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414120299808 = 2534313753123
BaseRepresentation
bin1100000011010110111…
…11100100110100100000
31110120220202101220212210
412001223133210310200
523241104244043213
6514124431122120
741630200316565
oct6015337446440
91416822356783
10414120299808
1114a69a127666
1268314073340
1330088b4a727
141608763286c
15ab8b3910c3
hex606b7e4d20

414120299808 has 24 divisors (see below), whose sum is σ = 1087065787248. Its totient is φ = 138040099904.

The previous prime is 414120299771. The next prime is 414120299893. The reversal of 414120299808 is 808992021414.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2156876466 + ... + 2156876657.

It is an arithmetic number, because the mean of its divisors is an integer number (45294407802).

Almost surely, 2414120299808 is an apocalyptic number.

414120299808 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

414120299808 is an abundant number, since it is smaller than the sum of its proper divisors (672945487440).

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

414120299808 is a wasteful number, since it uses less digits than its factorization.

414120299808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4313753136 (or 4313753128 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The spelling of 414120299808 in words is "four hundred fourteen billion, one hundred twenty million, two hundred ninety-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 4313753123 8627506246 12941259369 17255012492 25882518738 34510024984 51765037476 69020049968 103530074952 138040099936 207060149904 414120299808