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1400371657129 = 23422372
BaseRepresentation
bin10100011000001100101…
…001111011100110101001
311221212121022022221012201
4110120030221323212221
5140420430121012004
62551153304340201
7203113341454354
oct24301451734651
94855538287181
101400371657129
1149a992324845
121a7499774661
13a2092903833
144bac7b1329b
1526660ac56a4
hex1460ca7b9a9

1400371657129 has 15 divisors (see below), whose sum is σ = 1464679438327. Its totient is φ = 1338887146168.

The previous prime is 1400371657121. The next prime is 1400371657159. The reversal of 1400371657129 is 9217561730041.

The square root of 1400371657129 is 1183373.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1113774176025 + 286597481104 = 1055355^2 + 535348^2 .

It is not a de Polignac number, because 1400371657129 - 23 = 1400371657121 is a prime.

It is a super-2 number, since 2×14003716571292 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1400371657121) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 626003199 + ... + 626005435.

Almost surely, 21400371657129 is an apocalyptic number.

1400371657129 is the 1183373-rd square number.

1400371657129 is the 591687-th centered octagonal number.

It is an amenable number.

1400371657129 is a deficient number, since it is larger than the sum of its proper divisors (64307781198).

1400371657129 is an frugal number, since it uses more digits than its factorization.

1400371657129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4566 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 46.

The spelling of 1400371657129 in words is "one trillion, four hundred billion, three hundred seventy-one million, six hundred fifty-seven thousand, one hundred twenty-nine".

Divisors: 1 23 529 2237 12167 51451 279841 1183373 5004169 27217579 115095887 626004317 2647205401 60885724223 1400371657129