (368853358863).

The spelling of 134411244432 in words is "one hundred thirty-four billion, four hundred eleven million, two hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 157 222 296 314 444 471 592 628 888 942 1256 1776 1884 2512 3768 5809 7536 11618 17427 23236 34854 46472 69708 92944 139416 278832 482051 964102 1446153 1928204 2892306 3856408 5784612 7712816 11569224 17835887 23138448 35671774 53507661 71343548 75682007 107015322 142687096 151364014 214030644 227046021 285374192 302728028 428061288 454092042 605456056 856122576 908184084 1210912112 1816368168 2800234259 3632736336 5600468518 8400702777 11200937036 16801405554 22401874072 33602811108 44803748144 67205622216 134411244432