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1145888016 = 243713262337
BaseRepresentation
bin100010001001100…
…1101110100010000
32221212012010211220
41010103031310100
54321321404031
6305412205040
740252613250
oct10423156420
92855163756
101145888016
11538907699
1227b909780
13153529560
14ac285960
156a8ec596
hex444cdd10

1145888016 has 80 divisors (see below), whose sum is σ = 3643350144. Its totient is φ = 302211072.

The previous prime is 1145887987. The next prime is 1145888017. The reversal of 1145888016 is 6108885411.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1145888017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126801 + ... + 135536.

Almost surely, 21145888016 is an apocalyptic number.

1145888016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1145888016 is an abundant number, since it is smaller than the sum of its proper divisors (2497462128).

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

1145888016 is a wasteful number, since it uses less digits than its factorization.

1145888016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262368 (or 262362 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 42.

The square root of 1145888016 is about 33850.9677261965. The cubic root of 1145888016 is about 1046.4393422676.

The spelling of 1145888016 in words is "one billion, one hundred forty-five million, eight hundred eighty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 4368 262337 524674 787011 1049348 1574022 1836359 2098696 3148044 3410381 3672718 4197392 5509077 6296088 6820762 7345436 10231143 11018154 12592176 13641524 14690872 20462286 22036308 23872667 27283048 29381744 40924572 44072616 47745334 54566096 71618001 81849144 88145232 95490668 143236002 163698288 190981336 286472004 381962672 572944008 1145888016