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13414099920 = 2435134299391
BaseRepresentation
bin11000111111000101…
…01110101111010000
31021121211222212202120
430133202232233100
5204433002144140
610055022414240
7653261653014
oct143742565720
937554885676
1013414099920
115763a008a1
122724431380
13135a10c040
14913760544
1553799d1d0
hex31f8aebd0

13414099920 has 80 divisors (see below), whose sum is σ = 44782467072. Its totient is φ = 3301931520.

The previous prime is 13414099913. The next prime is 13414099943. The reversal of 13414099920 is 2999041431.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2146576 + ... + 2152815.

Almost surely, 213414099920 is an apocalyptic number.

13414099920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13414099920 is an abundant number, since it is smaller than the sum of its proper divisors (31368367152).

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

13414099920 is a wasteful number, since it uses less digits than its factorization.

13414099920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4299420 (or 4299414 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The spelling of 13414099920 in words is "thirteen billion, four hundred fourteen million, ninety-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 4299391 8598782 12898173 17197564 21496955 25796346 34395128 42993910 51592692 55892083 64490865 68790256 85987820 103185384 111784166 128981730 167676249 171975640 206370768 223568332 257963460 279460415 335352498 343951280 447136664 515926920 558920830 670704996 838381245 894273328 1031853840 1117841660 1341409992 1676762490 2235683320 2682819984 3353524980 4471366640 6707049960 13414099920