Search a number
-
+
40223352420 = 22325618941161
BaseRepresentation
bin100101011101011111…
…111010011001100100
310211211020100000102100
4211131133322121210
51124334134234140
630251154012100
72622525566016
oct453537723144
9124736300370
1040223352420
1116071041019
127966877030
133a40424b64
141d3810c1b6
1510a6405530
hex95d7fa664

40223352420 has 144 divisors (see below), whose sum is σ = 125407442160. Its totient is φ = 10431590400.

The previous prime is 40223352413. The next prime is 40223352439. The reversal of 40223352420 is 2425332204.

It is a happy number.

40223352420 is a `hidden beast` number, since 4 + 0 + 2 + 233 + 5 + 2 + 420 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6863791104 + 33359561316 = 82848^2 + 182646^2 .

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, 956640 + ... + 997800.

It is an arithmetic number, because the mean of its divisors is an integer number (870885015).

Almost surely, 240223352420 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 40223352420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62703721080).

40223352420 is an abundant number, since it is smaller than the sum of its proper divisors (85184089740).

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

40223352420 is a wasteful number, since it uses less digits than its factorization.

40223352420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41326 (or 41321 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 40223352420 its reverse (2425332204), we get a palindrome (42648684624).

The spelling of 40223352420 in words is "forty billion, two hundred twenty-three million, three hundred fifty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 89 90 122 178 180 183 244 267 305 356 366 445 534 549 610 732 801 890 915 1068 1098 1220 1335 1602 1780 1830 2196 2670 2745 3204 3660 4005 5340 5429 5490 8010 10858 10980 16020 16287 21716 27145 32574 41161 48861 54290 65148 81435 82322 97722 108580 123483 162870 164644 195444 205805 244305 246966 325740 370449 411610 488610 493932 617415 740898 823220 977220 1234830 1481796 1852245 2469660 2510821 3663329 3704490 5021642 7326658 7408980 7532463 10043284 10989987 12554105 14653316 15064926 18316645 21979974 22597389 25108210 30129852 32969961 36633290 37662315 43959948 45194778 50216420 54949935 65939922 73266580 75324630 90389556 109899870 112986945 131879844 150649260 164849805 219799740 223463069 225973890 329699610 446926138 451947780 659399220 670389207 893852276 1117315345 1340778414 2011167621 2234630690 2681556828 3351946035 4022335242 4469261380 6703892070 8044670484 10055838105 13407784140 20111676210 40223352420