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9804316140 = 223552278887
BaseRepresentation
bin10010010000110000…
…11111110111101100
3221022021112212100000
421020120133313230
5130034401104030
64300512304300
7464650212033
oct111030376754
927267485300
109804316140
11418130a913
121a97542090
13c032b48c8
1469018571a
153c5b07860
hex24861fdec

9804316140 has 144 divisors (see below), whose sum is σ = 30980581632. Its totient is φ = 2602673856.

The previous prime is 9804316139. The next prime is 9804316147. The reversal of 9804316140 is 416134089.

9804316140 is a `hidden beast` number, since 9 + 8 + 0 + 4 + 31 + 614 + 0 = 666.

It is a super-2 number, since 2×98043161402 (a number of 21 digits) contains 22 as substring.

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 = 9804316095 and 9804316104.

It is not an unprimeable number, because it can be changed into a prime (9804316147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1098777 + ... + 1107663.

It is an arithmetic number, because the mean of its divisors is an integer number (215142928).

Almost surely, 29804316140 is an apocalyptic number.

9804316140 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 9804316140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15490290816).

9804316140 is an abundant number, since it is smaller than the sum of its proper divisors (21176265492).

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

9804316140 is a wasteful number, since it uses less digits than its factorization.

9804316140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9138 (or 9124 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 9804316140 is about 99016.7467653831. The cubic root of 9804316140 is about 2140.2890793575.

The spelling of 9804316140 in words is "nine billion, eight hundred four million, three hundred sixteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 227 243 270 324 405 454 486 540 681 810 908 972 1135 1215 1362 1620 2043 2270 2430 2724 3405 4086 4540 4860 6129 6810 8172 8887 10215 12258 13620 17774 18387 20430 24516 26661 30645 35548 36774 40860 44435 53322 55161 61290 73548 79983 88870 91935 106644 110322 122580 133305 159966 177740 183870 220644 239949 266610 275805 319932 367740 399915 479898 533220 551610 719847 799830 959796 1103220 1199745 1439694 1599660 2017349 2159541 2399490 2879388 3599235 4034698 4319082 4798980 6052047 7198470 8069396 8638164 10086745 10797705 12104094 14396940 18156141 20173490 21595410 24208188 30260235 36312282 40346980 43190820 54468423 60520470 72624564 90780705 108936846 121040940 163405269 181561410 217873692 272342115 326810538 363122820 490215807 544684230 653621076 817026345 980431614 1089368460 1634052690 1960863228 2451079035 3268105380 4902158070 9804316140