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20401331340 = 223513531932557
BaseRepresentation
bin10011000000000000…
…111001110010001100
31221122210201000100110
4103000000321302030
5313240220100330
613212223200020
71321364312055
oct230000716214
957583630313
1020401331340
11871a024215
123b54446010
131c018941c0
14db771572c
157e60e3db0
hex4c0039c8c

20401331340 has 192 divisors, whose sum is σ = 63027974016. Its totient is φ = 4899667968.

The previous prime is 20401331297. The next prime is 20401331351. The reversal of 20401331340 is 4313310402.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7977342 + ... + 7979898.

It is an arithmetic number, because the mean of its divisors is an integer number (328270698).

Almost surely, 220401331340 is an apocalyptic number.

20401331340 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 20401331340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31513987008).

20401331340 is an abundant number, since it is smaller than the sum of its proper divisors (42626642676).

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

20401331340 is a wasteful number, since it uses less digits than its factorization.

20401331340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2828 (or 2826 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 20401331340 its reverse (4313310402), we get a palindrome (24714641742).

The spelling of 20401331340 in words is "twenty billion, four hundred one million, three hundred thirty-one thousand, three hundred forty".