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1461374116020 = 2233571337978467
BaseRepresentation
bin10101010001000000101…
…011110110000010110100
312011201001200012221001000
4111101000223312002310
5142420343233203040
63035202423003300
7210403133013630
oct25210053660264
95151050187030
101461374116020
11513846655025
121b7283299530
13a7a64c4c160
1450a33793dc0
1528031343130
hex15440af60b4

1461374116020 has 384 divisors, whose sum is σ = 5610524774400. Its totient is φ = 307516414464.

The previous prime is 1461374116019. The next prime is 1461374116031. The reversal of 1461374116020 is 206114731641.

1461374116020 is a `hidden beast` number, since 1 + 4 + 6 + 1 + 3 + 7 + 41 + 1 + 602 + 0 = 666.

It is a super-2 number, since 2×14613741160202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 18584827 + ... + 18663293.

It is an arithmetic number, because the mean of its divisors is an integer number (14610741600).

Almost surely, 21461374116020 is an apocalyptic number.

1461374116020 is a gapful number since it is divisible by the number (10) 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 1461374116020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2805262387200).

1461374116020 is an abundant number, since it is smaller than the sum of its proper divisors (4149150658380).

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

1461374116020 is a wasteful number, since it uses less digits than its factorization.

1461374116020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78884 (or 78876 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 1461374116020 its reverse (206114731641), we get a palindrome (1667488847661).

The spelling of 1461374116020 in words is "one trillion, four hundred sixty-one billion, three hundred seventy-four million, one hundred sixteen thousand, twenty".