Search a number
-
+
2073440420040 = 233511219233183127
BaseRepresentation
bin11110001011000010101…
…011100000000011001000
321100012220121221201220010
4132023002223200003020
5232432401221420130
64224305252031520
7302541533526603
oct36130253400310
97305817851803
102073440420040
1172a383076400
12295a1b0025a0
131206a86b7612
14724d839533a
1538e0567c0b0
hex1e2c2ae00c8

2073440420040 has 1536 divisors, whose sum is σ = 7907416473600. Its totient is φ = 432059443200.

The previous prime is 2073440420011. The next prime is 2073440420069. The reversal of 2073440420040 is 400240443702.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2073440420011) and next prime (2073440420069).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 16326302457 + ... + 16326302583.

It is an arithmetic number, because the mean of its divisors is an integer number (5148057600).

Almost surely, 22073440420040 is an apocalyptic number.

2073440420040 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 2073440420040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3953708236800).

2073440420040 is an abundant number, since it is smaller than the sum of its proper divisors (5833976053560).

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

2073440420040 is a wasteful number, since it uses less digits than its factorization.

2073440420040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 30.

Adding to 2073440420040 its reverse (400240443702), we get a palindrome (2473680863742).

The spelling of 2073440420040 in words is "two trillion, seventy-three billion, four hundred forty million, four hundred twenty thousand, forty".