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1400433431130 = 232529536564533
BaseRepresentation
bin10100011000010000010…
…101100101001001011010
311221212202121120101012200
4110120100111211021122
5140421041424244010
62551203352351030
7203115021520446
oct24302025451132
94855677511180
101400433431130
1149aa14187538
121a74b63a5476
13a20a26520b6
144bad1dd3826
1526666228cc0
hex1461056525a

1400433431130 has 48 divisors (see below), whose sum is σ = 3766683028680. Its totient is φ = 360571365504.

The previous prime is 1400433431093. The next prime is 1400433431149. The reversal of 1400433431130 is 311343340041.

1400433431130 is a `hidden beast` number, since 14 + 0 + 0 + 4 + 334 + 311 + 3 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1028993158449 + 371440272681 = 1014393^2 + 609459^2 .

It is a super-2 number, since 2×14004334311302 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1400433431094 and 1400433431103.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268279657 + ... + 268284876.

Almost surely, 21400433431130 is an apocalyptic number.

1400433431130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1400433431130 is an abundant number, since it is smaller than the sum of its proper divisors (2366249597550).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1400433431130 is a wasteful number, since it uses less digits than its factorization.

1400433431130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536564575 (or 536564572 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 1400433431130 its reverse (311343340041), we get a palindrome (1711776771171).

The spelling of 1400433431130 in words is "one trillion, four hundred billion, four hundred thirty-three million, four hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 2610 536564533 1073129066 1609693599 2682822665 3219387198 4829080797 5365645330 8048467995 9658161594 15560371457 16096935990 24145403985 31120742914 46681114371 48290807970 77801857285 93362228742 140043343113 155603714570 233405571855 280086686226 466811143710 700216715565 1400433431130