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32132441004240 = 24351013314004821
BaseRepresentation
bin1110100111001011010101…
…01110110101100011010000
311012202211110001122201101110
413103211222232311203100
513202424214344113430
6152201234542333320
76524330562015123
oct723455256654320
9135684401581343
1032132441004240
11a26932328a645
12372b59558a240
1314c10cb4bc745
147d130b59a3ba
153aac8a0907b0
hex1d396abb58d0

32132441004240 has 160 divisors (see below), whose sum is σ = 100900753402752. Its totient is φ = 8458179840000.

The previous prime is 32132441004217. The next prime is 32132441004263. The reversal of 32132441004240 is 4240014423123.

It is an interprime number because it is at equal distance from previous prime (32132441004217) and next prime (32132441004263).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 32132441004198 and 32132441004207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6021030 + ... + 10025850.

Almost surely, 232132441004240 is an apocalyptic number.

32132441004240 is a gapful number since it is divisible by the number (30) 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 32132441004240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50450376701376).

32132441004240 is an abundant number, since it is smaller than the sum of its proper divisors (68768312398512).

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

32132441004240 is a wasteful number, since it uses less digits than its factorization.

32132441004240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4005269 (or 4005263 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 32132441004240 its reverse (4240014423123), we get a palindrome (36372455427363).

The spelling of 32132441004240 in words is "thirty-two trillion, one hundred thirty-two billion, four hundred forty-one million, four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 101 120 202 240 303 331 404 505 606 662 808 993 1010 1212 1324 1515 1616 1655 1986 2020 2424 2648 3030 3310 3972 4040 4848 4965 5296 6060 6620 7944 8080 9930 12120 13240 15888 19860 24240 26480 33431 39720 66862 79440 100293 133724 167155 200586 267448 334310 401172 501465 534896 668620 802344 1002930 1337240 1604688 2005860 2674480 4004821 4011720 8009642 8023440 12014463 16019284 20024105 24028926 32038568 40048210 48057852 60072315 64077136 80096420 96115704 120144630 160192840 192231408 240289260 320385680 404486921 480578520 808973842 961157040 1213460763 1325595751 1617947684 2022434605 2426921526 2651191502 3235895368 3976787253 4044869210 4853843052 5302383004 6067303815 6471790736 6627978755 7953574506 8089738420 9707686104 10604766008 12134607630 13255957510 15907149012 16179476840 19415372208 19883936265 21209532016 24269215260 26511915020 31814298024 32358953680 39767872530 48538430520 53023830040 63628596048 79535745060 97076861040 106047660080 133885170851 159071490120 267770341702 318142980240 401655512553 535540683404 669425854255 803311025106 1071081366808 1338851708510 1606622050212 2008277562765 2142162733616 2677703417020 3213244100424 4016555125530 5355406834040 6426488200848 8033110251060 10710813668080 16066220502120 32132441004240