Search a number
-
+
14870281360 = 24511163103669
BaseRepresentation
bin11011101100101011…
…00111110010010000
31102101100001120011111
431312111213302100
5220423243000420
610455321423104
71034333206654
oct156625476220
942340046144
1014870281360
116340982530
122a7003aa94
13152c9cb66c
14a10cd8a64
155c073e45a
hex376567c90

14870281360 has 80 divisors (see below), whose sum is σ = 37948196160. Its totient is φ = 5374149120.

The previous prime is 14870281339. The next prime is 14870281373. The reversal of 14870281360 is 6318207841.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×148702813602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 91606 + ... + 195274.

It is an arithmetic number, because the mean of its divisors is an integer number (474352452).

Almost surely, 214870281360 is an apocalyptic number.

14870281360 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 14870281360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18974098080).

14870281360 is an abundant number, since it is smaller than the sum of its proper divisors (23077914800).

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

14870281360 is a wasteful number, since it uses less digits than its factorization.

14870281360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103856 (or 103850 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The spelling of 14870281360 in words is "fourteen billion, eight hundred seventy million, two hundred eighty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 163 176 220 326 440 652 815 880 1304 1630 1793 2608 3260 3586 6520 7172 8965 13040 14344 17930 28688 35860 71720 103669 143440 207338 414676 518345 829352 1036690 1140359 1658704 2073380 2280718 4146760 4561436 5701795 8293520 9122872 11403590 16898047 18245744 22807180 33796094 45614360 67592188 84490235 91228720 135184376 168980470 185878517 270368752 337960940 371757034 675921880 743514068 929392585 1351843760 1487028136 1858785170 2974056272 3717570340 7435140680 14870281360