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14940918240 = 253541759193
BaseRepresentation
bin11011110101000110…
…00101000111100000
31102120020222021202020
431322203011013200
5221044333340430
610510323421440
71036151465253
oct157243050740
942506867666
1014940918240
116377839016
122a8b824880
131541531031
14a1a44509a
155c6a43b10
hex37a8c51e0

14940918240 has 96 divisors (see below), whose sum is σ = 48211855776. Its totient is φ = 3887063040.

The previous prime is 14940918133. The next prime is 14940918287. The reversal of 14940918240 is 4281904941.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 14940918192 and 14940918201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 359917 + ... + 399276.

It is an arithmetic number, because the mean of its divisors is an integer number (502206831).

Almost surely, 214940918240 is an apocalyptic number.

14940918240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14940918240 is an abundant number, since it is smaller than the sum of its proper divisors (33270937536).

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

14940918240 is a wasteful number, since it uses less digits than its factorization.

14940918240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759252 (or 759244 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 14940918240 in words is "fourteen billion, nine hundred forty million, nine hundred eighteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 80 82 96 120 123 160 164 205 240 246 328 410 480 492 615 656 820 984 1230 1312 1640 1968 2460 3280 3936 4920 6560 9840 19680 759193 1518386 2277579 3036772 3795965 4555158 6073544 7591930 9110316 11387895 12147088 15183860 18220632 22775790 24294176 30367720 31126913 36441264 45551580 60735440 62253826 72882528 91103160 93380739 121470880 124507652 155634565 182206320 186761478 249015304 311269130 364412640 373522956 466903695 498030608 622538260 747045912 933807390 996061216 1245076520 1494091824 1867614780 2490153040 2988183648 3735229560 4980306080 7470459120 14940918240