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14249224880 = 2451164125261
BaseRepresentation
bin11010100010101000…
…11110101010110000
31100210001102121211122
431101110132222300
5213140300144010
610313534201412
71013052261452
oct152124365260
940701377748
1014249224880
116052352610
122918053268
13146113c817
149926302d2
15585e62855
hex35151eab0

14249224880 has 80 divisors (see below), whose sum is σ = 36199031328. Its totient is φ = 5173248000.

The previous prime is 14249224877. The next prime is 14249224901. The reversal of 14249224880 is 8842294241.

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

It is a super-2 number, since 2×142492248802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 551450 + ... + 576710.

Almost surely, 214249224880 is an apocalyptic number.

14249224880 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 14249224880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18099515664).

14249224880 is an abundant number, since it is smaller than the sum of its proper divisors (21949806448).

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

14249224880 is a wasteful number, since it uses less digits than its factorization.

14249224880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25926 (or 25920 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 44.

The spelling of 14249224880 in words is "fourteen billion, two hundred forty-nine million, two hundred twenty-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 641 880 1282 2564 3205 5128 6410 7051 10256 12820 14102 25261 25640 28204 35255 50522 51280 56408 70510 101044 112816 126305 141020 202088 252610 277871 282040 404176 505220 555742 564080 1010440 1111484 1389355 2020880 2222968 2778710 4445936 5557420 11114840 16192301 22229680 32384602 64769204 80961505 129538408 161923010 178115311 259076816 323846020 356230622 647692040 712461244 890576555 1295384080 1424922488 1781153110 2849844976 3562306220 7124612440 14249224880