Search a number
-
+
30540458816 = 267531286239
BaseRepresentation
bin11100011100010110…
…100110101101000000
32220211102021001111022
4130130112212231000
51000021324140231
622010300005012
72130551421350
oct343426465500
986742231438
1030540458816
1111a5232480a
125b03b30768
132b5934480a
14169a132b60
15bdb2d4c7b
hex71c5a6b40

30540458816 has 56 divisors (see below), whose sum is σ = 70568271360. Its totient is φ = 12841800192.

The previous prime is 30540458779. The next prime is 30540458831. The reversal of 30540458816 is 61885404503.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 619376 + ... + 666863.

Almost surely, 230540458816 is an apocalyptic number.

It is an amenable number.

30540458816 is an abundant number, since it is smaller than the sum of its proper divisors (40027812544).

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

30540458816 is a wasteful number, since it uses less digits than its factorization.

30540458816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286311 (or 1286301 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 44.

The spelling of 30540458816 in words is "thirty billion, five hundred forty million, four hundred fifty-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 212 224 371 424 448 742 848 1484 1696 2968 3392 5936 11872 23744 1286239 2572478 5144956 9003673 10289912 18007346 20579824 36014692 41159648 68170667 72029384 82319296 136341334 144058768 272682668 288117536 477194669 545365336 576235072 954389338 1090730672 1908778676 2181461344 3817557352 4362922688 7635114704 15270229408 30540458816