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6442977144 = 233412159701
BaseRepresentation
bin1100000000000100…
…00000011101111000
3121122000121011002010
412000002000131320
5101143400232034
62543155205520
7315443254632
oct60002003570
917560534063
106442977144
1128069900aa
1212b98a68a0
137b8aa7016
1445199da52
1527a98a3e9
hex180080778

6442977144 has 48 divisors (see below), whose sum is σ = 16509992760. Its totient is φ = 2095264000.

The previous prime is 6442977091. The next prime is 6442977199. The reversal of 6442977144 is 4417792446.

It is a junction number, because it is equal to n+sod(n) for n = 6442977093 and 6442977102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39507 + ... + 120194.

Almost surely, 26442977144 is an apocalyptic number.

It is an amenable number.

6442977144 is an abundant number, since it is smaller than the sum of its proper divisors (10067015616).

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

6442977144 is a wasteful number, since it uses less digits than its factorization.

6442977144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159792 (or 159747 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 48.

The square root of 6442977144 is about 80268.1577214776. The cubic root of 6442977144 is about 1860.7821453298.

The spelling of 6442977144 in words is "six billion, four hundred forty-two million, nine hundred seventy-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 984 1681 3362 5043 6724 10086 13448 20172 40344 159701 319402 479103 638804 958206 1277608 1916412 3832824 6547741 13095482 19643223 26190964 39286446 52381928 78572892 157145784 268457381 536914762 805372143 1073829524 1610744286 2147659048 3221488572 6442977144