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12214040025440 = 2551143911580459
BaseRepresentation
bin1011000110111100110110…
…0001000101100101100000
31121020122120110010222110002
42301233031201011211200
53100103323221303230
641551015202355132
72400302204140211
oct261571541054540
947218513128402
1012214040025440
113989a441a1a10
1214531b535baa8
136a7a186c2c06
1430323c5d5408
15162aadc82545
hexb1bcd845960

12214040025440 has 96 divisors (see below), whose sum is σ = 31486101131520. Its totient is φ = 4440454796800.

The previous prime is 12214040025427. The next prime is 12214040025469. The reversal of 12214040025440 is 4452004041221.

It is a happy number.

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, 6937931 + ... + 8518389.

It is an arithmetic number, because the mean of its divisors is an integer number (327980220120).

Almost surely, 212214040025440 is an apocalyptic number.

12214040025440 is a gapful number since it is divisible by the number (10) 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 12214040025440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15743050565760).

12214040025440 is an abundant number, since it is smaller than the sum of its proper divisors (19272061106080).

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

12214040025440 is a wasteful number, since it uses less digits than its factorization.

12214040025440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584876 (or 1584868 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 29.

Adding to 12214040025440 its reverse (4452004041221), we get a palindrome (16666044066661).

The spelling of 12214040025440 in words is "twelve trillion, two hundred fourteen billion, forty million, twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 4391 8782 17564 21955 35128 43910 48301 70256 87820 96602 140512 175640 193204 241505 351280 386408 483010 702560 772816 966020 1545632 1580459 1932040 3160918 3864080 6321836 7728160 7902295 12643672 15804590 17385049 25287344 31609180 34770098 50574688 63218360 69540196 86925245 126436720 139080392 173850490 252873440 278160784 347700980 556321568 695401960 1390803920 2781607840 6939795469 13879590938 27759181876 34698977345 55518363752 69397954690 76337750159 111036727504 138795909380 152675500318 222073455008 277591818760 305351000636 381688750795 555183637520 610702001272 763377501590 1110367275040 1221404002544 1526755003180 2442808005088 3053510006360 6107020012720 12214040025440