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20400140032 = 283710919759
BaseRepresentation
bin10010111111111100…
…010110111100000000
31221122201110111011221
4102333330112330000
5313234413440112
613212141444424
71321351220626
oct227774267400
957581414157
1020400140032
118719390168
123b53b70714
131c01567b9c
14db74c5516
157e5e5ae07
hex4bff16f00

20400140032 has 72 divisors (see below), whose sum is σ = 42206964800. Its totient is φ = 9832845312.

The previous prime is 20400140021. The next prime is 20400140087. The reversal of 20400140032 is 23004100402.

It is a super-2 number, since 2×204001400322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 20400139988 and 20400140015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1022569 + ... + 1042327.

Almost surely, 220400140032 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 20400140032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21103482400).

20400140032 is an abundant number, since it is smaller than the sum of its proper divisors (21806824768).

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

20400140032 is a wasteful number, since it uses less digits than its factorization.

20400140032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19921 (or 19907 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 20400140032 its reverse (23004100402), we get a palindrome (43404240434).

The spelling of 20400140032 in words is "twenty billion, four hundred million, one hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 37 64 74 109 128 148 218 256 296 436 592 872 1184 1744 2368 3488 4033 4736 6976 8066 9472 13952 16132 19759 27904 32264 39518 64528 79036 129056 158072 258112 316144 516224 632288 731083 1032448 1264576 1462166 2153731 2529152 2924332 4307462 5058304 5848664 8614924 11697328 17229848 23394656 34459696 46789312 68919392 79688047 93578624 137838784 159376094 187157248 275677568 318752188 551355136 637504376 1275008752 2550017504 5100035008 10200070016 20400140032