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14213676840 = 23351179136303
BaseRepresentation
bin11010011110011001…
…10111111100101000
31100200120112121002120
431033030313330220
5213102200124330
610310224231240
71012141155036
oct151714677450
940616477076
1014213676840
116034282870
12290816b520
13145697448c
1498ba19556
15582c8ec10
hex34f337f28

14213676840 has 128 divisors (see below), whose sum is σ = 47106662400. Its totient is φ = 3402097920.

The previous prime is 14213676821. The next prime is 14213676853. The reversal of 14213676840 is 4867631241.

It is a junction number, because it is equal to n+sod(n) for n = 14213676792 and 14213676801.

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, 36129 + ... + 172431.

It is an arithmetic number, because the mean of its divisors is an integer number (368020800).

Almost surely, 214213676840 is an apocalyptic number.

14213676840 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 14213676840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23553331200).

14213676840 is an abundant number, since it is smaller than the sum of its proper divisors (32892985560).

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

14213676840 is a wasteful number, since it uses less digits than its factorization.

14213676840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136407 (or 136403 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 14213676840 in words is "fourteen billion, two hundred thirteen million, six hundred seventy-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 79 88 110 120 132 158 165 220 237 264 316 330 395 440 474 632 660 790 869 948 1185 1320 1580 1738 1896 2370 2607 3160 3476 4345 4740 5214 6952 8690 9480 10428 13035 17380 20856 26070 34760 52140 104280 136303 272606 408909 545212 681515 817818 1090424 1363030 1499333 1635636 2044545 2726060 2998666 3271272 4089090 4497999 5452120 5997332 7496665 8178180 8995998 10767937 11994664 14993330 16356360 17991996 21535874 22489995 29986660 32303811 35983992 43071748 44979990 53839685 59973320 64607622 86143496 89959980 107679370 118447307 129215244 161519055 179919960 215358740 236894614 258430488 323038110 355341921 430717480 473789228 592236535 646076220 710683842 947578456 1184473070 1292152440 1421367684 1776709605 2368946140 2842735368 3553419210 4737892280 7106838420 14213676840