Search a number
-
+
40311222320 = 24519231916037
BaseRepresentation
bin100101100010101111…
…000111000000110000
310212001100200021021002
4211202233013000300
51130024133103240
630304013221132
72624643510335
oct454257070060
9125040607232
1040311222320
11161066a7a76
1279901917a8
133a556ac395
141d45a6298c
1510adeb0d15
hex962bc7030

40311222320 has 160 divisors (see below), whose sum is σ = 103501946880. Its totient is φ = 14532756480.

The previous prime is 40311222319. The next prime is 40311222359. The reversal of 40311222320 is 2322211304.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 40311222292 and 40311222301.

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, 6674342 + ... + 6680378.

It is an arithmetic number, because the mean of its divisors is an integer number (646887168).

Almost surely, 240311222320 is an apocalyptic number.

40311222320 is a gapful number since it is divisible by the number (40) 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 40311222320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51750973440).

40311222320 is an abundant number, since it is smaller than the sum of its proper divisors (63190724560).

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

40311222320 is a wasteful number, since it uses less digits than its factorization.

40311222320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6283 (or 6277 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 40311222320 its reverse (2322211304), we get a palindrome (42633433624).

The spelling of 40311222320 in words is "forty billion, three hundred eleven million, two hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 23 38 40 46 76 80 92 95 115 152 184 190 191 230 304 368 380 382 437 460 760 764 874 920 955 1520 1528 1748 1840 1910 2185 3056 3496 3629 3820 4370 4393 6037 6992 7258 7640 8740 8786 12074 14516 15280 17480 17572 18145 21965 24148 29032 30185 34960 35144 36290 43930 48296 58064 60370 70288 72580 83467 87860 96592 114703 120740 138851 145160 166934 175720 229406 241480 277702 290320 333868 351440 417335 458812 482960 555404 573515 667736 694255 834670 917624 1110808 1147030 1153067 1335472 1388510 1669340 1835248 2221616 2294060 2306134 2638169 2777020 3338680 4588120 4612268 5276338 5554040 5765335 6677360 9176240 9224536 10552676 11108080 11530670 13190845 18449072 21105352 21908273 23061340 26381690 26520541 42210704 43816546 46122680 52763380 53041082 87633092 92245360 105526760 106082164 109541365 132602705 175266184 211053520 212164328 219082730 265205410 350532368 424328656 438165460 503890279 530410820 876330920 1007780558 1060821640 1752661840 2015561116 2121643280 2519451395 4031122232 5038902790 8062244464 10077805580 20155611160 40311222320