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14084875440 = 2432529674563
BaseRepresentation
bin11010001111000011…
…00010010010110000
31100100121011210210100
431013201202102300
5212321212003230
610245343432400
71006015315536
oct150741422260
940317153710
1014084875440
115a785aa429
122890bb5700
13143608842c
1497888c156
155767eb660
hex3478624b0

14084875440 has 120 divisors (see below), whose sum is σ = 48932872560. Its totient is φ = 3626445312.

The previous prime is 14084875439. The next prime is 14084875457. The reversal of 14084875440 is 4457848041.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 316402 + ... + 358161.

It is an arithmetic number, because the mean of its divisors is an integer number (407773938).

Almost surely, 214084875440 is an apocalyptic number.

14084875440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14084875440 is an abundant number, since it is smaller than the sum of its proper divisors (34847997120).

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

14084875440 is a wasteful number, since it uses less digits than its factorization.

14084875440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674611 (or 674602 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 14084875440 in words is "fourteen billion, eighty-four million, eight hundred seventy-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 36 40 45 48 58 60 72 80 87 90 116 120 144 145 174 180 232 240 261 290 348 360 435 464 522 580 696 720 870 1044 1160 1305 1392 1740 2088 2320 2610 3480 4176 5220 6960 10440 20880 674563 1349126 2023689 2698252 3372815 4047378 5396504 6071067 6745630 8094756 10118445 10793008 12142134 13491260 16189512 19562327 20236890 24284268 26982520 30355335 32379024 39124654 40473780 48568536 53965040 58686981 60710670 78249308 80947560 97137072 97811635 117373962 121421340 156498616 161895120 176060943 195623270 234747924 242842680 293434905 312997232 352121886 391246540 469495848 485685360 586869810 704243772 782493080 880304715 938991696 1173739620 1408487544 1564986160 1760609430 2347479240 2816975088 3521218860 4694958480 7042437720 14084875440