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10054140432 = 243743169427
BaseRepresentation
bin10010101110100011…
…00000001000010000
3221221200122020211120
421113101200020100
5131042324443212
64341355042240
7504102532530
oct112721401020
927850566746
1010054140432
11429a333576
121b47140380
13c42c9532b
146b54174c0
153dca0488c
hex257460210

10054140432 has 80 divisors (see below), whose sum is σ = 29752952832. Its totient is φ = 2865905280.

The previous prime is 10054140373. The next prime is 10054140461. The reversal of 10054140432 is 23404145001.

It is a super-3 number, since 3×100541404323 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110103 + ... + 179529.

Almost surely, 210054140432 is an apocalyptic number.

10054140432 is a gapful number since it is divisible by the number (12) 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 10054140432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14876476416).

10054140432 is an abundant number, since it is smaller than the sum of its proper divisors (19698812400).

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

10054140432 is a wasteful number, since it uses less digits than its factorization.

10054140432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69876 (or 69870 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 10054140432 its reverse (23404145001), we get a palindrome (33458285433).

The spelling of 10054140432 in words is "ten billion, fifty-four million, one hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 431 862 1293 1724 2586 3017 3448 5172 6034 6896 9051 10344 12068 18102 20688 24136 36204 48272 69427 72408 138854 144816 208281 277708 416562 485989 555416 833124 971978 1110832 1457967 1666248 1943956 2915934 3332496 3887912 5831868 7775824 11663736 23327472 29923037 59846074 89769111 119692148 179538222 209461259 239384296 359076444 418922518 478768592 628383777 718152888 837845036 1256767554 1436305776 1675690072 2513535108 3351380144 5027070216 10054140432