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11042113341294 = 2327189977461297
BaseRepresentation
bin1010000010101111000100…
…1111100100011101101110
31110002121121212100002001200
42200223301033210131232
52421403222003410134
635252402110350330
72216523601525110
oct240536117443556
943077555302050
1011042113341294
113577a30128602
1212a40514bb3a6
13621361285b09
142a26266a33b0
1514236d991499
hexa0af13e476e

11042113341294 has 48 divisors (see below), whose sum is σ = 27342579090528. Its totient is φ = 3154866080256.

The previous prime is 11042113341277. The next prime is 11042113341323. The reversal of 11042113341294 is 49214331124011.

11042113341294 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 21 + 1 + 3 + 341 + 294 = 666.

It is a super-4 number, since 4×110421133412944 (a number of 53 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 23706454 + ... + 24167750.

It is an arithmetic number, because the mean of its divisors is an integer number (569637064386).

Almost surely, 211042113341294 is an apocalyptic number.

11042113341294 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

11042113341294 is an abundant number, since it is smaller than the sum of its proper divisors (16300465749234).

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

11042113341294 is a wasteful number, since it uses less digits than its factorization.

11042113341294 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651289 (or 651286 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 11042113341294 in words is "eleven trillion, forty-two billion, one hundred thirteen million, three hundred forty-one thousand, two hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 189977 379954 461297 569931 922594 1139862 1329839 1383891 1709793 2659678 2767782 3229079 3419586 3989517 4151673 6458158 7979034 8303346 9687237 11968551 19374474 23937102 29061711 58123422 87635820169 175271640338 262907460507 525814921014 613450741183 788722381521 1226901482366 1577444763042 1840352223549 3680704447098 5521056670647 11042113341294