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2414120628 = 2236116320233
BaseRepresentation
bin1000111111100100…
…1000111010110100
320020020121000221010
42033321020322310
514421003330003
61035314552220
7113552454363
oct21771107264
96206530833
102414120628
111029787617
12574598670
132c61c0c5a
1418c8977da
15e1e15003
hex8fe48eb4

2414120628 has 48 divisors (see below), whose sum is σ = 5760700736. Its totient is φ = 786620160.

The previous prime is 2414120627. The next prime is 2414120659. The reversal of 2414120628 is 8260214142.

It is a super-2 number, since 2×24141206282 = 11655956813070228768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2414120595 and 2414120604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2414120627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109200 + ... + 129432.

Almost surely, 22414120628 is an apocalyptic number.

It is an amenable number.

2414120628 is an abundant number, since it is smaller than the sum of its proper divisors (3346580108).

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

2414120628 is a wasteful number, since it uses less digits than its factorization.

2414120628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20464 (or 20462 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 2414120628 is about 49133.7015499545. The cubic root of 2414120628 is about 1341.4865488247.

The spelling of 2414120628 in words is "two billion, four hundred fourteen million, one hundred twenty thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 12 61 122 163 183 244 326 366 489 652 732 978 1956 9943 19886 20233 29829 39772 40466 59658 60699 80932 119316 121398 242796 1234213 2468426 3297979 3702639 4936852 6595958 7405278 9893937 13191916 14810556 19787874 39575748 201176719 402353438 603530157 804706876 1207060314 2414120628