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9114770340 = 223251313732837
BaseRepresentation
bin10000111110100100…
…00101101110100100
3212112020001022022200
420133102011232210
5122131340122330
64104241054500
7441605161314
oct103722055644
925466038280
109114770340
113958060955
121924627430
13b23495a40
1462676d444
153852eca60
hex21f485ba4

9114770340 has 144 divisors (see below), whose sum is σ = 29807105328. Its totient is φ = 2241211392.

The previous prime is 9114770339. The next prime is 9114770363. The reversal of 9114770340 is 430774119.

It can be written as a sum of positive squares in 8 ways, for example, as 462422016 + 8652348324 = 21504^2 + 93018^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 9114770295 and 9114770304.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3211402 + ... + 3214238.

It is an arithmetic number, because the mean of its divisors is an integer number (206993787).

Almost surely, 29114770340 is an apocalyptic number.

9114770340 is a gapful number since it is divisible by the number (90) 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 9114770340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14903552664).

9114770340 is an abundant number, since it is smaller than the sum of its proper divisors (20692334988).

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

9114770340 is a wasteful number, since it uses less digits than its factorization.

9114770340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4238 (or 4233 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 9114770340 is about 95471.3063700293. The cubic root of 9114770340 is about 2088.8884254920. Note that the first 3 decimals are identical.

The spelling of 9114770340 in words is "nine billion, one hundred fourteen million, seven hundred seventy thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 1373 2340 2746 2837 4119 5492 5674 6865 8238 8511 11348 12357 13730 14185 16476 17022 17849 20595 24714 25533 27460 28370 34044 35698 36881 41190 42555 49428 51066 53547 56740 61785 71396 73762 82380 85110 89245 102132 107094 110643 123570 127665 147524 160641 170220 178490 184405 214188 221286 247140 255330 267735 321282 331929 356980 368810 442572 510660 535470 553215 642564 663858 737620 803205 1070940 1106430 1327716 1606410 1659645 2212860 3212820 3319290 3895201 6638580 7790402 11685603 15580804 19476005 23371206 35056809 38952010 46742412 50637613 58428015 70113618 77904020 101275226 116856030 140227236 151912839 175284045 202550452 233712060 253188065 303825678 350568090 455738517 506376130 607651356 701136180 759564195 911477034 1012752260 1519128390 1822954068 2278692585 3038256780 4557385170 9114770340