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401350053 = 31319229983
BaseRepresentation
bin10111111011000…
…001110110100101
31000222012200202210
4113323001312211
51310221200203
6103454154033
712642263526
oct2773016645
91028180683
10401350053
11196608265
12b24b2919
13651c4c50
143b43684d
152537d803
hex17ec1da5

401350053 has 48 divisors (see below), whose sum is σ = 629838720. Its totient is φ = 225687168.

The previous prime is 401350021. The next prime is 401350067. The reversal of 401350053 is 350053104.

It is not a de Polignac number, because 401350053 - 25 = 401350021 is a prime.

It is a super-2 number, since 2×4013500532 = 322163730086205618, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401350553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 407800 + ... + 408782.

It is an arithmetic number, because the mean of its divisors is an integer number (13121640).

Almost surely, 2401350053 is an apocalyptic number.

It is an amenable number.

401350053 is a deficient number, since it is larger than the sum of its proper divisors (228488667).

401350053 is a wasteful number, since it uses less digits than its factorization.

401350053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 401350053 is about 20033.7228941602. The cubic root of 401350053 is about 737.6343085086.

The spelling of 401350053 in words is "four hundred one million, three hundred fifty thousand, fifty-three".

Divisors: 1 3 13 19 29 39 57 87 247 361 377 551 741 983 1083 1131 1653 2949 4693 7163 10469 12779 14079 18677 21489 28507 31407 38337 56031 85521 136097 242801 354863 370591 408291 541633 728403 1064589 1111773 1624899 4613219 7041229 10291027 13839657 21123687 30873081 133783351 401350053