Search a number
-
+
1330345362024 = 233274675652193
BaseRepresentation
bin10011010110111110110…
…000110100001001101000
311201011212001111120020100
4103112332300310021220
5133244021403041044
62455052514025400
7165054124666530
oct23267660641150
94634761446210
101330345362024
11473218302888
121959b5b78260
13985b2bb0663
14485638144c0
152491301d869
hex135bec34268

1330345362024 has 96 divisors (see below), whose sum is σ = 4126553795520. Its totient is φ = 379284691968.

The previous prime is 1330345362007. The next prime is 1330345362113. The reversal of 1330345362024 is 4202635430331.

1330345362024 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 3 + 4 + 5 + 3 + 620 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1330345362024.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2590729 + ... + 3061464.

It is an arithmetic number, because the mean of its divisors is an integer number (42984935370).

Almost surely, 21330345362024 is an apocalyptic number.

1330345362024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1330345362024 is an abundant number, since it is smaller than the sum of its proper divisors (2796208433496).

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

1330345362024 is a wasteful number, since it uses less digits than its factorization.

1330345362024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5652679 (or 5652672 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The spelling of 1330345362024 in words is "one trillion, three hundred thirty billion, three hundred forty-five million, three hundred sixty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 467 504 934 1401 1868 2802 3269 3736 4203 5604 6538 8406 9807 11208 13076 16812 19614 26152 29421 33624 39228 58842 78456 117684 235368 5652193 11304386 16956579 22608772 33913158 39565351 45217544 50869737 67826316 79130702 101739474 118696053 135652632 158261404 203478948 237392106 316522808 356088159 406957896 474784212 712176318 949568424 1424352636 2639574131 2848705272 5279148262 7918722393 10558296524 15837444786 18477018917 21116593048 23756167179 31674889572 36954037834 47512334358 55431056751 63349779144 73908075668 95024668716 110862113502 147816151336 166293170253 190049337432 221724227004 332586340506 443448454008 665172681012 1330345362024