Search a number
-
+
40937539968 = 273413303727
BaseRepresentation
bin100110001000000100…
…010100100110000000
310220200000012111120000
4212020010110212000
51132320002234333
630450105320000
72646320230323
oct461004244600
9126600174500
1040937539968
11163a81a0766
127b25a96000
133b25390b40
141da4cda7ba
1510e8e7b713
hex988114980

40937539968 has 160 divisors (see below), whose sum is σ = 131201384160. Its totient is φ = 12596124672.

The previous prime is 40937539927. The next prime is 40937539999. The reversal of 40937539968 is 86993573904.

40937539968 is a `hidden beast` number, since 4 + 0 + 9 + 3 + 7 + 539 + 96 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17080 + ... + 286647.

It is an arithmetic number, because the mean of its divisors is an integer number (820008651).

Almost surely, 240937539968 is an apocalyptic number.

40937539968 is a gapful number since it is divisible by the number (48) 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 40937539968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65600692080).

40937539968 is an abundant number, since it is smaller than the sum of its proper divisors (90263844192).

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

40937539968 is a wasteful number, since it uses less digits than its factorization.

40937539968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303766 (or 303745 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 40937539968 in words is "forty billion, nine hundred thirty-seven million, five hundred thirty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 128 144 156 162 192 208 216 234 288 312 324 351 384 416 432 468 576 624 648 702 832 864 936 1053 1152 1248 1296 1404 1664 1728 1872 2106 2496 2592 2808 3456 3744 4212 4992 5184 5616 7488 8424 10368 11232 14976 16848 22464 33696 44928 67392 134784 303727 607454 911181 1214908 1822362 2429816 2733543 3644724 3948451 4859632 5467086 7289448 7896902 8200629 9719264 10934172 11845353 14578896 15793804 16401258 19438528 21868344 23690706 24601887 29157792 31587608 32802516 35536059 38877056 43736688 47381412 49203774 58315584 63175216 65605032 71072118 87473376 94762824 98407548 106608177 116631168 126350432 131210064 142144236 174946752 189525648 196815096 213216354 252700864 262420128 284288472 319824531 349893504 379051296 393630192 426432708 505401728 524840256 568576944 639649062 758102592 787260384 852865416 1049680512 1137153888 1279298124 1516205184 1574520768 1705730832 2274307776 2558596248 3149041536 3411461664 4548615552 5117192496 6822923328 10234384992 13645846656 20468769984 40937539968