Search a number
-
+
40211355540 = 22352234636491
BaseRepresentation
bin100101011100110010…
…001001011110010100
310211210101202111210110
4211130302021132110
51124323101334130
630250044523020
72622321611466
oct453462113624
9124711674713
1040211355540
1116065297644
127962850470
133a3aab4405
141d366a8136
1510a5335ab0
hex95cc89794

40211355540 has 96 divisors (see below), whose sum is σ = 113358422016. Its totient is φ = 10650245760.

The previous prime is 40211355497. The next prime is 40211355553. The reversal of 40211355540 is 4555311204.

It is a super-2 number, since 2×402113555402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 40211355498 and 40211355507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6191695 + ... + 6198185.

It is an arithmetic number, because the mean of its divisors is an integer number (1180816896).

Almost surely, 240211355540 is an apocalyptic number.

It is an amenable number.

40211355540 is an abundant number, since it is smaller than the sum of its proper divisors (73147066476).

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

40211355540 is a wasteful number, since it uses less digits than its factorization.

40211355540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7189 (or 7187 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 40211355540 its reverse (4555311204), we get a palindrome (44766666744).

The spelling of 40211355540 in words is "forty billion, two hundred eleven million, three hundred fifty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 223 446 463 669 892 926 1115 1338 1389 1852 2230 2315 2676 2778 3345 4460 4630 5556 6491 6690 6945 9260 12982 13380 13890 19473 25964 27780 32455 38946 64910 77892 97365 103249 129820 194730 206498 309747 389460 412996 516245 619494 1032490 1238988 1447493 1548735 2064980 2894986 3005333 3097470 4342479 5789972 6010666 6194940 7237465 8684958 9015999 12021332 14474930 15026665 17369916 18031998 21712395 28949860 30053330 36063996 43424790 45079995 60106660 86849580 90159990 180319980 670189259 1340378518 2010567777 2680757036 3350946295 4021135554 6701892590 8042271108 10052838885 13403785180 20105677770 40211355540