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2801143488 = 2631113102023
BaseRepresentation
bin1010011011110110…
…0000111011000000
321020012211211111010
42212331200323000
521214043042423
61141542120520
7126262220043
oct24675407300
97205754433
102801143488
111208199620
12662120140
1335843a870
141c8040c5a
15115db3693
hexa6f60ec0

2801143488 has 112 divisors (see below), whose sum is σ = 8707136256. Its totient is φ = 783528960.

The previous prime is 2801143483. The next prime is 2801143519. The reversal of 2801143488 is 8843411082.

It is a happy number.

It is a super-2 number, since 2×28011434882 = 15692809680729612288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2801143483) 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, 23556 + ... + 78467.

It is an arithmetic number, because the mean of its divisors is an integer number (77742288).

Almost surely, 22801143488 is an apocalyptic number.

It is an amenable number.

2801143488 is an abundant number, since it is smaller than the sum of its proper divisors (5905992768).

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

2801143488 is a wasteful number, since it uses less digits than its factorization.

2801143488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102062 (or 102052 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 2801143488 is about 52925.8300643457. The cubic root of 2801143488 is about 1409.6515893840.

The spelling of 2801143488 in words is "two billion, eight hundred one million, one hundred forty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 132 143 156 176 192 208 264 286 312 352 416 429 528 572 624 704 832 858 1056 1144 1248 1716 2112 2288 2496 3432 4576 6864 9152 13728 27456 102023 204046 306069 408092 612138 816184 1122253 1224276 1326299 1632368 2244506 2448552 2652598 3264736 3366759 3978897 4489012 4897104 5305196 6529472 6733518 7957794 8978024 9794208 10610392 13467036 14589289 15915588 17956048 19588416 21220784 26934072 29178578 31831176 35912096 42441568 43767867 53868144 58357156 63662352 71824192 84883136 87535734 107736288 116714312 127324704 175071468 215472576 233428624 254649408 350142936 466857248 700285872 933714496 1400571744 2801143488