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12154431040 = 265239158923
BaseRepresentation
bin10110101000111010…
…11110011001000000
31011101001201001220121
423110131132121000
5144343013243130
65330023350024
7610124650003
oct132435363100
934331631817
1012154431040
11517794aa34
1224325b2314
1311b915553b
1483433b53a
154b20c7d7a
hex2d475e640

12154431040 has 56 divisors (see below), whose sum is σ = 29064021120. Its totient is φ = 4841399808.

The previous prime is 12154431013. The next prime is 12154431053. The reversal of 12154431040 is 4013445121.

It is a super-2 number, since 2×121544310402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12154430996 and 12154431014.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2982 + ... + 155941.

Almost surely, 212154431040 is an apocalyptic number.

12154431040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12154431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14532010560).

12154431040 is an abundant number, since it is smaller than the sum of its proper divisors (16909590080).

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

12154431040 is a wasteful number, since it uses less digits than its factorization.

12154431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159179 (or 159169 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 12154431040 its reverse (4013445121), we get a palindrome (16167876161).

The spelling of 12154431040 in words is "twelve billion, one hundred fifty-four million, four hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 239 320 478 956 1195 1912 2390 3824 4780 7648 9560 15296 19120 38240 76480 158923 317846 635692 794615 1271384 1589230 2542768 3178460 5085536 6356920 10171072 12713840 25427680 37982597 50855360 75965194 151930388 189912985 303860776 379825970 607721552 759651940 1215443104 1519303880 2430886208 3038607760 6077215520 12154431040