Search a number
-
+
231318420440 = 23547433284161
BaseRepresentation
bin1101011101101110100…
…1101111101111011000
3211010001222102021201012
43113123221233233120
512242220003423230
6254133300313052
722466200063142
oct3273351575730
9733058367635
10231318420440
118a113243aa8
12389b80a2788
1318a7589b6c3
14b2a5683c92
15603cbcb395
hex35dba6fbd8

231318420440 has 64 divisors (see below), whose sum is σ = 532769650560. Its totient is φ = 90349240320.

The previous prime is 231318420427. The next prime is 231318420451. The reversal of 231318420440 is 44024813132.

231318420440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 231318420397 and 231318420406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 671960 + ... + 956120.

It is an arithmetic number, because the mean of its divisors is an integer number (8324525790).

Almost surely, 2231318420440 is an apocalyptic number.

231318420440 is a gapful number since it is divisible by the number (20) 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 231318420440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266384825280).

231318420440 is an abundant number, since it is smaller than the sum of its proper divisors (301451230120).

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

231318420440 is a wasteful number, since it uses less digits than its factorization.

231318420440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284652 (or 284648 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 231318420440 in words is "two hundred thirty-one billion, three hundred eighteen million, four hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 433 470 866 940 1732 1880 2165 3464 4330 8660 17320 20351 40702 81404 101755 162808 203510 284161 407020 568322 814040 1136644 1420805 2273288 2841610 5683220 11366440 13355567 26711134 53422268 66777835 106844536 123041713 133555670 246083426 267111340 492166852 534222680 615208565 984333704 1230417130 2460834260 4921668520 5782960511 11565921022 23131842044 28914802555 46263684088 57829605110 115659210220 231318420440