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14142120320 = 275191311551
BaseRepresentation
bin11010010101110111…
…11010000110000000
31100111120220011000002
431022323322012000
5212430340322240
610255150415132
71010312016326
oct151273720600
940446804002
1014142120320
115aa7949349
1228a82014a8
131444bac343
1498230dd16
1557b857d15
hex34aefa180

14142120320 has 64 divisors (see below), whose sum is σ = 33829107840. Its totient is φ = 5653401600.

The previous prime is 14142120287. The next prime is 14142120383. The reversal of 14142120320 is 2302124141.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 14142120292 and 14142120301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1218545 + ... + 1230095.

It is an arithmetic number, because the mean of its divisors is an integer number (528579810).

Almost surely, 214142120320 is an apocalyptic number.

14142120320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14142120320 is an abundant number, since it is smaller than the sum of its proper divisors (19686987520).

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

14142120320 is a wasteful number, since it uses less digits than its factorization.

14142120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13483 (or 13471 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 14142120320 its reverse (2302124141), we get a palindrome (16444244461).

The spelling of 14142120320 in words is "fourteen billion, one hundred forty-two million, one hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 1913 3826 7652 9565 11551 15304 19130 23102 30608 38260 46204 57755 61216 76520 92408 115510 122432 153040 184816 231020 244864 306080 369632 462040 612160 739264 924080 1224320 1478528 1848160 3696320 7392640 22097063 44194126 88388252 110485315 176776504 220970630 353553008 441941260 707106016 883882520 1414212032 1767765040 2828424064 3535530080 7071060160 14142120320