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40222240123312 = 24132711375915227
BaseRepresentation
bin10010010010100111110000…
…10101011010100110110000
312021102012122001221000112201
421021103320111122212300
520233000121432421222
6221313501513232544
711320650414654262
oct1111237025324660
9167365561830481
1040222240123312
11118a8179a5a075
12461740aa02754
131959c30400900
149d0aa41a5b32
1549b415902427
hex2494f855a9b0

40222240123312 has 120 divisors (see below), whose sum is σ = 85586759239680. Its totient is φ = 18300112346880.

The previous prime is 40222240123301. The next prime is 40222240123339. The reversal of 40222240123312 is 21332104222204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2641500243 + ... + 2641515469.

It is an arithmetic number, because the mean of its divisors is an integer number (713222993664).

Almost surely, 240222240123312 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 40222240123312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42793379619840).

40222240123312 is an abundant number, since it is smaller than the sum of its proper divisors (45364519116368).

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

40222240123312 is a wasteful number, since it uses less digits than its factorization.

40222240123312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29091 (or 29072 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 40222240123312 its reverse (21332104222204), we get a palindrome (61554344345516).

The spelling of 40222240123312 in words is "forty trillion, two hundred twenty-two billion, two hundred forty million, one hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 71 104 142 169 208 284 338 568 676 923 1136 1352 1846 2704 3692 7384 11999 13759 14768 15227 23998 27518 30454 47996 55036 60908 95992 110072 121816 178867 191984 197951 220144 243632 357734 395902 715468 791804 976889 1081117 1430936 1583608 1953778 2162234 2325271 2573363 2861872 3167216 3907556 4324468 4650542 5146726 7815112 8648936 9301084 10293452 12699557 14054521 15630224 17297872 18602168 20586904 25399114 28109042 37204336 41173808 50798228 56218084 101596456 112436168 165094241 182708773 203192912 209508293 224872336 330188482 365417546 419016586 660376964 730835092 838033172 1320753928 1461670184 1676066344 2641507856 2723607809 2923340368 3352132688 5447215618 10894431236 14875088803 21788862472 29750177606 35406901517 43577724944 59500355212 70813803034 119000710424 141627606068 193376154439 238001420848 283255212136 386752308878 566510424272 773504617756 1547009235512 2513890007707 3094018471024 5027780015414 10055560030828 20111120061656 40222240123312