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2314210944 = 27319317189
BaseRepresentation
bin1000100111110000…
…0000111010000000
312222021121002121110
42021330000322000
514214414222234
61021345323320
7111230316453
oct21174007200
95867532543
102314210944
11a88347a31
12547036540
132ab5ac5b6
1417d4cb49a
15d827c1e9
hex89f00e80

2314210944 has 64 divisors (see below), whose sum is σ = 6470676000. Its totient is φ = 730801152.

The previous prime is 2314210931. The next prime is 2314210961. The reversal of 2314210944 is 4490124132.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×23142109442 = 10711144586658742272, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151299 + ... + 165890.

Almost surely, 22314210944 is an apocalyptic number.

2314210944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2314210944 is an abundant number, since it is smaller than the sum of its proper divisors (4156465056).

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

2314210944 is a wasteful number, since it uses less digits than its factorization.

2314210944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317225 (or 317213 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 2314210944 is about 48106.2464135376. The cubic root of 2314210944 is about 1322.7191697493.

The spelling of 2314210944 in words is "two billion, three hundred fourteen million, two hundred ten thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3648 7296 317189 634378 951567 1268756 1903134 2537512 3806268 5075024 6026591 7612536 10150048 12053182 15225072 18079773 20300096 24106364 30450144 36159546 40600192 48212728 60900288 72319092 96425456 121800576 144638184 192850912 289276368 385701824 578552736 771403648 1157105472 2314210944