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14420356370056 = 2372133137902053
BaseRepresentation
bin1101000111011000000000…
…1110000000111010001000
31220001120110102121001211001
43101312000032000322020
53342230342212320211
650400341550544344
73015556605503200
oct321660016007210
956046412531731
1014420356370056
11465a70326210a
12174a9182080b4
13807aaba43670
1437bd3dda1400
151a018e9a8ac1
hexd1d80380e88

14420356370056 has 96 divisors (see below), whose sum is σ = 33882826060440. Its totient is φ = 5702931505152.

The previous prime is 14420356369997. The next prime is 14420356370059. The reversal of 14420356370056 is 65007365302441.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 13074371222500 + 1345985147556 = 3615850^2 + 1160166^2 .

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 14420356369988 and 14420356370015.

It is not an unprimeable number, because it can be changed into a prime (14420356370059) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15535126 + ... + 16437178.

Almost surely, 214420356370056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14420356370056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16941413030220).

14420356370056 is an abundant number, since it is smaller than the sum of its proper divisors (19462469690384).

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

14420356370056 is a wasteful number, since it uses less digits than its factorization.

14420356370056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905223 (or 905212 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 46.

The spelling of 14420356370056 in words is "fourteen trillion, four hundred twenty billion, three hundred fifty-six million, three hundred seventy thousand, fifty-six".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 364 392 637 728 1274 2548 3137 5096 6274 12548 21959 25096 40781 43918 81562 87836 153713 163124 175672 285467 307426 326248 570934 614852 902053 1141868 1229704 1804106 1998269 2283736 3608212 3996538 6314371 7216424 7993076 11726689 12628742 15986152 23453378 25257484 44200597 46906756 50514968 82086823 88401194 93813512 164173646 176802388 328347292 353604776 574607761 656694584 1149215522 2298431044 2829740261 4596862088 5659480522 11318961044 19808181827 22637922088 36786623393 39616363654 73573246786 79232727308 138657272789 147146493572 158465454616 257506363751 277314545578 294292987144 515012727502 554629091156 1030025455004 1109258182312 1802544546257 2060050910008 3605089092514 7210178185028 14420356370056