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14356063040 = 265114339419
BaseRepresentation
bin11010101111011000…
…00010001101000000
31101001111110120020112
431113230002031000
5213400123004130
610332312130452
71015520344124
oct152754021500
941044416215
1014356063040
1160a7694710
122947996a28
13147a308977
149a28c1584
15590518495
hex357b02340

14356063040 has 112 divisors (see below), whose sum is σ = 37383232320. Its totient is φ = 5207777280.

The previous prime is 14356062971. The next prime is 14356063063. The reversal of 14356063040 is 4036065341.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 14356062988 and 14356063006.

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, 1519451 + ... + 1528869.

It is an arithmetic number, because the mean of its divisors is an integer number (333778860).

Almost surely, 214356063040 is an apocalyptic number.

14356063040 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 14356063040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18691616160).

14356063040 is an abundant number, since it is smaller than the sum of its proper divisors (23027169280).

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

14356063040 is a wasteful number, since it uses less digits than its factorization.

14356063040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9880 (or 9870 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The spelling of 14356063040 in words is "fourteen billion, three hundred fifty-six million, sixty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 433 440 704 866 880 1732 1760 2165 3464 3520 4330 4763 6928 8660 9419 9526 13856 17320 18838 19052 23815 27712 34640 37676 38104 47095 47630 69280 75352 76208 94190 95260 103609 138560 150704 152416 188380 190520 207218 301408 304832 376760 381040 414436 518045 602816 753520 762080 828872 1036090 1507040 1524160 1657744 2072180 3014080 3315488 4078427 4144360 6630976 8156854 8288720 16313708 16577440 20392135 32627416 33154880 40784270 44862697 65254832 81568540 89725394 130509664 163137080 179450788 224313485 261019328 326274160 358901576 448626970 652548320 717803152 897253940 1305096640 1435606304 1794507880 2871212608 3589015760 7178031520 14356063040