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14362325904640 = 28575693281563
BaseRepresentation
bin1101000011111111110101…
…0101010110110100000000
31212212000200012000222121011
43100333331111112310000
53340303020412422030
650313543400410304
73011433552622630
oct320777525266400
955760605028534
1014362325904640
11463803460358a
12173b621a76994
13802491354a6c
143791d6d166c0
1519d8e50ebb2a
hexd0ffd556d00

14362325904640 has 144 divisors (see below), whose sum is σ = 39323913003648. Its totient is φ = 4923343577088.

The previous prime is 14362325904613. The next prime is 14362325904643. The reversal of 14362325904640 is 4640952326341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14362325904643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50868499 + ... + 51150061.

It is an arithmetic number, because the mean of its divisors is an integer number (273082729192).

Almost surely, 214362325904640 is an apocalyptic number.

14362325904640 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 14362325904640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19661956501824).

14362325904640 is an abundant number, since it is smaller than the sum of its proper divisors (24961587099008).

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

14362325904640 is an equidigital number, since it uses as much as digits as its factorization.

14362325904640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287284 (or 287270 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 49.

The spelling of 14362325904640 in words is "fourteen trillion, three hundred sixty-two billion, three hundred twenty-five million, nine hundred four thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 4480 5693 8960 11386 22772 28465 39851 45544 56930 79702 91088 113860 159404 182176 199255 227720 281563 318808 364352 398510 455440 563126 637616 728704 797020 910880 1126252 1275232 1407815 1457408 1594040 1821760 1970941 2252504 2550464 2815630 3188080 3643520 3941882 4505008 5100928 5631260 6376160 7287040 7883764 9010016 9854705 10201856 11262520 12752320 15767528 18020032 19709410 22525040 25504640 31535056 36040064 39418820 45050080 51009280 63070112 72080128 78837640 90100160 126140224 157675280 180200320 252280448 315350560 360400640 504560896 630701120 1261402240 1602938159 2522804480 3205876318 6411752636 8014690795 11220567113 12823505272 16029381590 22441134226 25647010544 32058763180 44882268452 51294021088 56102835565 64117526360 89764536904 102588042176 112205671130 128235052720 179529073808 205176084352 224411342260 256470105440 359058147616 410352168704 448822684520 512940210880 718116295232 897645369040 1025880421760 1436232590464 1795290738080 2051760843520 2872465180928 3590581476160 7181162952320 14362325904640