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10400133040 = 2451111818333
BaseRepresentation
bin10011010111110010…
…10110111110110000
3222211210200111110121
421223321112332300
5132244413224130
64435554540024
7515503446403
oct115371267660
928753614417
1010400133040
114457670980
122022b97614
13c9987749b
1470935dd3a
1540d09ad7a
hex26be56fb0

10400133040 has 40 divisors (see below), whose sum is σ = 26378521488. Its totient is φ = 3781866240.

The previous prime is 10400133013. The next prime is 10400133041. The reversal of 10400133040 is 4033100401.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10400133041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5908287 + ... + 5910046.

Almost surely, 210400133040 is an apocalyptic number.

10400133040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10400133040 is an abundant number, since it is smaller than the sum of its proper divisors (15978388448).

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

10400133040 is a wasteful number, since it uses less digits than its factorization.

10400133040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11818357 (or 11818351 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10400133040 its reverse (4033100401), we get a palindrome (14433233441).

The spelling of 10400133040 in words is "ten billion, four hundred million, one hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 11818333 23636666 47273332 59091665 94546664 118183330 130001663 189093328 236366660 260003326 472733320 520006652 650008315 945466640 1040013304 1300016630 2080026608 2600033260 5200066520 10400133040