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401030014637 = 72172412817109
BaseRepresentation
bin1011101010111110100…
…00000110011010101101
31102100010110201112110002
411311133100012122231
523032302140432022
6504121452554045
740654616611100
oct5653720063255
91370113645402
10401030014637
11145091a9666a
1265880182925
132ba80b57065
14155a4cc4737
15a672058092
hex5d5f4066ad

401030014637 has 48 divisors (see below), whose sum is σ = 497830425840. Its totient is φ = 320985907200.

The previous prime is 401030014607. The next prime is 401030014667. The reversal of 401030014637 is 736410030104.

It is an interprime number because it is at equal distance from previous prime (401030014607) and next prime (401030014667).

It can be written as a sum of positive squares in 8 ways, for example, as 11617821796 + 389412192841 = 107786^2 + 624029^2 .

It is not a de Polignac number, because 401030014637 - 28 = 401030014381 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401030014607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56408039 + ... + 56415147.

It is an arithmetic number, because the mean of its divisors is an integer number (10371467205).

Almost surely, 2401030014637 is an apocalyptic number.

It is an amenable number.

401030014637 is a deficient number, since it is larger than the sum of its proper divisors (96800411203).

401030014637 is a wasteful number, since it uses less digits than its factorization.

401030014637 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7662 (or 7655 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The spelling of 401030014637 in words is "four hundred one billion, thirty million, fourteen thousand, six hundred thirty-seven".

Divisors: 1 7 17 49 119 241 281 833 1687 1967 4097 4777 7109 11809 13769 28679 33439 49763 67721 120853 200753 234073 348341 474047 845971 1151257 1713269 1997629 3318329 5921797 8058799 11992883 13983403 29125573 33959693 56411593 83950181 97883821 203879011 237717851 481428589 1427153077 1664024957 3370000123 8184286013 23590000861 57290002091 401030014637