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401414075757 = 3314867187991
BaseRepresentation
bin1011101011101100010…
…01001011010101101101
31102101010020101212021000
411311312021023111231
523034044000411012
6504223532430513
741000262226602
oct5656611132555
91371106355230
10401414075757
11145269865452
1265968918439
132bb125a7866
14155ddcda6a9
15a695b1dddc
hex5d7624b56d

401414075757 has 8 divisors (see below), whose sum is σ = 594687519680. Its totient is φ = 267609383820.

The previous prime is 401414075653. The next prime is 401414075773. The reversal of 401414075757 is 757570414104.

401414075757 is a `hidden beast` number, since 4 + 0 + 141 + 407 + 57 + 57 = 666.

It is not a de Polignac number, because 401414075757 - 214 = 401414059373 is a prime.

It is a super-2 number, since 2×4014140757572 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401415075757) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7433593969 + ... + 7433594022.

It is an arithmetic number, because the mean of its divisors is an integer number (74335939960).

Almost surely, 2401414075757 is an apocalyptic number.

It is an amenable number.

401414075757 is a deficient number, since it is larger than the sum of its proper divisors (193273443923).

401414075757 is a wasteful number, since it uses less digits than its factorization.

401414075757 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14867188000 (or 14867187994 counting only the distinct ones).

The product of its (nonzero) digits is 548800, while the sum is 45.

The spelling of 401414075757 in words is "four hundred one billion, four hundred fourteen million, seventy-five thousand, seven hundred fifty-seven".

Divisors: 1 3 9 27 14867187991 44601563973 133804691919 401414075757