Search a number
-
+
42417310260 = 223513160133967
BaseRepresentation
bin100111100000010001…
…001100101000110100
311001111010122121210010
4213200101030220310
51143332312412020
631253010100220
73031066121403
oct474021145064
9131433577703
1042417310260
1116a97514016
12827957a670
133cccb1c270
1420a565563a
151183d2bde0
hex9e044ca34

42417310260 has 96 divisors (see below), whose sum is σ = 127988163072. Its totient is φ = 10434355200.

The previous prime is 42417310253. The next prime is 42417310289. The reversal of 42417310260 is 6201371424.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1231797 + ... + 1265763.

It is an arithmetic number, because the mean of its divisors is an integer number (1333210032).

Almost surely, 242417310260 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42417310260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63994081536).

42417310260 is an abundant number, since it is smaller than the sum of its proper divisors (85570852812).

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

42417310260 is a wasteful number, since it uses less digits than its factorization.

42417310260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35593 (or 35591 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

Adding to 42417310260 its reverse (6201371424), we get a palindrome (48618681684).

The spelling of 42417310260 in words is "forty-two billion, four hundred seventeen million, three hundred ten thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1601 3202 4803 6404 8005 9606 16010 19212 20813 24015 32020 33967 41626 48030 62439 67934 83252 96060 101901 104065 124878 135868 169835 203802 208130 249756 312195 339670 407604 416260 441571 509505 624390 679340 883142 1019010 1248780 1324713 1766284 2038020 2207855 2649426 4415710 5298852 6623565 8831420 13247130 26494260 54381167 108762334 163143501 217524668 271905835 326287002 543811670 652574004 706955171 815717505 1087623340 1413910342 1631435010 2120865513 2827820684 3262870020 3534775855 4241731026 7069551710 8483462052 10604327565 14139103420 21208655130 42417310260