Search a number
-
+
41003653020 = 223511197931393
BaseRepresentation
bin100110001100000000…
…100001011110011100
310220211121121101121120
4212030000201132130
51132433413344040
630500430330540
72651052204621
oct461400413634
9126747541546
1041003653020
1116431547450
127b44059a50
133b35c9b3a5
141dad9ca348
1510eeb8a7d0
hex98c02179c

41003653020 has 96 divisors (see below), whose sum is σ = 125314801920. Its totient is φ = 9934940160.

The previous prime is 41003652997. The next prime is 41003653139. The reversal of 41003653020 is 2035630014.

It is a happy number.

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, 1290444 + ... + 1321836.

It is an arithmetic number, because the mean of its divisors is an integer number (1305362520).

Almost surely, 241003653020 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 41003653020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62657400960).

41003653020 is an abundant number, since it is smaller than the sum of its proper divisors (84311148900).

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

41003653020 is a wasteful number, since it uses less digits than its factorization.

41003653020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33395 (or 33393 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The spelling of 41003653020 in words is "forty-one billion, three million, six hundred fifty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1979 3958 5937 7916 9895 11874 19790 21769 23748 29685 31393 39580 43538 59370 62786 65307 87076 94179 108845 118740 125572 130614 156965 188358 217690 261228 313930 326535 345323 376716 435380 470895 627860 653070 690646 941790 1035969 1306140 1381292 1726615 1883580 2071938 3453230 4143876 5179845 6906460 10359690 20719380 62126747 124253494 186380241 248506988 310633735 372760482 621267470 683394217 745520964 931901205 1242534940 1366788434 1863802410 2050182651 2733576868 3416971085 3727604820 4100365302 6833942170 8200730604 10250913255 13667884340 20501826510 41003653020