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14012044222240 = 2551071117732731
BaseRepresentation
bin1100101111100110111011…
…1010110001111100100000
31211121112112110020211121201
43023321232322301330200
53314033131310102430
645445013320330544
72644223342506111
oct313715672617440
954545473224551
1014012044222240
114512524741069
1216a3765313a54
137a843a30007c
14366287cbc208
151947434a68ca
hexcbe6eeb1f20

14012044222240 has 96 divisors (see below), whose sum is σ = 33442791205824. Its totient is φ = 5547457797120.

The previous prime is 14012044222181. The next prime is 14012044222247. The reversal of 14012044222240 is 4222244021041.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 14012044222199 and 14012044222208.

It is not an unprimeable number, because it can be changed into a prime (14012044222247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18756675 + ... + 19489405.

It is an arithmetic number, because the mean of its divisors is an integer number (348362408394).

Almost surely, 214012044222240 is an apocalyptic number.

14012044222240 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 14012044222240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16721395602912).

14012044222240 is an abundant number, since it is smaller than the sum of its proper divisors (19430746983584).

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

14012044222240 is a wasteful number, since it uses less digits than its factorization.

14012044222240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733970 (or 733962 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 14012044222240 its reverse (4222244021041), we get a palindrome (18234288243281).

The spelling of 14012044222240 in words is "fourteen trillion, twelve billion, forty-four million, two hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 107 160 214 428 535 856 1070 1117 1712 2140 2234 3424 4280 4468 5585 8560 8936 11170 17120 17872 22340 35744 44680 89360 119519 178720 239038 478076 597595 732731 956152 1195190 1465462 1912304 2390380 2930924 3663655 3824608 4780760 5861848 7327310 9561520 11723696 14654620 19123040 23447392 29309240 58618480 78402217 117236960 156804434 313608868 392011085 627217736 784022170 818460527 1254435472 1568044340 1636921054 2508870944 3136088680 3273842108 4092302635 6272177360 6547684216 8184605270 12544354720 13095368432 16369210540 26190736864 32738421080 65476842160 87575276389 130953684320 175150552778 350301105556 437876381945 700602211112 875752763890 1401204422224 1751505527780 2802408844448 3503011055560 7006022111120 14012044222240