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20400200040 = 23351115454697
BaseRepresentation
bin10010111111111100…
…100101100101101000
31221122201120112111110
4102333330211211220
5313234422400130
613212143030320
71321351560603
oct227774454550
957581515443
1020400200040
118719421260
123b53b9b3a0
131c015892ac
14db74dd33a
157e5e6dab0
hex4bff25968

20400200040 has 64 divisors (see below), whose sum is σ = 66764295360. Its totient is φ = 4945502720.

The previous prime is 20400200033. The next prime is 20400200081. The reversal of 20400200040 is 4000200402.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 20400199989 and 20400200025.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7726029 + ... + 7728668.

It is an arithmetic number, because the mean of its divisors is an integer number (1043192115).

Almost surely, 220400200040 is an apocalyptic number.

20400200040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20400200040 is an abundant number, since it is smaller than the sum of its proper divisors (46364095320).

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

20400200040 is a wasteful number, since it uses less digits than its factorization.

20400200040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15454722 (or 15454718 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 20400200040 its reverse (4000200402), we get a palindrome (24400400442).

The spelling of 20400200040 in words is "twenty billion, four hundred million, two hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 15454697 30909394 46364091 61818788 77273485 92728182 123637576 154546970 170001667 185456364 231820455 309093940 340003334 370912728 463640910 510005001 618187880 680006668 850008335 927281820 1020010002 1360013336 1700016670 1854563640 2040020004 2550025005 3400033340 4080040008 5100050010 6800066680 10200100020 20400200040