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413112551415340 = 225710151015727481
BaseRepresentation
bin101110111101110010100001…
…0111000010001111000101100
32000011201011201000002221122211
41131323211002320101320230
5413121414001130242330
64022341141451020204
7153005253064644130
oct13573450270217054
92004634630087584
10413112551415340
1110a6a305a4a7617
123a3bbb9173a664
1314968467194b8a
147402a7b6493c0
1532b6013892d2a
hex177b942e11e2c

413112551415340 has 96 divisors (see below), whose sum is σ = 1001483126356608. Its totient is φ = 140208710400000.

The previous prime is 413112551415329. The next prime is 413112551415341. The reversal of 413112551415340 is 43514155211314.

It is a junction number, because it is equal to n+sod(n) for n = 413112551415293 and 413112551415302.

It is not an unprimeable number, because it can be changed into a prime (413112551415341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69264400 + ... + 74991880.

It is an arithmetic number, because the mean of its divisors is an integer number (10432115899548).

Almost surely, 2413112551415340 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 413112551415340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500741563178304).

413112551415340 is an abundant number, since it is smaller than the sum of its proper divisors (588370574941268).

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

413112551415340 is a wasteful number, since it uses less digits than its factorization.

413112551415340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5732699 (or 5732697 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 40.

The spelling of 413112551415340 in words is "four hundred thirteen trillion, one hundred twelve billion, five hundred fifty-one million, four hundred fifteen thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 101 140 202 404 505 707 1010 1414 2020 2828 3535 5101 7070 10202 14140 20404 25505 35707 51010 71414 102020 142828 178535 357070 515201 714140 1030402 2060804 2576005 3606407 5152010 5727481 7212814 10304020 11454962 14425628 18032035 22909924 28637405 36064070 40092367 57274810 72128140 80184734 114549620 160369468 200461835 400923670 578475581 801847340 1156951162 2313902324 2892377905 4049329067 5784755810 8098658134 11569511620 16197316268 20246645335 29215880581 40493290670 58431761162 80986581340 116863522324 146079402905 204511164067 292158805810 409022328134 584317611620 818044656268 1022555820335 2045111640670 2950803938681 4090223281340 5901607877362 11803215754724 14754019693405 20655627570767 29508039386810 41311255141534 59016078773620 82622510283068 103278137853835 206556275707670 413112551415340