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14010144120 = 2332575559581
BaseRepresentation
bin11010000110001000…
…11101010101111000
31100011101120001200200
431003010131111320
5212143044102440
610234114002200
71004120155140
oct150304352570
940141501620
1014010144120
115a3a3a7705
12286bb76360
13142375120b
1496c997920
1556ee88c30
hex34311d578

14010144120 has 96 divisors (see below), whose sum is σ = 52037687520. Its totient is φ = 3202318080.

The previous prime is 14010144067. The next prime is 14010144139. The reversal of 14010144120 is 2144101041.

14010144120 is a `hidden beast` number, since 1 + 401 + 0 + 144 + 120 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 14010144093 and 14010144102.

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, 2777271 + ... + 2782310.

It is an arithmetic number, because the mean of its divisors is an integer number (542059245).

Almost surely, 214010144120 is an apocalyptic number.

14010144120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14010144120 is an abundant number, since it is smaller than the sum of its proper divisors (38027543400).

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

14010144120 is a wasteful number, since it uses less digits than its factorization.

14010144120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5559605 (or 5559598 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 14010144120 its reverse (2144101041), we get a palindrome (16154245161).

The spelling of 14010144120 in words is "fourteen billion, ten million, one hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 5559581 11119162 16678743 22238324 27797905 33357486 38917067 44476648 50036229 55595810 66714972 77834134 83393715 100072458 111191620 116751201 133429944 155668268 166787430 194585335 200144916 222383240 233502402 250181145 311336536 333574860 350253603 389170670 400289832 467004804 500362290 583756005 667149720 700507206 778341340 934009608 1000724580 1167512010 1401014412 1556682680 1751268015 2001449160 2335024020 2802028824 3502536030 4670048040 7005072060 14010144120