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14012320014 = 23271122744537
BaseRepresentation
bin11010000110011001…
…10000100100001110
31100011112122121110100
431003030300210032
5212144123220024
610234232351530
71004144516640
oct150314604416
940145577410
1014012320014
115a40653470
1228708455a6
131424033724
1496cda2890
155702687c9
hex34333090e

14012320014 has 96 divisors (see below), whose sum is σ = 38019062016. Its totient is φ = 3623448960.

The previous prime is 14012319953. The next prime is 14012320031. The reversal of 14012320014 is 41002321041.

It is a super-2 number, since 2×140123200142 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 292354 + ... + 336890.

It is an arithmetic number, because the mean of its divisors is an integer number (396031896).

Almost surely, 214012320014 is an apocalyptic number.

14012320014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14012320014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19009531008).

14012320014 is an abundant number, since it is smaller than the sum of its proper divisors (24006742002).

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

14012320014 is a wasteful number, since it uses less digits than its factorization.

14012320014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44790 (or 44787 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 14012320014 its reverse (41002321041), we get a palindrome (55014641055).

The spelling of 14012320014 in words is "fourteen billion, twelve million, three hundred twenty thousand, fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 227 231 454 462 681 693 1362 1386 1589 2043 2497 3178 4086 4767 4994 7491 9534 14301 14982 17479 22473 28602 34958 44537 44946 52437 89074 104874 133611 157311 267222 311759 314622 400833 489907 623518 801666 935277 979814 1469721 1870554 2805831 2939442 3429349 4409163 5611662 6858698 8818326 10109899 10288047 20219798 20576094 30329697 30864141 60659394 61728282 70769293 90989091 111208889 141538586 181978182 212307879 222417778 333626667 424615758 636923637 667253334 778462223 1000880001 1273847274 1556924446 2001760002 2335386669 4670773338 7006160007 14012320014