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413930103876 = 223431211532
BaseRepresentation
bin1100000011000000010…
…10000010010001000100
31110120102111111222010000
412001200022002101010
523240212101311001
6514053514401300
741622400554522
oct6014012022104
91416374458100
10413930103876
1114a601830643
1268280430230
1330058616a63
141606a283312
15ab79821a86
hex6060282444

413930103876 has 135 divisors (see below), whose sum is σ = 1119097952973. Its totient is φ = 133410032640.

The previous prime is 413930103871. The next prime is 413930103877. The reversal of 413930103876 is 678301039314.

The square root of 413930103876 is 643374.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 327126802500 + 86803301376 = 571950^2 + 294624^2 .

It is not an unprimeable number, because it can be changed into a prime (413930103871) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 359002116 + ... + 359003268.

Almost surely, 2413930103876 is an apocalyptic number.

413930103876 is the 643374-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413930103876

413930103876 is an abundant number, since it is smaller than the sum of its proper divisors (705167849097).

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

413930103876 is an equidigital number, since it uses as much as digits as its factorization.

413930103876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2384 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 413930103876 in words is "four hundred thirteen billion, nine hundred thirty million, one hundred three thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 279 324 372 558 837 961 1116 1153 1674 1922 2306 2511 2883 3348 3459 3844 4612 5022 5766 6918 8649 10044 10377 11532 13836 17298 20754 25947 31131 34596 35743 41508 51894 62262 71486 77841 93393 103788 107229 124524 142972 155682 186786 214458 311364 321687 373572 428916 643374 965061 1108033 1286748 1329409 1930122 2216066 2658818 2895183 3324099 3860244 3988227 4432132 5317636 5790366 6648198 7976454 9972297 11580732 11964681 13296396 15952908 19944594 23929362 29916891 35894043 39889188 41211679 47858724 59833782 71788086 82423358 89750673 107682129 119667564 123635037 143576172 164846716 179501346 215364258 247270074 359002692 370905111 430728516 494540148 741810222 1112715333 1277562049 1483620444 2225430666 2555124098 3338145999 3832686147 4450861332 5110248196 6676291998 7665372294 11498058441 13352583996 15330744588 22996116882 34494175323 45992233764 68988350646 103482525969 137976701292 206965051938 413930103876