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406145240379 = 32538059105653
BaseRepresentation
bin1011110100100000010…
…01001000110100111011
31102211022221220221000100
411322100021020310323
523123241140143004
6510325222010443
741225441403504
oct5722011106473
91384287827010
10406145240379
1114727744445a
1266869276a23
132c3b782a758
141592c3bbbab
15a871170739
hex5e90248d3b

406145240379 has 24 divisors (see below), whose sum is σ = 597803010480. Its totient is φ = 265619270592.

The previous prime is 406145240359. The next prime is 406145240411. The reversal of 406145240379 is 973042541604.

406145240379 is a `hidden beast` number, since 4 + 0 + 614 + 5 + 24 + 0 + 3 + 7 + 9 = 666.

It is not a de Polignac number, because 406145240379 - 212 = 406145236283 is a prime.

It is not an unprimeable number, because it can be changed into a prime (406145240359) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3791317 + ... + 3896969.

It is an arithmetic number, because the mean of its divisors is an integer number (24908458770).

Almost surely, 2406145240379 is an apocalyptic number.

406145240379 is a deficient number, since it is larger than the sum of its proper divisors (191657770101).

406145240379 is a wasteful number, since it uses less digits than its factorization.

406145240379 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113771 (or 113768 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 406145240379 in words is "four hundred six billion, one hundred forty-five million, two hundred forty thousand, three hundred seventy-nine".

Divisors: 1 3 9 53 159 477 8059 24177 72531 105653 316959 427127 950877 1281381 3844143 5599609 16798827 50396481 851457527 2554372581 7663117743 45127248931 135381746793 406145240379