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14231653100 = 225273834999
BaseRepresentation
bin11010100000100010…
…11100101011101100
31100201211100212212222
431100101130223230
5213121300344400
610312105414512
71012450025000
oct152021345354
940654325788
1014231653100
116043440685
12291219a438
13145a5c9712
14990178700
15584641185
hex35045caec

14231653100 has 144 divisors (see below), whose sum is σ = 36456000000. Its totient is φ = 4819671360.

The previous prime is 14231653099. The next prime is 14231653127. The reversal of 14231653100 is 135613241.

It is a super-2 number, since 2×142316531002 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14231653100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2844401 + ... + 2849399.

Almost surely, 214231653100 is an apocalyptic number.

14231653100 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 14231653100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18228000000).

14231653100 is an abundant number, since it is smaller than the sum of its proper divisors (22224346900).

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

14231653100 is a wasteful number, since it uses less digits than its factorization.

14231653100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5117 (or 5096 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The spelling of 14231653100 in words is "fourteen billion, two hundred thirty-one million, six hundred fifty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 83 98 100 140 166 175 196 245 332 343 350 415 490 581 686 700 830 980 1162 1225 1372 1660 1715 2075 2324 2450 2905 3430 4067 4150 4900 4999 5810 6860 8134 8300 8575 9998 11620 14525 16268 17150 19996 20335 24995 28469 29050 34300 34993 40670 49990 56938 58100 69986 81340 99980 101675 113876 124975 139972 142345 174965 203350 244951 249950 284690 349930 406700 414917 489902 499900 569380 699860 711725 829834 874825 979804 1224755 1423450 1659668 1714657 1749650 2074585 2449510 2846900 2904419 3429314 3499300 4149170 4899020 5808838 6123775 6858628 8298340 8573285 10372925 11617676 12247550 14522095 17146570 20330933 20745850 24495100 29044190 34293140 40661866 41491700 42866425 58088380 72610475 81323732 85732850 101654665 142316531 145220950 171465700 203309330 284633062 290441900 406618660 508273325 569266124 711582655 1016546650 1423165310 2033093300 2846330620 3557913275 7115826550 14231653100