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1940254631616 = 26373794741201
BaseRepresentation
bin11100001111000000001…
…100000010011011000000
320212111010200101200010110
4130033000030002123000
5223242120141202431
64043201330231320
7260115214152420
oct34170014023300
96774120350113
101940254631616
11688948180284
1227404b425540
13110c717abaa2
1469ca1b60480
153570ccc6346
hex1c3c03026c0

1940254631616 has 224 divisors, whose sum is σ = 6032036086272. Its totient is φ = 538793164800.

The previous prime is 1940254631551. The next prime is 1940254631663. The reversal of 1940254631616 is 6161364520491.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47071816 + ... + 47113016.

It is an arithmetic number, because the mean of its divisors is an integer number (26928732528).

Almost surely, 21940254631616 is an apocalyptic number.

1940254631616 is a gapful number since it is divisible by the number (16) 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 1940254631616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3016018043136).

1940254631616 is an abundant number, since it is smaller than the sum of its proper divisors (4091781454656).

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

1940254631616 is a wasteful number, since it uses less digits than its factorization.

1940254631616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42207 (or 42197 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 1940254631616 in words is "one trillion, nine hundred forty billion, two hundred fifty-four million, six hundred thirty-one thousand, six hundred sixteen".