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134222441044131 = 3311736190786451
BaseRepresentation
bin11110100001001100011000…
…111010110101100010100011
3122121020112120200202211111000
4132201030120322311202203
5120043100024401403011
61153244534351323043
740162152133326336
oct3641143072654243
9577215520684430
10134222441044131
1139849465885660
121307925bb20483
1359b8177a0420b
142520587b6a61d
15107b678bc6356
hex7a1318eb58a3

134222441044131 has 32 divisors (see below), whose sum is σ = 219896734775040. Its totient is φ = 80232592392000.

The previous prime is 134222441044067. The next prime is 134222441044163. The reversal of 134222441044131 is 131440144222431.

134222441044131 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 224 + 4 + 10 + 4 + 413 + 1 = 666.

It is not a de Polignac number, because 134222441044131 - 26 = 134222441044067 is a prime.

It is a super-2 number, since 2×1342224410441312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (134222441044171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3095371545 + ... + 3095414906.

It is an arithmetic number, because the mean of its divisors is an integer number (6871772961720).

Almost surely, 2134222441044131 is an apocalyptic number.

134222441044131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

134222441044131 is a deficient number, since it is larger than the sum of its proper divisors (85674293730909).

134222441044131 is a wasteful number, since it uses less digits than its factorization.

134222441044131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6190786544 (or 6190786538 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 134222441044131 its reverse (131440144222431), we get a palindrome (265662585266562).

The spelling of 134222441044131 in words is "one hundred thirty-four trillion, two hundred twenty-two billion, four hundred forty-one million, forty-four thousand, one hundred thirty-one".

Divisors: 1 3 9 11 27 33 73 99 219 297 657 803 1971 2409 7227 21681 6190786451 18572359353 55717078059 68098650961 167151234177 204295952883 451927410923 612887858649 1355782232769 1838663575947 4067346698307 4971201520153 12202040094921 14913604560459 44740813681377 134222441044131