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1941964362144 = 25326742931813
BaseRepresentation
bin11100010000100110000…
…110001001000110100000
320212122112211112222111100
4130100212012021012200
5223304120334042034
64044043123514400
7260205454502502
oct34204606110640
96778484488440
101941964362144
1168964528a114
12274447b28a00
13111184a84361
1469dc4c59d72
15357ace4d099
hex1c4261891a0

1941964362144 has 36 divisors (see below), whose sum is σ = 5522461155666. Its totient is φ = 647321453952.

The previous prime is 1941964362139. The next prime is 1941964362203. The reversal of 1941964362144 is 4412634691491.

1941964362144 is a `hidden beast` number, since 1 + 9 + 4 + 1 + 9 + 6 + 4 + 3 + 621 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1266300090000 + 675664272144 = 1125300^2 + 821988^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3371465619 + ... + 3371466194.

Almost surely, 21941964362144 is an apocalyptic number.

It is an amenable number.

1941964362144 is an abundant number, since it is smaller than the sum of its proper divisors (3580496793522).

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

1941964362144 is a wasteful number, since it uses less digits than its factorization.

1941964362144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6742931829 (or 6742931818 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 1941964362144 in words is "one trillion, nine hundred forty-one billion, nine hundred sixty-four million, three hundred sixty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 6742931813 13485863626 20228795439 26971727252 40457590878 53943454504 60686386317 80915181756 107886909008 121372772634 161830363512 215773818016 242745545268 323660727024 485491090536 647321454048 970982181072 1941964362144