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1142403402400 = 255213109846481
BaseRepresentation
bin10000100111111100100…
…011001000101010100000
311001012202001112210111221
4100213330203020222200
5122204120232334100
62232451325344424
7145351551462301
oct20477443105240
94035661483457
101142403402400
11400543a35907
121654a4708114
1383960a68020
143d414d3c7a8
151eab348201a
hex109fc8c8aa0

1142403402400 has 72 divisors (see below), whose sum is σ = 3003422510844. Its totient is φ = 421810483200.

The previous prime is 1142403402389. The next prime is 1142403402403. The reversal of 1142403402400 is 42043042411.

It can be written as a sum of positive squares in 6 ways, for example, as 46454043024 + 1095949359376 = 215532^2 + 1046876^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1142403402403) 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 11 ways as a sum of consecutive naturals, for example, 54912841 + ... + 54933640.

Almost surely, 21142403402400 is an apocalyptic number.

1142403402400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1142403402400 is an abundant number, since it is smaller than the sum of its proper divisors (1861019108444).

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

1142403402400 is a wasteful number, since it uses less digits than its factorization.

1142403402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109846514 (or 109846501 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 1142403402400 its reverse (42043042411), we get a palindrome (1184446444811).

The spelling of 1142403402400 in words is "one trillion, one hundred forty-two billion, four hundred three million, four hundred two thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 130 160 200 208 260 325 400 416 520 650 800 1040 1300 2080 2600 5200 10400 109846481 219692962 439385924 549232405 878771848 1098464810 1428004253 1757543696 2196929620 2746162025 2856008506 3515087392 4393859240 5492324050 5712017012 7140021265 8787718480 10984648100 11424034024 14280042530 17575436960 21969296200 22848068048 28560085060 35700106325 43938592400 45696136096 57120170120 71400212650 87877184800 114240340240 142800425300 228480680480 285600850600 571201701200 1142403402400