Search a number
-
+
274042240472 = 237111334221059
BaseRepresentation
bin1111111100111000110…
…0001011110111011000
3222012100110211012212002
43333032030023313120
513442214303143342
6325520540140132
725541010416210
oct3771614136730
9865313735762
10274042240472
11a6247778380
1245140237648
131cac40577a0
14d3998c5240
1571dd8a0d32
hex3fce30bdd8

274042240472 has 64 divisors (see below), whose sum is σ = 689896569600. Its totient is φ = 98556647040.

The previous prime is 274042240469. The next prime is 274042240513.

274042240472 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17102522 + ... + 17118537.

It is an arithmetic number, because the mean of its divisors is an integer number (10779633900).

Almost surely, 2274042240472 is an apocalyptic number.

274042240472 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

274042240472 is an abundant number, since it is smaller than the sum of its proper divisors (415854329128).

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

274042240472 is a wasteful number, since it uses less digits than its factorization.

274042240472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34221096 (or 34221092 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 38.

The spelling of 274042240472 in words is "two hundred seventy-four billion, forty-two million, two hundred forty thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 616 728 1001 1144 2002 4004 8008 34221059 68442118 136884236 239547413 273768472 376431649 444873767 479094826 752863298 889747534 958189652 1505726596 1779495068 1916379304 2635021543 3011453192 3114116369 3558990136 4893611437 5270043086 6228232738 9787222874 10540086172 12456465476 19574445748 21080172344 24912930952 34255280059 39148891496 68510560118 137021120236 274042240472