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14324240322100 = 22528312281140527
BaseRepresentation
bin1101000001110001111101…
…0000011000111000110100
31212201101100221021221011001
43100130133100120320310
53334142021010301400
650244244250253044
73005615012540062
oct320343720307064
955641327257131
1014324240322100
114622970258735
121734173127184
137cba01ab34c7
14377422ac7032
1519c91671ea6a
hexd071f418e34

14324240322100 has 72 divisors (see below), whose sum is σ = 31460888124288. Its totient is φ = 5660162438400.

The previous prime is 14324240322047. The next prime is 14324240322131. The reversal of 14324240322100 is 122304242341.

It is a congruent number.

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, 101862037 + ... + 102002563.

It is an arithmetic number, because the mean of its divisors is an integer number (436956779504).

Almost surely, 214324240322100 is an apocalyptic number.

14324240322100 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 14324240322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15730444062144).

14324240322100 is an abundant number, since it is smaller than the sum of its proper divisors (17136647802188).

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

14324240322100 is a wasteful number, since it uses less digits than its factorization.

14324240322100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152905 (or 152898 counting only the distinct ones).

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

Adding to 14324240322100 its reverse (122304242341), we get a palindrome (14446544564441).

The spelling of 14324240322100 in words is "fourteen trillion, three hundred twenty-four billion, two hundred forty million, three hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 83 100 166 332 415 830 1660 2075 4150 8300 12281 24562 49124 61405 122810 140527 245620 281054 307025 562108 614050 702635 1019323 1228100 1405270 2038646 2810540 3513175 4077292 5096615 7026350 10193230 11663741 14052700 20386460 23327482 25483075 46654964 50966150 58318705 101932300 116637410 233274820 291593525 583187050 1166374100 1725812087 3451624174 6903248348 8629060435 17258120870 34516241740 43145302175 86290604350 143242403221 172581208700 286484806442 572969612884 716212016105 1432424032210 2864848064420 3581060080525 7162120161050 14324240322100