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14100002343220 = 22523317131973309
BaseRepresentation
bin1100110100101110100110…
…1000011000100100110100
31211220221120101222100022011
43031023221220120210310
53322003301044440340
645553241320214004
72653456126265443
oct315135150304464
954827511870264
1014100002343220
114546860811232
1216b881230a304
137b38170a40c1
1436a62d93cd5a
15196b9044c0ea
hexcd2e9a18934

14100002343220 has 96 divisors (see below), whose sum is σ = 31018786444800. Its totient is φ = 5373614805504.

The previous prime is 14100002343187. The next prime is 14100002343223. The reversal of 14100002343220 is 2234320000141.

It is a junction number, because it is equal to n+sod(n) for n = 14100002343191 and 14100002343200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14100002343223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192299926 + ... + 192373234.

It is an arithmetic number, because the mean of its divisors is an integer number (323112358800).

Almost surely, 214100002343220 is an apocalyptic number.

14100002343220 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 14100002343220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15509393222400).

14100002343220 is an abundant number, since it is smaller than the sum of its proper divisors (16918784101580).

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

14100002343220 is a wasteful number, since it uses less digits than its factorization.

14100002343220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74977 (or 74975 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 14100002343220 its reverse (2234320000141), we get a palindrome (16334322343361).

The spelling of 14100002343220 in words is "fourteen trillion, one hundred billion, two million, three hundred forty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 317 460 634 1268 1319 1585 2638 3170 5276 6340 6595 7291 13190 14582 26380 29164 30337 36455 60674 72910 73309 121348 145820 146618 151685 293236 303370 366545 418123 606740 733090 836246 1466180 1672492 1686107 2090615 3372214 4181230 6744428 8362460 8430535 9616829 16861070 19233658 23238953 33722140 38467316 46477906 48084145 92955812 96168290 96694571 116194765 192336580 193389142 232389530 386778284 464779060 483472855 534495919 966945710 1068991838 1933891420 2137983676 2223975133 2672479595 4447950266 5344959190 8895900532 10689918380 11119875665 22239751330 30652179007 44479502660 61304358014 122608716028 153260895035 306521790070 613043580140 705000117161 1410000234322 2820000468644 3525000585805 7050001171610 14100002343220