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413044155424212 = 2231326122914580191
BaseRepresentation
bin101110111101010010101011…
…0001010010001110111010100
32000011110122011100222121022020
41131322211112022101313110
5413114303412242033322
64022245510535333140
7153000312135422154
oct13572452612216724
92004418140877266
10413044155424212
1110a677051775114
123a3aa883b211b0
1314961b87157c00
1473dd62da8c764
1532b435dec405c
hex177a956291dd4

413044155424212 has 144 divisors (see below), whose sum is σ = 1065348968302080. Its totient is φ = 124461167500800.

The previous prime is 413044155424211. The next prime is 413044155424217. The reversal of 413044155424212 is 212424551440314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413044155424211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21039037 + ... + 35619227.

It is an arithmetic number, because the mean of its divisors is an integer number (7398256724320).

Almost surely, 2413044155424212 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 413044155424212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532674484151040).

413044155424212 is an abundant number, since it is smaller than the sum of its proper divisors (652304812877868).

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

413044155424212 is a wasteful number, since it uses less digits than its factorization.

413044155424212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14580514 (or 14580499 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 42.

The spelling of 413044155424212 in words is "four hundred thirteen trillion, forty-four billion, one hundred fifty-five million, four hundred twenty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 61 78 122 156 169 183 229 244 338 366 458 507 676 687 732 793 916 1014 1374 1586 2028 2379 2748 2977 3172 4758 5954 8931 9516 10309 11908 13969 17862 20618 27938 30927 35724 38701 41236 41907 55876 61854 77402 83814 116103 123708 154804 167628 181597 232206 363194 464412 544791 726388 1089582 2179164 2360761 4721522 7082283 9443044 14164566 14580191 28329132 29160382 43740573 58320764 87481146 174962292 189542483 379084966 568627449 758169932 889391651 1137254898 1778783302 2274509796 2464052279 2668174953 3338863739 3557566604 4928104558 5336349906 6677727478 7392156837 9856209116 10016591217 10672699812 11562091463 13355454956 14784313674 20033182434 23124182926 29568627348 34686274389 40066364868 43405228607 46248365852 69372548778 86810457214 130215685821 138745097556 150307189019 173620914428 203670688079 260431371642 300614378038 407341376158 450921567057 520862743284 564267971891 601228756076 611012064237 814682752316 901843134114 1128535943782 1222024128474 1692803915673 1803686268228 2257071887564 2444048256948 2647718945027 3385607831346 5295437890054 6771215662692 7943156835081 10590875780108 15886313670162 31772627340324 34420346285351 68840692570702 103261038856053 137681385141404 206522077712106 413044155424212