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32333023140040 = 23571021222150923
BaseRepresentation
bin1110101101000000111100…
…10110111101100011001000
311020111000011222022222002001
413112200132112331203020
513214221012410440130
6152433330305520344
76544661312026060
oct726403626754310
9136430158288061
1032333023140040
11a3363a3708007
1237624340430b4
131506cb62c126c
147dacd8ad43a0
153b10c96a46ca
hex1d681e5bd8c8

32333023140040 has 128 divisors (see below), whose sum is σ = 83262597707520. Its totient is φ = 11069546572800.

The previous prime is 32333023140001. The next prime is 32333023140059. The reversal of 32333023140040 is 4004132033323.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 32333023139990 and 32333023140008.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 634914019 + ... + 634964941.

It is an arithmetic number, because the mean of its divisors is an integer number (650489044590).

Almost surely, 232333023140040 is an apocalyptic number.

It is an amenable number.

32333023140040 is an abundant number, since it is smaller than the sum of its proper divisors (50929574567480).

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

32333023140040 is a wasteful number, since it uses less digits than its factorization.

32333023140040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54183 (or 54179 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 32333023140040 its reverse (4004132033323), we get a palindrome (36337155173363).

The spelling of 32333023140040 in words is "thirty-two trillion, three hundred thirty-three billion, twenty-three million, one hundred forty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 1021 2042 2221 4084 4442 5105 7147 8168 8884 10210 11105 14294 15547 17768 20420 22210 28588 31094 35735 40840 44420 50923 57176 62188 71470 77735 88840 101846 124376 142940 155470 203692 254615 285880 310940 356461 407384 509230 621880 712922 1018460 1425844 1782305 2036920 2267641 2851688 3564610 4535282 7129220 9070564 11338205 14258440 15873487 18141128 22676410 31746974 45352820 51992383 63493948 79367435 90705640 103984766 113099983 126987896 158734870 207969532 226199966 259961915 317469740 363946681 415939064 452399932 519923830 565499915 634939480 727893362 791699881 904799864 1039847660 1130999830 1455786724 1583399762 1819733405 2079695320 2261999660 2911573448 3166799524 3639466810 3958499405 4523999320 6333599048 7278933620 7916998810 14557867240 15833997620 31667995240 115475082643 230950165286 461900330572 577375413215 808325578501 923800661144 1154750826430 1616651157002 2309501652860 3233302314004 4041627892505 4619003305720 6466604628008 8083255785010 16166511570020 32333023140040