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100000147984 = 2411271872
BaseRepresentation
bin101110100100001111…
…0010010101000010000
3100120010011220212020121
41131020132102220100
53114300014213414
6113534530120024
710140045142642
oct1351036225020
9316104825217
10100000147984
1139456527300
1217469a20014
139578861bc9
144ba909c892
152904268724
hex1748792a10

100000147984 has 45 divisors (see below), whose sum is σ = 212994827311. Its totient is φ = 45448288160.

The previous prime is 100000147963. The next prime is 100000147987. The reversal of 100000147984 is 489741000001.

The square root of 100000147984 is 316228.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100000147987) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13910439 + ... + 13917625.

Almost surely, 2100000147984 is an apocalyptic number.

100000147984 is the 316228-th square number.

It is an amenable number.

100000147984 is an abundant number, since it is smaller than the sum of its proper divisors (112994679327).

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

100000147984 is an frugal number, since it uses more digits than its factorization.

100000147984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14404 (or 7200 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

Adding to 100000147984 its reverse (489741000001), we get a palindrome (589741147985).

The spelling of 100000147984 in words is "one hundred billion, one hundred forty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 7187 14374 28748 57496 79057 114992 158114 316228 632456 869627 1264912 1739254 3478508 6957016 13914032 51652969 103305938 206611876 413223752 568182659 826447504 1136365318 2272730636 4545461272 6250009249 9090922544 12500018498 25000036996 50000073992 100000147984