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14244400301340 = 22351121962038609
BaseRepresentation
bin1100111101001000100001…
…1010111000010100011100
31212102202021202012122102010
43033102020122320110130
53331340012434120330
650143442005431220
73000060342550206
oct317221032702434
955382252178363
1014244400301340
1145a201a68a400
1217207b0a0b510
137c4319b62881
1437360b2b3776
1519a7e23023b0
hexcf4886b851c

14244400301340 has 72 divisors (see below), whose sum is σ = 43839790701840. Its totient is φ = 3453187950080.

The previous prime is 14244400301333. The next prime is 14244400301357. The reversal of 14244400301340 is 4310300444241.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14244400301298 and 14244400301307.

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, 981012045 + ... + 981026564.

It is an arithmetic number, because the mean of its divisors is an integer number (608885981970).

Almost surely, 214244400301340 is an apocalyptic number.

14244400301340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14244400301340 is an abundant number, since it is smaller than the sum of its proper divisors (29595390400500).

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

14244400301340 is a wasteful number, since it uses less digits than its factorization.

14244400301340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1962038643 (or 1962038630 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 14244400301340 its reverse (4310300444241), we get a palindrome (18554700745581).

The spelling of 14244400301340 in words is "fourteen trillion, two hundred forty-four billion, four hundred million, three hundred one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1815 2420 3630 7260 1962038609 3924077218 5886115827 7848154436 9810193045 11772231654 19620386090 21582424699 23544463308 29430579135 39240772180 43164849398 58861158270 64747274097 86329698796 107912123495 117722316540 129494548194 215824246990 237406671689 258989096388 323736370485 431648493980 474813343378 647472740970 712220015067 949626686756 1187033358445 1294945481940 1424440030134 2374066716890 2848880060268 3561100075335 4748133433780 7122200150670 14244400301340