Search a number
-
+
1242974193804 = 2233710611549619
BaseRepresentation
bin10010000101100111000…
…010010000100010001100
311101211100000020100101000
4102011213002100202030
5130331102343200204
62351003042420300
7155542026215550
oct22054702204214
94354300210330
101242974193804
1143a162589a42
12180a91661690
139029a8b7655
1444235b01860
15224ec86a039
hex1216709088c

1242974193804 has 96 divisors (see below), whose sum is σ = 3686360025600. Its totient is φ = 354800537280.

The previous prime is 1242974193779. The next prime is 1242974193827. The reversal of 1242974193804 is 4083914792421.

1242974193804 is a `hidden beast` number, since 1 + 242 + 9 + 7 + 4 + 19 + 380 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 27307 + ... + 1576925.

It is an arithmetic number, because the mean of its divisors is an integer number (38399583600).

Almost surely, 21242974193804 is an apocalyptic number.

1242974193804 is a gapful number since it is divisible by the number (14) 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 1242974193804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843180012800).

1242974193804 is an abundant number, since it is smaller than the sum of its proper divisors (2443385831796).

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

1242974193804 is a wasteful number, since it uses less digits than its factorization.

1242974193804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1550700 (or 1550692 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 1242974193804 in words is "one trillion, two hundred forty-two billion, nine hundred seventy-four million, one hundred ninety-three thousand, eight hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 1061 2122 3183 4244 6366 7427 9549 12732 14854 19098 22281 28647 29708 38196 44562 57294 66843 89124 114588 133686 200529 267372 401058 802116 1549619 3099238 4648857 6198476 9297714 10847333 13946571 18595428 21694666 27893142 32541999 41839713 43389332 55786284 65083998 83679426 97625997 130167996 167358852 195251994 292877991 390503988 585755982 1171511964 1644145759 3288291518 4932437277 6576583036 9864874554 11509020313 14797311831 19729749108 23018040626 29594623662 34527060939 44391935493 46036081252 59189247324 69054121878 88783870986 103581182817 138108243756 177567741972 207162365634 310743548451 414324731268 621487096902 1242974193804