Search a number
-
+
40351216302264 = 23374431608733703
BaseRepresentation
bin10010010110010111111111…
…11010011111100010111000
312021212112112122100202201110
421023023333322133202320
520242103242333133024
6221453032020320320
711333164520255520
oct1113137772374270
9167775478322643
1040351216302264
11119479447152aa
1246384048430a0
13196914614786a
149d701b6c2680
1549e96392b629
hex24b2ffe9f8b8

40351216302264 has 128 divisors (see below), whose sum is σ = 115560047370240. Its totient is φ = 11501837972352.

The previous prime is 40351216302247. The next prime is 40351216302277. The reversal of 40351216302264 is 46220361215304.

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, 1197242037 + ... + 1197275739.

It is an arithmetic number, because the mean of its divisors is an integer number (902812870080).

Almost surely, 240351216302264 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 40351216302264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57780023685120).

40351216302264 is an abundant number, since it is smaller than the sum of its proper divisors (75208831067976).

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

40351216302264 is a wasteful number, since it uses less digits than its factorization.

40351216302264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50249 (or 50245 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

Adding to 40351216302264 its reverse (46220361215304), we get a palindrome (86571577517568).

The spelling of 40351216302264 in words is "forty trillion, three hundred fifty-one billion, two hundred sixteen million, three hundred two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 443 886 1329 1772 2658 3101 3544 5316 6202 9303 10632 12404 16087 18606 24808 32174 33703 37212 48261 64348 67406 74424 96522 101109 112609 128696 134812 193044 202218 225218 235921 269624 337827 386088 404436 450436 471842 675654 707763 808872 900872 943684 1351308 1415526 1887368 2702616 2831052 5662104 7126541 14253082 14930429 21379623 28506164 29860858 42759246 44791287 49885787 57012328 59721716 85518492 89582574 99771574 104513003 119443432 149657361 171036984 179165148 199543148 209026006 299314722 313539009 358330296 399086296 418052012 542180161 598629444 627078018 836104024 1084360322 1197258888 1254156036 1626540483 2168720644 2508312072 3253080966 3795261127 4337441288 6506161932 7590522254 11385783381 13012323864 15181044508 22771566762 30362089016 45543133524 91086267048 240185811323 480371622646 720557433969 960743245292 1441114867938 1681300679261 1921486490584 2882229735876 3362601358522 5043902037783 5764459471752 6725202717044 10087804075566 13450405434088 20175608151132 40351216302264