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314223402414005 = 5731721264750129
BaseRepresentation
bin100011101110010001101011…
…0010001111110111110110101
31112012120110112011221000221022
41013130203112101332332311
5312141214012004222010
63032144123244230525
7123120614560262000
oct10734432621767665
91465513464830838
10314223402414005
119113743a96a327
122b2aa72583b445
13106441a7c12386
1457846cb0a6537
15264da124ced55
hex11dc8d647efb5

314223402414005 has 96 divisors (see below), whose sum is σ = 467163796032000. Its totient is φ = 202772838567936.

The previous prime is 314223402413993. The next prime is 314223402414029. The reversal of 314223402414005 is 500414204322413.

It is not a de Polignac number, because 314223402414005 - 222 = 314223398219701 is a prime.

It is a super-2 number, since 2×3142234024140052 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6268270781 + ... + 6268320909.

It is an arithmetic number, because the mean of its divisors is an integer number (4866289542000).

Almost surely, 2314223402414005 is an apocalyptic number.

314223402414005 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

314223402414005 is a deficient number, since it is larger than the sum of its proper divisors (152940393617995).

314223402414005 is a wasteful number, since it uses less digits than its factorization.

314223402414005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62836 (or 62805 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

Adding to 314223402414005 its reverse (500414204322413), we get a palindrome (814637606736418).

The spelling of 314223402414005 in words is "three hundred fourteen trillion, two hundred twenty-three billion, four hundred two million, four hundred fourteen thousand, five".

Divisors: 1 5 7 17 35 49 85 119 245 289 343 595 833 1445 1715 2023 4165 5831 10115 12647 14161 29155 50129 63235 70805 88529 99127 214999 250645 350903 442645 495635 619703 852193 1074995 1504993 1754515 2456321 3098515 3654983 4260965 4337921 5965351 7524965 10534951 12281605 14487281 17194247 18274915 21689605 25584881 29826755 41757457 52674755 72436405 73744657 85971235 101410967 127924405 179094167 208787285 292302199 368723285 507054835 633981463 709876769 895470835 1253659169 1461510995 3169907315 3549383845 4437870241 4969137383 6268295845 10777684871 22189351205 24845686915 31065091687 53888424355 75443794097 155325458435 183220642807 217455641809 377218970485 528106558679 916103214035 1087278209045 1282544499649 2640532793395 3696745910753 6412722498245 8977811497543 18483729553765 44889057487715 62844680482801 314223402414005