Search a number
-
+
14210631160 = 23511174146337
BaseRepresentation
bin11010011110000010…
…10000010111111000
31100200100210212012121
431033001100113320
5213100410144120
610310035051024
71012103241355
oct151701202770
940610725177
1014210631160
116032592580
122907140a74
1314561490bb
1498b46562c
1558288c5aa
hex34f0505f8

14210631160 has 128 divisors (see below), whose sum is σ = 37834050240. Its totient is φ = 4744806400.

The previous prime is 14210631133. The next prime is 14210631163. The reversal of 14210631160 is 6113601241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14210631163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283512 + ... + 329848.

Almost surely, 214210631160 is an apocalyptic number.

14210631160 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 14210631160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18917025120).

14210631160 is an abundant number, since it is smaller than the sum of its proper divisors (23623419080).

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

14210631160 is a wasteful number, since it uses less digits than its factorization.

14210631160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46417 (or 46413 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The spelling of 14210631160 in words is "fourteen billion, two hundred ten million, six hundred thirty-one thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 41 44 55 68 82 85 88 110 136 164 170 187 205 220 328 340 374 410 440 451 680 697 748 820 902 935 1394 1496 1640 1804 1870 2255 2788 3485 3608 3740 4510 5576 6970 7480 7667 9020 13940 15334 18040 27880 30668 38335 46337 61336 76670 92674 153340 185348 231685 306680 370696 463370 509707 787729 926740 1019414 1575458 1853480 1899817 2038828 2548535 3150916 3799634 3938645 4077656 5097070 6301832 7599268 7877290 8665019 9499085 10194140 15198536 15754580 17330038 18998170 20388280 20897987 31509160 32296889 34660076 37996340 41795974 43325095 64593778 69320152 75992680 83591948 86650190 104489935 129187556 161484445 167183896 173300380 208979870 258375112 322968890 346600760 355265779 417959740 645937780 710531558 835919480 1291875560 1421063116 1776328895 2842126232 3552657790 7105315580 14210631160