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14752638040 = 2357414193067
BaseRepresentation
bin11011011110101001…
…10110010001011000
31102002010200122212111
431233110312101120
5220203133404130
610435520122104
71031404232350
oct155724662130
942063618774
1014752638040
116290530348
122a38766334
13151151b32a
149dd433b60
155b525202a
hex36f536458

14752638040 has 128 divisors (see below), whose sum is σ = 38966054400. Its totient is φ = 4921297920.

The previous prime is 14752638013. The next prime is 14752638079. The reversal of 14752638040 is 4083625741.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 14752637984 and 14752638002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4808587 + ... + 4811653.

It is an arithmetic number, because the mean of its divisors is an integer number (304422300).

Almost surely, 214752638040 is an apocalyptic number.

14752638040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14752638040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19483027200).

14752638040 is an abundant number, since it is smaller than the sum of its proper divisors (24213416360).

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

14752638040 is a wasteful number, since it uses less digits than its factorization.

14752638040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3545 (or 3541 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 14752638040 in words is "fourteen billion, seven hundred fifty-two million, six hundred thirty-eight thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 56 70 82 140 164 205 280 287 328 410 419 574 820 838 1148 1435 1640 1676 2095 2296 2870 2933 3067 3352 4190 5740 5866 6134 8380 11480 11732 12268 14665 15335 16760 17179 21469 23464 24536 29330 30670 34358 42938 58660 61340 68716 85876 85895 107345 117320 120253 122680 125747 137432 171752 171790 214690 240506 251494 343580 429380 481012 502988 601265 628735 687160 858760 880229 962024 1005976 1202530 1257470 1285073 1760458 2405060 2514940 2570146 3520916 4401145 4810120 5029880 5140292 6425365 7041832 8802290 8995511 10280584 12850730 17604580 17991022 25701460 35209160 35982044 44977555 51402920 52687993 71964088 89955110 105375986 179910220 210751972 263439965 359820440 368815951 421503944 526879930 737631902 1053759860 1475263804 1844079755 2107519720 2950527608 3688159510 7376319020 14752638040