Search a number
-
+
1144622016 = 26341911621
BaseRepresentation
bin100010000111001…
…1000101111000000
32221202210211020000
41010032120233000
54321010401031
6305325120000
740236061266
oct10416305700
92852724200
101144622016
1153812250a
1227b3b9000
131531a5245
14ac036436
156a74c3e6
hex44398bc0

1144622016 has 140 divisors (see below), whose sum is σ = 3571905480. Its totient is φ = 361428480.

The previous prime is 1144621999. The next prime is 1144622057. The reversal of 1144622016 is 6102264411.

1144622016 is a `hidden beast` number, since 11 + 446 + 2 + 201 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 92686 + ... + 104306.

Almost surely, 21144622016 is an apocalyptic number.

1144622016 is a gapful number since it is divisible by the number (16) 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 1144622016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785952740).

1144622016 is an abundant number, since it is smaller than the sum of its proper divisors (2427283464).

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

1144622016 is a wasteful number, since it uses less digits than its factorization.

1144622016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11664 (or 11645 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1144622016 is about 33832.2629453012. The cubic root of 1144622016 is about 1046.0538245514.

Adding to 1144622016 its reverse (6102264411), we get a palindrome (7246886427).

The spelling of 1144622016 in words is "one billion, one hundred forty-four million, six hundred twenty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 81 96 108 114 144 152 162 171 192 216 228 288 304 324 342 432 456 513 576 608 648 684 864 912 1026 1216 1296 1368 1539 1728 1824 2052 2592 2736 3078 3648 4104 5184 5472 6156 8208 10944 11621 12312 16416 23242 24624 32832 34863 46484 49248 69726 92968 98496 104589 139452 185936 209178 220799 278904 313767 371872 418356 441598 557808 627534 662397 743744 836712 883196 941301 1115616 1255068 1324794 1673424 1766392 1882602 1987191 2231232 2510136 2649588 3346848 3532784 3765204 3974382 5020272 5299176 5961573 6693696 7065568 7530408 7948764 10040544 10598352 11923146 14131136 15060816 15897528 17884719 20081088 21196704 23846292 30121632 31795056 35769438 42393408 47692584 60243264 63590112 71538876 95385168 127180224 143077752 190770336 286155504 381540672 572311008 1144622016