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413112242211314 = 297101109193427609
BaseRepresentation
bin101110111101110010011000…
…0011100110000100111110010
32000011201010220110021202110212
41131323210300130300213302
5413121412333001230224
64022341051043424122
7153005242321521512
oct13573446034604762
92004633813252425
10413112242211314
1110a6a2a10a06aa8
123a3bbb06085042
13149684180c3909
147402a4c55b842
1532b5ee6666d0e
hex177b9307309f2

413112242211314 has 32 divisors (see below), whose sum is σ = 638055788554800. Its totient is φ = 200545743974400.

The previous prime is 413112242211293. The next prime is 413112242211353.

413112242211314 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 324940461471025 + 88171780740289 = 18026105^2 + 9389983^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94578059 + ... + 98849550.

Almost surely, 2413112242211314 is an apocalyptic number.

413112242211314 is a deficient number, since it is larger than the sum of its proper divisors (224943546343486).

413112242211314 is a wasteful number, since it uses less digits than its factorization.

413112242211314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193427918.

The product of its digits is 9216, while the sum is 32.

The spelling of 413112242211314 in words is "four hundred thirteen trillion, one hundred twelve billion, two hundred forty-two million, two hundred eleven thousand, three hundred fourteen".

Divisors: 1 2 97 101 109 194 202 218 9797 10573 11009 19594 21146 22018 1067873 2135746 193427609 386855218 18762478073 19536188509 21083609381 37524956146 39072377018 42167218762 1895010285373 2045110109957 2129444547481 3790020570746 4090220219914 4258889094962 206556121105657 413112242211314