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14001224120 = 2351325339079
BaseRepresentation
bin11010000101000100…
…11011100110111000
31100010202202212202022
431002202123212320
5212133303132440
610233154454012
71003651304252
oct150242334670
940122685668
1014001224120
115a35364a04
122868b94308
13142194a100
1496b714cd2
1556e2c5cb5
hex34289b9b8

14001224120 has 96 divisors (see below), whose sum is σ = 34756970400. Its totient is φ = 5072011776.

The previous prime is 14001224113. The next prime is 14001224137. The reversal of 14001224120 is 2142210041.

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, 338741 + ... + 377819.

It is an arithmetic number, because the mean of its divisors is an integer number (362051775).

Almost surely, 214001224120 is an apocalyptic number.

14001224120 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 14001224120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17378485200).

14001224120 is an abundant number, since it is smaller than the sum of its proper divisors (20755746280).

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

14001224120 is a wasteful number, since it uses less digits than its factorization.

14001224120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39169 (or 39152 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 14001224120 its reverse (2142210041), we get a palindrome (16143434161).

The spelling of 14001224120 in words is "fourteen billion, one million, two hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 53 65 104 106 130 169 212 260 265 338 424 520 530 676 689 845 1060 1352 1378 1690 2120 2756 3380 3445 5512 6760 6890 8957 13780 17914 27560 35828 39079 44785 71656 78158 89570 156316 179140 195395 312632 358280 390790 508027 781580 1016054 1563160 2032108 2071187 2540135 4064216 4142374 5080270 6604351 8284748 10160540 10355935 13208702 16569496 20321080 20711870 26417404 26925431 33021755 41423740 52834808 53850862 66043510 82847480 107701724 132087020 134627155 215403448 264174040 269254310 350030603 538508620 700061206 1077017240 1400122412 1750153015 2800244824 3500306030 7000612060 14001224120