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20401020040 = 2353779174487
BaseRepresentation
bin10010111111111111…
…101101110010001000
31221122210010012022211
4102333333231302020
5313240130120130
613212212354504
71321361544352
oct227777556210
957583105284
1020401020040
118719931345
123b54315a34
131c017b55bb
14db76740d2
157e6081a2a
hex4bffedc88

20401020040 has 64 divisors (see below), whose sum is σ = 47739916800. Its totient is φ = 7839307008.

The previous prime is 20401020037. The next prime is 20401020083. The reversal of 20401020040 is 4002010402.

It is a self number, because there is not a number n which added to its sum of digits gives 20401020040.

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, 29677 + ... + 204163.

It is an arithmetic number, because the mean of its divisors is an integer number (745936200).

Almost surely, 220401020040 is an apocalyptic number.

20401020040 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 20401020040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23869958400).

20401020040 is an abundant number, since it is smaller than the sum of its proper divisors (27338896760).

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

20401020040 is a wasteful number, since it uses less digits than its factorization.

20401020040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174614 (or 174610 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 20401020040 its reverse (4002010402), we get a palindrome (24403030442).

The spelling of 20401020040 in words is "twenty billion, four hundred one million, twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 79 148 158 185 296 316 370 395 632 740 790 1480 1580 2923 3160 5846 11692 14615 23384 29230 58460 116920 174487 348974 697948 872435 1395896 1744870 3489740 6456019 6979480 12912038 13784473 25824076 27568946 32280095 51648152 55137892 64560190 68922365 110275784 129120380 137844730 258240760 275689460 510025501 551378920 1020051002 2040102004 2550127505 4080204008 5100255010 10200510020 20401020040