Search a number
-
+
40065153260 = 225113741120049
BaseRepresentation
bin100101010100000100…
…011011100011101100
310211102012122122222012
4211110010123203230
51124023134401020
630223343140352
72615565116666
oct452404334354
9124365578865
1040065153260
1115a9a809710
1279218a46b8
133a16714ca2
141d210cb536
1510975a67c5
hex95411b8ec

40065153260 has 96 divisors (see below), whose sum is σ = 96566299200. Its totient is φ = 13829529600.

The previous prime is 40065153259. The next prime is 40065153277. The reversal of 40065153260 is 6235156004.

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, 273716 + ... + 393764.

It is an arithmetic number, because the mean of its divisors is an integer number (1005898950).

Almost surely, 240065153260 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 40065153260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48283149600).

40065153260 is an abundant number, since it is smaller than the sum of its proper divisors (56501145940).

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

40065153260 is a wasteful number, since it uses less digits than its factorization.

40065153260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120147 (or 120145 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The spelling of 40065153260 in words is "forty billion, sixty-five million, one hundred fifty-three thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 37 41 44 55 74 82 110 148 164 185 205 220 370 407 410 451 740 814 820 902 1517 1628 1804 2035 2255 3034 4070 4510 6068 7585 8140 9020 15170 16687 30340 33374 66748 83435 120049 166870 240098 333740 480196 600245 1200490 1320539 2400980 2641078 4441813 4922009 5282156 6602695 8883626 9844018 13205390 17767252 19688036 22209065 24610045 26410780 44418130 48859943 49220090 54142099 88836260 97719886 98440180 108284198 182114333 195439772 216568396 244299715 270710495 364228666 488599430 541420990 728457332 910571665 977198860 1082841980 1821143330 2003257663 3642286660 4006515326 8013030652 10016288315 20032576630 40065153260