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100415133440 = 28578449323
BaseRepresentation
bin101110110000100110…
…1010101011100000000
3100121012002210022021022
41131201031111130000
53121122233232230
6114044032445012
710153244360036
oct1354115253400
9317162708238
10100415133440
11396497a7a96
12175649a9768
13961381c32b
144c08244556
15292a8dc1e5
hex1761355700

100415133440 has 36 divisors (see below), whose sum is σ = 240525627384. Its totient is φ = 40166052864.

The previous prime is 100415133397. The next prime is 100415133449. The reversal of 100415133440 is 44331514001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100415133449) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39223382 + ... + 39225941.

Almost surely, 2100415133440 is an apocalyptic number.

100415133440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100415133440 is an abundant number, since it is smaller than the sum of its proper divisors (140110493944).

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

100415133440 is an frugal number, since it uses more digits than its factorization.

100415133440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78449344 (or 78449330 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 100415133440 its reverse (44331514001), we get a palindrome (144746647441).

The spelling of 100415133440 in words is "one hundred billion, four hundred fifteen million, one hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 78449323 156898646 313797292 392246615 627594584 784493230 1255189168 1568986460 2510378336 3137972920 5020756672 6275945840 10041513344 12551891680 20083026688 25103783360 50207566720 100415133440