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32412242261040 = 24351085312443657
BaseRepresentation
bin1110101111010100100000…
…01011111011010000110000
311020202120122220002021110120
413113222100023323100300
513222020233004323130
6152533551210330240
76553464402322365
oct727522013732060
9136676586067416
1032412242261040
11a366a55853144
123775862429980
1315115cc7094a5
14800a91c8046c
153b31b4326910
hex1d7a902fb430

32412242261040 has 80 divisors (see below), whose sum is σ = 100487217165408. Its totient is φ = 8642467514368.

The previous prime is 32412242261017. The next prime is 32412242261041. The reversal of 32412242261040 is 4016224221423.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 32412242260992 and 32412242261010.

It is not an unprimeable number, because it can be changed into a prime (32412242261041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3617109 + ... + 8826548.

Almost surely, 232412242261040 is an apocalyptic number.

32412242261040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32412242261040 is an abundant number, since it is smaller than the sum of its proper divisors (68074974904368).

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

32412242261040 is a wasteful number, since it uses less digits than its factorization.

32412242261040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12454526 (or 12454520 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 32412242261040 its reverse (4016224221423), we get a palindrome (36428466482463).

The spelling of 32412242261040 in words is "thirty-two trillion, four hundred twelve billion, two hundred forty-two million, two hundred sixty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 10853 21706 32559 43412 54265 65118 86824 108530 130236 162795 173648 217060 260472 325590 434120 520944 651180 868240 1302360 2604720 12443657 24887314 37330971 49774628 62218285 74661942 99549256 124436570 149323884 186654855 199098512 248873140 298647768 373309710 497746280 597295536 746619420 995492560 1493238840 2986477680 135051009421 270102018842 405153028263 540204037684 675255047105 810306056526 1080408075368 1350510094210 1620612113052 2025765141315 2160816150736 2701020188420 3241224226104 4051530282630 5402040376840 6482448452208 8103060565260 10804080753680 16206121130520 32412242261040