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12142400410 = 2572157157837
BaseRepresentation
bin10110100111011111…
…00101001110011010
31011100020001211222201
423103233211032122
5144331423303120
65324513440414
7606620462200
oct132357451632
934306054881
1012142400410
115171083168
12242a57010a
1311b680261a
148328c9070
154b0eed40a
hex2d3be539a

12142400410 has 48 divisors (see below), whose sum is σ = 25586802504. Its totient is φ = 4136565888.

The previous prime is 12142400393. The next prime is 12142400411. The reversal of 12142400410 is 1400424121.

It can be written as a sum of positive squares in 4 ways, for example, as 11038233969 + 1104166441 = 105063^2 + 33229^2 .

It is not an unprimeable number, because it can be changed into a prime (12142400411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1989 + ... + 155848.

Almost surely, 212142400410 is an apocalyptic number.

12142400410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12142400410 is an abundant number, since it is smaller than the sum of its proper divisors (13444402094).

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

12142400410 is a wasteful number, since it uses less digits than its factorization.

12142400410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158015 (or 158008 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 12142400410 its reverse (1400424121), we get a palindrome (13542824531).

The spelling of 12142400410 in words is "twelve billion, one hundred forty-two million, four hundred thousand, four hundred ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 157 245 314 490 785 1099 1570 2198 5495 7693 10990 15386 38465 76930 157837 315674 789185 1104859 1578370 2209718 5524295 7734013 11048590 15468026 24780409 38670065 49560818 77340130 123902045 173462863 247804090 346925726 867314315 1214240041 1734628630 2428480082 6071200205 12142400410