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11414232133404 = 22317613792420179
BaseRepresentation
bin1010011000011001010101…
…0000000110111100011100
31111102012010110111100001020
42212012111100012330130
52444002321411232104
640135343103444140
72255436212212542
oct246062520067434
944365113440036
1011414232133404
11370082651a831
1213441a32b6650
1364a4854995b9
142b6647999d92
1514bd9c78b2d9
hexa6195406f1c

11414232133404 has 96 divisors (see below), whose sum is σ = 28737798163200. Its totient is φ = 3512936770560.

The previous prime is 11414232133351. The next prime is 11414232133427. The reversal of 11414232133404 is 40433123241411.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3506187 + ... + 5926365.

It is an arithmetic number, because the mean of its divisors is an integer number (299352064200).

Almost surely, 211414232133404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11414232133404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14368899081600).

11414232133404 is an abundant number, since it is smaller than the sum of its proper divisors (17323566029796).

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

11414232133404 is a wasteful number, since it uses less digits than its factorization.

11414232133404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420643 (or 2420641 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 11414232133404 its reverse (40433123241411), we get a palindrome (51847355374815).

The spelling of 11414232133404 in words is "eleven trillion, four hundred fourteen billion, two hundred thirty-two million, one hundred thirty-three thousand, four hundred four".

Divisors: 1 2 3 4 6 12 17 34 51 61 68 102 122 183 204 244 366 379 732 758 1037 1137 1516 2074 2274 3111 4148 4548 6222 6443 12444 12886 19329 23119 25772 38658 46238 69357 77316 92476 138714 277428 393023 786046 1179069 1572092 2358138 2420179 4716276 4840358 7260537 9680716 14521074 29042148 41143043 82286086 123429129 147630919 164572172 246858258 295261838 442892757 493716516 590523676 885785514 917247841 1771571028 1834495682 2509725623 2751743523 3668991364 5019451246 5503487046 7529176869 10038902492 11006974092 15058353738 15593213297 30116707476 31186426594 46779639891 55952118301 62372853188 93559279782 111904236602 167856354903 187118559564 223808473204 335712709806 671425419612 951186011117 1902372022234 2853558033351 3804744044468 5707116066702 11414232133404