Search a number
-
+
134431414232035 = 52361191271431859
BaseRepresentation
bin11110100100001111000000…
…101100010010001111100011
3122121222111222101200200201011
4132210033000230102033203
5120110011014020411120
61153524534504121351
740213230523164124
oct3644170054221743
9577874871620634
10134431414232035
113991a051794728
12130b1860766257
135a01a9c07671b
14252a72d88404b
151081d09cccc5a
hex7a43c0b123e3

134431414232035 has 128 divisors (see below), whose sum is σ = 173223381565440. Its totient is φ = 99932564160000.

The previous prime is 134431414232009. The next prime is 134431414232041. The reversal of 134431414232035 is 530232414134431.

It is not a de Polignac number, because 134431414232035 - 215 = 134431414199267 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 156497571436 + ... + 156497572294.

It is an arithmetic number, because the mean of its divisors is an integer number (1353307668480).

Almost surely, 2134431414232035 is an apocalyptic number.

134431414232035 is a deficient number, since it is larger than the sum of its proper divisors (38791967333405).

134431414232035 is a wasteful number, since it uses less digits than its factorization.

134431414232035 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1841.

The product of its (nonzero) digits is 414720, while the sum is 40.

Adding to 134431414232035 its reverse (530232414134431), we get a palindrome (664663828366466).

The spelling of 134431414232035 in words is "one hundred thirty-four trillion, four hundred thirty-one billion, four hundred fourteen million, two hundred thirty-two thousand, thirty-five".

Divisors: 1 5 23 61 115 191 271 305 431 859 955 1355 1403 2155 4295 4393 6233 7015 9913 11651 16531 19757 21965 26291 31165 49565 51761 52399 58255 82321 82655 98785 116801 131455 164069 232789 258805 261995 267973 370229 380213 411605 584005 604693 820345 1163945 1190503 1205177 1339865 1851145 1893383 1901065 2686423 3023465 3157421 3773587 5021581 5354147 5952515 6025885 7124861 8515267 9466915 10008209 13432115 14200129 15787105 18867935 22308991 22583969 25107905 26770735 35624305 42576335 44462699 50041045 70713739 71000645 72620683 100332059 111544955 112919845 115496363 163871803 222313495 230188807 326602967 353568695 363103415 501660295 513106793 519431287 577481815 819359015 1022642077 1150944035 1360848451 1626415997 1633014835 2307637357 2565533965 2597156435 2712224639 4313538079 5113210385 6120255599 6804242255 8132079985 11538186785 13561123195 19163423269 21567690395 30601277995 31299514373 62381166697 95817116345 99211375817 140765878777 156497571865 311905833485 440758735187 496056879085 703829393885 1168968819409 2203793675935 5844844097045 26886282846407 134431414232035