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1940244048048 = 2431920891018411
BaseRepresentation
bin11100001110111111100…
…011101010100010110000
320212111002221110222012110
4130032333203222202300
5223242104434014143
64043200311325320
7260115025202505
oct34167743524260
96774087428173
101940244048048
11688942201729
12274047980840
13110c6c544717
1469ca05a74ac
153570bdd5533
hex1c3bf8ea8b0

1940244048048 has 80 divisors (see below), whose sum is σ = 5278633078400. Its totient is φ = 612414743040.

The previous prime is 1940244048047. The next prime is 1940244048073. The reversal of 1940244048048 is 8408404420491.

It is a super-2 number, since 2×19402440480482 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1940244047988 and 1940244048006.

It is not an unprimeable number, because it can be changed into a prime (1940244048047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1395963 + ... + 2414373.

It is an arithmetic number, because the mean of its divisors is an integer number (65982913480).

Almost surely, 21940244048048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1940244048048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2639316539200).

1940244048048 is an abundant number, since it is smaller than the sum of its proper divisors (3338389030352).

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

1940244048048 is a wasteful number, since it uses less digits than its factorization.

1940244048048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020530 (or 1020524 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 48.

The spelling of 1940244048048 in words is "one trillion, nine hundred forty billion, two hundred forty-four million, forty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 2089 4178 6267 8356 12534 16712 25068 33424 39691 50136 79382 100272 119073 158764 238146 317528 476292 635056 952584 1018411 1905168 2036822 3055233 4073644 6110466 8147288 12220932 16294576 19349809 24441864 38699618 48883728 58049427 77399236 116098854 154798472 232197708 309596944 464395416 928790832 2127460579 4254921158 6382381737 8509842316 12764763474 17019684632 25529526948 34039369264 40421751001 51059053896 80843502002 102118107792 121265253003 161687004004 242530506006 323374008008 485061012012 646748016016 970122024024 1940244048048