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31221555040 = 2551334694327
BaseRepresentation
bin11101000100111100…
…110001111101100000
32222120212212022212101
4131010330301331200
51002420204230130
622202030140144
72153461560544
oct350474617540
988525768771
1031221555040
1112271832455
126074051654
132c37495730
141722789a24
15c2aec11ca
hex744f31f60

31221555040 has 96 divisors (see below), whose sum is σ = 79476102720. Its totient is φ = 11521972224.

The previous prime is 31221554983. The next prime is 31221555077. The reversal of 31221555040 is 4055512213.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7213357 + ... + 7217683.

It is an arithmetic number, because the mean of its divisors is an integer number (827876070).

Almost surely, 231221555040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31221555040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39738051360).

31221555040 is an abundant number, since it is smaller than the sum of its proper divisors (48254547680).

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

31221555040 is a wasteful number, since it uses less digits than its factorization.

31221555040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7824 (or 7816 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The spelling of 31221555040 in words is "thirty-one billion, two hundred twenty-one million, five hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 3469 4327 6938 8654 13876 17308 17345 21635 27752 34616 34690 43270 45097 55504 56251 69232 69380 86540 90194 111008 112502 138464 138760 173080 180388 225004 225485 277520 281255 346160 360776 450008 450970 555040 562510 692320 721552 900016 901940 1125020 1443104 1800032 1803880 2250040 3607760 4500080 7215520 9000160 15010363 30020726 60041452 75051815 120082904 150103630 195134719 240165808 300207260 390269438 480331616 600414520 780538876 975673595 1200829040 1561077752 1951347190 2401658080 3122155504 3902694380 6244311008 7805388760 15610777520 31221555040