Search a number
-
+
130404332434035 = 351117292695959487
BaseRepresentation
bin11101101001101000011111…
…111010010111001001110011
3122002201112101010211002222110
4131221220133322113021303
5114043021033100342120
61141202531233140403
736316254631532502
oct3551503772271163
9562645333732873
10130404332434035
1138607192030420
12127612970ba703
13579c0ca65a85a
14242b8638cc839
1510121b14d12e0
hex769a1fe97273

130404332434035 has 128 divisors (see below), whose sum is σ = 250241284915200. Its totient is φ = 57241578168320.

The previous prime is 130404332434007. The next prime is 130404332434063. The reversal of 130404332434035 is 530434233404031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (130404332434007) and next prime (130404332434063).

It is not a de Polignac number, because 130404332434035 - 26 = 130404332433971 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 130404332433984 and 130404332434002.

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, 18902062 + ... + 24861548.

It is an arithmetic number, because the mean of its divisors is an integer number (1955010038400).

Almost surely, 2130404332434035 is an apocalyptic number.

130404332434035 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

130404332434035 is a deficient number, since it is larger than the sum of its proper divisors (119836952481165).

130404332434035 is a wasteful number, since it uses less digits than its factorization.

130404332434035 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5959821.

The product of its (nonzero) digits is 622080, while the sum is 39.

Adding to 130404332434035 its reverse (530434233404031), we get a palindrome (660838565838066).

The spelling of 130404332434035 in words is "one hundred thirty trillion, four hundred four billion, three hundred thirty-two million, four hundred thirty-four thousand, thirty-five".

Divisors: 1 3 5 11 15 17 29 33 51 55 85 87 145 165 187 255 269 319 435 493 561 807 935 957 1345 1479 1595 2465 2805 2959 4035 4573 4785 5423 7395 7801 8877 13719 14795 16269 22865 23403 27115 39005 44385 50303 68595 81345 85811 117015 132617 150909 251515 257433 397851 429055 663085 754545 1287165 1458787 1989255 4376361 5959487 7293935 17878461 21881805 29797435 65554357 89392305 101311279 172825123 196663071 303933837 327771785 506556395 518475369 864125615 983315355 1114424069 1519669185 1603102003 1901076353 2592376845 2938027091 3343272207 4809306009 5572120345 5703229059 8015510015 8814081273 9505381765 14690135455 16716361035 17634122033 24046530045 27252734051 28516145295 32318298001 44070406365 46489958087 52902366099 81758202153 88170610165 96954894003 136263670255 139469874261 161591490005 232449790435 264511830495 299780074561 408791010765 484774470015 511389538957 697349371305 790329287479 899340223683 1498900372805 1534168616871 2370987862437 2556947694785 3951646437395 4496701118415 7670843084355 8693622162269 11854939312185 26080866486807 43468110811345 130404332434035