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1145336016 = 243118924373
BaseRepresentation
bin100010001000100…
…0111000011010000
32221211011002122110
41010101013003100
54321201223031
6305352305320
740245124026
oct10421070320
92854132573
101145336016
1153856a9a0
1227b6a2240
13153395226
14ac180716
156a83dc46
hex444470d0

1145336016 has 80 divisors (see below), whose sum is σ = 3264166080. Its totient is φ = 343157760.

The previous prime is 1145336011. The next prime is 1145336033. The reversal of 1145336016 is 6106335411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145336011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34806 + ... + 59178.

It is an arithmetic number, because the mean of its divisors is an integer number (40802076).

Almost surely, 21145336016 is an apocalyptic number.

1145336016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1145336016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632083040).

1145336016 is an abundant number, since it is smaller than the sum of its proper divisors (2118830064).

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

1145336016 is a wasteful number, since it uses less digits than its factorization.

1145336016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24484 (or 24478 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 1145336016 is about 33842.8133582301. The cubic root of 1145336016 is about 1046.2712841657.

The spelling of 1145336016 in words is "one billion, one hundred forty-five million, three hundred thirty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 89 132 176 178 264 267 356 528 534 712 979 1068 1424 1958 2136 2937 3916 4272 5874 7832 11748 15664 23496 24373 46992 48746 73119 97492 146238 194984 268103 292476 389968 536206 584952 804309 1072412 1169904 1608618 2144824 2169197 3217236 4289648 4338394 6434472 6507591 8676788 12868944 13015182 17353576 23861167 26030364 34707152 47722334 52060728 71583501 95444668 104121456 143167002 190889336 286334004 381778672 572668008 1145336016