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416244311540 = 22520812215577
BaseRepresentation
bin1100000111010100001…
…10000010010111110100
31110210101210002220012222
412003222012002113310
523304432020432130
6515115304101512
742033631161611
oct6035206022764
91423353086188
10416244311540
1115058a076062
1268807464898
1330336bc49c5
141620976d508
15ac62a9cce5
hex60ea1825f4

416244311540 has 12 divisors (see below), whose sum is σ = 874113054276. Its totient is φ = 166497724608.

The previous prime is 416244311537. The next prime is 416244311543. The reversal of 416244311540 is 45113442614.

It is an interprime number because it is at equal distance from previous prime (416244311537) and next prime (416244311543).

It can be written as a sum of positive squares in 2 ways, for example, as 309567606544 + 106676704996 = 556388^2 + 326614^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 416244311540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416244311543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10406107769 + ... + 10406107808.

It is an arithmetic number, because the mean of its divisors is an integer number (72842754523).

Almost surely, 2416244311540 is an apocalyptic number.

It is an amenable number.

416244311540 is an abundant number, since it is smaller than the sum of its proper divisors (457868742736).

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

416244311540 is a wasteful number, since it uses less digits than its factorization.

416244311540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20812215586 (or 20812215584 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The spelling of 416244311540 in words is "four hundred sixteen billion, two hundred forty-four million, three hundred eleven thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 20812215577 41624431154 83248862308 104061077885 208122155770 416244311540