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40232334431104 = 271730071614849
BaseRepresentation
bin10010010010111010100100…
…00000001001001110000000
312021110011200120010222122021
421021131102000021032000
520233131310103243404
6221322251305251224
711321455516113124
oct1111352200111600
9167404616128567
1040232334431104
1111901489a27a02
124619367493b14
13195ab7b7ba9ba
149d1380a77584
1549b806bdd454
hex249752009380

40232334431104 has 64 divisors (see below), whose sum is σ = 84868040628000. Its totient is φ = 18932202864640.

The previous prime is 40232334431089. The next prime is 40232334431141. The reversal of 40232334431104 is 40113443323204.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 40232334431104.

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, 65127072 + ... + 65741920.

Almost surely, 240232334431104 is an apocalyptic number.

It is an amenable number.

40232334431104 is an abundant number, since it is smaller than the sum of its proper divisors (44635706196896).

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

40232334431104 is a wasteful number, since it uses less digits than its factorization.

40232334431104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644951 (or 644939 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 40232334431104 its reverse (40113443323204), we get a palindrome (80345777754308).

The spelling of 40232334431104 in words is "forty trillion, two hundred thirty-two billion, three hundred thirty-four million, four hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 30071 60142 120284 240568 481136 511207 614849 962272 1022414 1229698 1924544 2044828 2459396 3849088 4089656 4918792 8179312 9837584 10452433 16358624 19675168 20904866 32717248 39350336 41809732 65434496 78700672 83619464 167238928 334477856 668955712 1337911424 18489124279 36978248558 73956497116 147912994232 295825988464 314315112743 591651976928 628630225486 1183303953856 1257260450972 2366607907712 2514520901944 5029041803888 10058083607776 20116167215552 40232334431104