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14661561420 = 22325117404829
BaseRepresentation
bin11011010011110010…
…11010110001001100
31101211210022111020100
431221321122301030
5220011324431140
610422504051100
71026220134012
oct155171326114
941753274210
1014661561420
116244084110
122a12163a90
1314c86b033c
149d12c68b2
155ac261530
hex369e5ac4c

14661561420 has 72 divisors (see below), whose sum is σ = 48516446160. Its totient is φ = 3554317440.

The previous prime is 14661561391. The next prime is 14661561433. The reversal of 14661561420 is 2416516641.

14661561420 is a `hidden beast` number, since 1 + 4 + 6 + 6 + 15 + 614 + 20 = 666.

It is a super-2 number, since 2×146615614202 (a number of 21 digits) contains 22 as substring.

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

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, 3700435 + ... + 3704394.

It is an arithmetic number, because the mean of its divisors is an integer number (673839530).

Almost surely, 214661561420 is an apocalyptic number.

14661561420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14661561420 is an abundant number, since it is smaller than the sum of its proper divisors (33854884740).

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

14661561420 is a wasteful number, since it uses less digits than its factorization.

14661561420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7404855 (or 7404850 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

It can be divided in two parts, 14661 and 561420, that added together give a square (576081 = 7592).

The spelling of 14661561420 in words is "fourteen billion, six hundred sixty-one million, five hundred sixty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 7404829 14809658 22214487 29619316 37024145 44428974 66643461 74048290 81453119 88857948 111072435 133286922 148096580 162906238 222144870 244359357 266573844 325812476 333217305 407265595 444289740 488718714 666434610 733078071 814531190 977437428 1221796785 1332869220 1466156142 1629062380 2443593570 2932312284 3665390355 4887187140 7330780710 14661561420