Search a number
-
+
14183690240 = 21251740739
BaseRepresentation
bin11010011010110100…
…11111000000000000
31100121111010010012202
431031122133000000
5213022011041430
610303233412332
71011325243406
oct151532370000
940544103182
1014183690240
116019361455
1228ba10a0a8
1314506a5625
14987a51476
15580319d45
hex34d69f000

14183690240 has 104 divisors (see below), whose sum is σ = 36039744720. Its totient is φ = 5339611136.

The previous prime is 14183690179. The next prime is 14183690251. The reversal of 14183690240 is 4209638141.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 14183690194 and 14183690203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 327791 + ... + 368529.

Almost surely, 214183690240 is an apocalyptic number.

14183690240 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 14183690240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18019872360).

14183690240 is an abundant number, since it is smaller than the sum of its proper divisors (21856054480).

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

14183690240 is an equidigital number, since it uses as much as digits as its factorization.

14183690240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40785 (or 40763 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The spelling of 14183690240 in words is "fourteen billion, one hundred eighty-three million, six hundred ninety thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 512 544 640 680 1024 1088 1280 1360 2048 2176 2560 2720 4096 4352 5120 5440 8704 10240 10880 17408 20480 21760 34816 40739 43520 69632 81478 87040 162956 174080 203695 325912 348160 407390 651824 692563 814780 1303648 1385126 1629560 2607296 2770252 3259120 3462815 5214592 5540504 6518240 6925630 10429184 11081008 13036480 13851260 20858368 22162016 26072960 27702520 41716736 44324032 52145920 55405040 83433472 88648064 104291840 110810080 166866944 177296128 208583680 221620160 354592256 417167360 443240320 709184512 834334720 886480640 1418369024 1772961280 2836738048 3545922560 7091845120 14183690240