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1400436431442 = 2321014373176153
BaseRepresentation
bin10100011000010000100…
…001000001101001010010
311221212202211012210212100
4110120100201001221102
5140421043211301232
62551203540541230
7203115056154636
oct24302041015122
94855684183770
101400436431442
1149aa15946734
121a74b73b1816
13a20a3162929
144bad2574dc6
152666661cc7c
hex14610841a52

1400436431442 has 48 divisors (see below), whose sum is σ = 3065039436888. Its totient is φ = 462081926400.

The previous prime is 1400436431389. The next prime is 1400436431447. The reversal of 1400436431442 is 2441346340041.

1400436431442 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 4 + 3 + 643 + 1 + 4 + 4 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1224698568921 + 175737862521 = 1106661^2 + 419211^2 .

It is a super-2 number, since 2×14004364314422 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1400436431397 and 1400436431406.

It is not an unprimeable number, because it can be changed into a prime (1400436431447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7862038 + ... + 8038190.

Almost surely, 21400436431442 is an apocalyptic number.

1400436431442 is an abundant number, since it is smaller than the sum of its proper divisors (1664603005446).

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

1400436431442 is a wasteful number, since it uses less digits than its factorization.

1400436431442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180635 (or 180632 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 1400436431442 in words is "one trillion, four hundred billion, four hundred thirty-six million, four hundred thirty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 101 202 303 606 909 1818 4373 8746 13119 26238 39357 78714 176153 352306 441673 528459 883346 1056918 1325019 1585377 2650038 3170754 3975057 7950114 17791453 35582906 53374359 106748718 160123077 320246154 770317069 1540634138 2310951207 4621902414 6932853621 13865707242 77802023969 155604047938 233406071907 466812143814 700218215721 1400436431442