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14211510420 = 22353135921283
BaseRepresentation
bin11010011110001001…
…00111000010010100
31100200102110112022210
431033010213002110
5213101121313140
610310105553420
71012113562662
oct151704470224
940612415283
1014211510420
116033033138
1229074a5870
131456396383
1498b613c32
155829b2d80
hex34f127094

14211510420 has 96 divisors (see below), whose sum is σ = 41192202240. Its totient is φ = 3657098880.

The previous prime is 14211510419. The next prime is 14211510473. The reversal of 14211510420 is 2401511241.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 657099 + ... + 678381.

It is an arithmetic number, because the mean of its divisors is an integer number (429085440).

Almost surely, 214211510420 is an apocalyptic number.

14211510420 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 14211510420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20596101120).

14211510420 is an abundant number, since it is smaller than the sum of its proper divisors (26980691820).

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

14211510420 is a wasteful number, since it uses less digits than its factorization.

14211510420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21685 (or 21683 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The spelling of 14211510420 in words is "fourteen billion, two hundred eleven million, five hundred ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 359 372 465 620 718 930 1077 1436 1795 1860 2154 3590 4308 5385 7180 10770 11129 21283 21540 22258 33387 42566 44516 55645 63849 66774 85132 106415 111290 127698 133548 166935 212830 222580 255396 319245 333870 425660 638490 659773 667740 1276980 1319546 1979319 2639092 3298865 3958638 6597730 7640597 7917276 9896595 13195460 15281194 19793190 22921791 30562388 38202985 39586380 45843582 76405970 91687164 114608955 152811940 229217910 236858507 458435820 473717014 710575521 947434028 1184292535 1421151042 2368585070 2842302084 3552877605 4737170140 7105755210 14211510420