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133432233440 = 2551175813769
BaseRepresentation
bin111110001000100101…
…1100100110111100000
3110202102010021202202212
41330101023210313200
54141232122432230
6141144203501252
712432401161562
oct1742113446740
9422363252685
10133432233440
11516520209a0
1221a3a227828
13c775ca50ac
14665b267332
15370e336895
hex1f112e4de0

133432233440 has 48 divisors (see below), whose sum is σ = 343891260720. Its totient is φ = 48520811520.

The previous prime is 133432233391. The next prime is 133432233457. The reversal of 133432233440 is 44332234331.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 133432233397 and 133432233406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37905125 + ... + 37908644.

It is an arithmetic number, because the mean of its divisors is an integer number (7164401265).

Almost surely, 2133432233440 is an apocalyptic number.

133432233440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133432233440 is an abundant number, since it is smaller than the sum of its proper divisors (210459027280).

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

133432233440 is a wasteful number, since it uses less digits than its factorization.

133432233440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75813795 (or 75813787 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 133432233440 its reverse (44332234331), we get a palindrome (177764467771).

The spelling of 133432233440 in words is "one hundred thirty-three billion, four hundred thirty-two million, two hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 75813769 151627538 303255076 379068845 606510152 758137690 833951459 1213020304 1516275380 1667902918 2426040608 3032550760 3335805836 4169757295 6065101520 6671611672 8339514590 12130203040 13343223344 16679029180 26686446688 33358058360 66716116720 133432233440