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14320623540 = 223517103136309
BaseRepresentation
bin11010101011001001…
…10101111110110100
31100222000210001101110
431111210311332310
5213312034423130
610325004355020
71014610202016
oct152544657664
940860701343
1014320623540
116089689473
122937b45a70
131472b7ab52
1499bcd81b6
1558c367ab0
hex355935fb4

14320623540 has 96 divisors (see below), whose sum is σ = 42868949760. Its totient is φ = 3559274496.

The previous prime is 14320623511. The next prime is 14320623599. The reversal of 14320623540 is 4532602341.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14320623498 and 14320623507.

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, 36906 + ... + 173214.

It is an arithmetic number, because the mean of its divisors is an integer number (446551560).

Almost surely, 214320623540 is an apocalyptic number.

14320623540 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 14320623540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21434474880).

14320623540 is an abundant number, since it is smaller than the sum of its proper divisors (28548326220).

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

14320623540 is a wasteful number, since it uses less digits than its factorization.

14320623540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136441 (or 136439 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 14320623540 in words is "fourteen billion, three hundred twenty million, six hundred twenty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 103 170 204 206 255 309 340 412 510 515 618 1020 1030 1236 1545 1751 2060 3090 3502 5253 6180 7004 8755 10506 17510 21012 26265 35020 52530 105060 136309 272618 408927 545236 681545 817854 1363090 1635708 2044635 2317253 2726180 4089270 4634506 6951759 8178540 9269012 11586265 13903518 14039827 23172530 27807036 28079654 34758795 42119481 46345060 56159308 69517590 70199135 84238962 139035180 140398270 168477924 210597405 238677059 280796540 421194810 477354118 716031177 842389620 954708236 1193385295 1432062354 2386770590 2864124708 3580155885 4773541180 7160311770 14320623540