Search a number
-
+
40134827238740 = 225136716314134669
BaseRepresentation
bin10010010000000100111100…
…00111101110010101010100
312021002212000010011101121022
421020002132013232111110
520230032111233114430
6221205403551540312
711311434301466303
oct1110023607562524
9167085003141538
1040134827238740
11118740a2733103
12460249452a698
13195190c58ca80
149ca770b1443a
15498eeb75d4e5
hex24809e1ee554

40134827238740 has 96 divisors (see below), whose sum is σ = 92686345825920. Its totient is φ = 14508275544576.

The previous prime is 40134827238739. The next prime is 40134827238757. The reversal of 40134827238740 is 4783272843104.

It is a happy number.

It is a super-3 number, since 3×401348272387403 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 4227875 + ... + 9906794.

It is an arithmetic number, because the mean of its divisors is an integer number (965482769020).

Almost surely, 240134827238740 is an apocalyptic number.

It is an amenable number.

40134827238740 is an abundant number, since it is smaller than the sum of its proper divisors (52551518587180).

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

40134827238740 is a wasteful number, since it uses less digits than its factorization.

40134827238740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14134921 (or 14134919 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 53.

The spelling of 40134827238740 in words is "forty trillion, one hundred thirty-four billion, eight hundred twenty-seven million, two hundred thirty-eight thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 67 130 134 163 260 268 326 335 652 670 815 871 1340 1630 1742 2119 3260 3484 4238 4355 8476 8710 10595 10921 17420 21190 21842 42380 43684 54605 109210 141973 218420 283946 567892 709865 1419730 2839460 14134669 28269338 56538676 70673345 141346690 183750697 282693380 367501394 735002788 918753485 947022823 1837506970 1894045646 2303951047 3675013940 3788091292 4607902094 4735114115 9215804188 9470228230 11519755235 12311296699 18940456460 23039510470 24622593398 29951363611 46079020940 49245186796 59902727222 61556483495 119805454444 123112966990 149756818055 154364720149 246225933980 299513636110 308729440298 599027272220 617458880596 771823600745 1543647201490 2006741361937 3087294402980 4013482723874 8026965447748 10033706809685 20067413619370 40134827238740