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133400051344 = 24724121612287
BaseRepresentation
bin111110000111101000…
…0110011111010010000
3110202022212201202020101
41330033100303322100
54141200403120334
6141141054022144
712431530504330
oct1741720637220
9422285652211
10133400051344
115163594001a
1221a2b4a7954
13c76c417b31
146656c8b0c0
15370b5cb214
hex1f0f433e90

133400051344 has 80 divisors (see below), whose sum is σ = 296878506496. Its totient is φ = 56882995200.

The previous prime is 133400051333. The next prime is 133400051347. The reversal of 133400051344 is 443150004331.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (133400051347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58328569 + ... + 58330855.

Almost surely, 2133400051344 is an apocalyptic number.

133400051344 is a gapful number since it is divisible by the number (14) 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 133400051344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148439253248).

133400051344 is an abundant number, since it is smaller than the sum of its proper divisors (163478455152).

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

133400051344 is a wasteful number, since it uses less digits than its factorization.

133400051344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4704 (or 4698 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 133400051344 its reverse (443150004331), we get a palindrome (576550055675).

The spelling of 133400051344 in words is "one hundred thirty-three billion, four hundred million, fifty-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 241 482 964 1687 1928 2161 2287 3374 3856 4322 4574 6748 8644 9148 13496 15127 16009 17288 18296 26992 30254 32018 34576 36592 60508 64036 121016 128072 242032 256144 520801 551167 1041602 1102334 2083204 2204668 3645607 3858169 4166408 4409336 4942207 7291214 7716338 8332816 8818672 9884414 14582428 15432676 19768828 29164856 30865352 34595449 39537656 58329712 61730704 69190898 79075312 138381796 276763592 553527184 1191071887 2382143774 4764287548 8337503209 9528575096 16675006418 19057150192 33350012836 66700025672 133400051344