Search a number
-
+
40320303104214 = 232717157371196141
BaseRepresentation
bin10010010101011110011010…
…10110000000000011010110
312021202120202020201121010100
421022233031112000003112
520241101440043313324
6221430520323234530
711331021461361630
oct1112571526000326
9167676666647110
1040320303104214
1111935820a55041
124632417b18a46
13196625a8179b3
149d5727c83a50
1549dc54a6a4c9
hex24abcd5800d6

40320303104214 has 96 divisors (see below), whose sum is σ = 105720541782336. Its totient is φ = 10841736407040.

The previous prime is 40320303104143. The next prime is 40320303104227. The reversal of 40320303104214 is 41240130302304.

40320303104214 is a `hidden beast` number, since 4 + 0 + 3 + 203 + 0 + 31 + 0 + 421 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33110584 + ... + 34306724.

It is an arithmetic number, because the mean of its divisors is an integer number (1101255643566).

Almost surely, 240320303104214 is an apocalyptic number.

40320303104214 is an abundant number, since it is smaller than the sum of its proper divisors (65400238678122).

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

40320303104214 is a wasteful number, since it uses less digits than its factorization.

40320303104214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211910 (or 1211907 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 40320303104214 its reverse (41240130302304), we get a palindrome (81560433406518).

The spelling of 40320303104214 in words is "forty trillion, three hundred twenty billion, three hundred three million, one hundred four thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 306 357 714 1071 2142 15737 31474 47211 94422 110159 141633 220318 267529 283266 330477 535058 660954 802587 991431 1196141 1605174 1872703 1982862 2392282 2407761 3588423 3745406 4815522 5618109 7176846 8372987 10765269 11236218 16745974 16854327 20334397 21530538 25118961 33708654 40668794 50237922 61003191 75356883 122006382 142340779 150713766 183009573 284681558 366019146 427022337 854044674 1281067011 2562134022 18823670917 37647341834 56471012751 112942025502 131765696419 169413038253 263531392838 320002405589 338826076506 395297089257 640004811178 790594178514 960007216767 1185891267771 1920014433534 2240016839123 2371782535542 2880021650301 4480033678246 5760043300602 6720050517369 13440101034738 20160151552107 40320303104214