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20401424340 = 223511191161839
BaseRepresentation
bin10011000000000001…
…010000011111010100
31221122210212201220220
4103000001100133110
5313240231034330
613212225154340
71321365150153
oct230001203724
957583781826
1020401424340
11871a088080
123b5448b9b0
131c018c762b
14db773b59a
157e6111710
hex4c00507d4

20401424340 has 96 divisors (see below), whose sum is σ = 62643732480. Its totient is φ = 4919875200.

The previous prime is 20401424273. The next prime is 20401424359. The reversal of 20401424340 is 4342410402.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 20401424340.

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, 45141 + ... + 206979.

It is an arithmetic number, because the mean of its divisors is an integer number (652538880).

Almost surely, 220401424340 is an apocalyptic number.

20401424340 is a gapful number since it is divisible by the number (20) 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 20401424340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31321866240).

20401424340 is an abundant number, since it is smaller than the sum of its proper divisors (42242308140).

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

20401424340 is a wasteful number, since it uses less digits than its factorization.

20401424340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162053 (or 162051 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 20401424340 its reverse (4342410402), we get a palindrome (24743834742).

The spelling of 20401424340 in words is "twenty billion, four hundred one million, four hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 191 220 330 382 573 660 764 955 1146 1910 2101 2292 2865 3820 4202 5730 6303 8404 10505 11460 12606 21010 25212 31515 42020 63030 126060 161839 323678 485517 647356 809195 971034 1618390 1780229 1942068 2427585 3236780 3560458 4855170 5340687 7120916 8901145 9710340 10681374 17802290 21362748 26703435 30911249 35604580 53406870 61822498 92733747 106813740 123644996 154556245 185467494 309112490 340023739 370934988 463668735 618224980 680047478 927337470 1020071217 1360094956 1700118695 1854674940 2040142434 3400237390 4080284868 5100356085 6800474780 10200712170 20401424340