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13414930560 = 27335776327
BaseRepresentation
bin11000111111001011…
…11001100010000000
31021121220120002012000
430133211321202000
5204433210234220
610055052304000
7653302012503
oct143745714200
937556502160
1013414930560
115764418979
122724772000
13135a340145
149138d913a
15537ab4390
hex31f979880

13414930560 has 128 divisors (see below), whose sum is σ = 47511273600. Its totient is φ = 3577310208.

The previous prime is 13414930553. The next prime is 13414930561. The reversal of 13414930560 is 6503941431.

13414930560 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 4 + 93 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13414930561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 370884 + ... + 405443.

It is an arithmetic number, because the mean of its divisors is an integer number (371181825).

Almost surely, 213414930560 is an apocalyptic number.

13414930560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13414930560 is an abundant number, since it is smaller than the sum of its proper divisors (34096343040).

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

13414930560 is an equidigital number, since it uses as much as digits as its factorization.

13414930560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776355 (or 776337 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 13414930560 in words is "thirteen billion, four hundred fourteen million, nine hundred thirty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2880 3456 4320 5760 8640 17280 776327 1552654 2328981 3105308 3881635 4657962 6210616 6986943 7763270 9315924 11644905 12421232 13973886 15526540 18631848 20960829 23289810 24842464 27947772 31053080 34934715 37263696 41921658 46579620 49684928 55895544 62106160 69869430 74527392 83843316 93159240 99369856 104804145 111791088 124212320 139738860 149054784 167686632 186318480 209608290 223582176 248424640 279477720 298109568 335373264 372636960 419216580 447164352 496849280 558955440 670746528 745273920 838433160 894328704 1117910880 1341493056 1490547840 1676866320 2235821760 2682986112 3353732640 4471643520 6707465280 13414930560