Search a number
-
+
442796560272 = 243211311898853
BaseRepresentation
bin1100111000110001011…
…10110100111110010000
31120022221020211212222200
412130120232310332100
524223321404412042
6535230135003200
743663624442523
oct6343056647620
91508836755880
10442796560272
11160875129580
1271997809500
13329a8bb52a1
1417607d3abba
15b7b8b8ac4c
hex6718bb4f90

442796560272 has 120 divisors (see below), whose sum is σ = 1356219678528. Its totient is φ = 133749177600.

The previous prime is 442796560253. The next prime is 442796560291. The reversal of 442796560272 is 272065697244.

It is a happy number.

442796560272 is a `hidden beast` number, since 4 + 4 + 2 + 7 + 9 + 6 + 560 + 2 + 72 = 666.

442796560272 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (442796560253) and next prime (442796560291).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43198 + ... + 942050.

Almost surely, 2442796560272 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 442796560272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678109839264).

442796560272 is an abundant number, since it is smaller than the sum of its proper divisors (913423118256).

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

442796560272 is a wasteful number, since it uses less digits than its factorization.

442796560272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899189 (or 899180 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 442796560272 in words is "four hundred forty-two billion, seven hundred ninety-six million, five hundred sixty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 311 396 528 622 792 933 1244 1584 1866 2488 2799 3421 3732 4976 5598 6842 7464 10263 11196 13684 14928 20526 22392 27368 30789 41052 44784 54736 61578 82104 123156 164208 246312 492624 898853 1797706 2696559 3595412 5393118 7190824 8089677 9887383 10786236 14381648 16179354 19774766 21572472 29662149 32358708 39549532 43144944 59324298 64717416 79099064 88986447 118648596 129434832 158198128 177972894 237297192 279543283 355945788 474594384 559086566 711891576 838629849 1118173132 1423783152 1677259698 2236346264 2515889547 3074976113 3354519396 4472692528 5031779094 6149952226 6709038792 9224928339 10063558188 12299904452 13418077584 18449856678 20127116376 24599808904 27674785017 36899713356 40254232752 49199617808 55349570034 73799426712 110699140068 147598853424 221398280136 442796560272