Search a number
-
+
1144524421530 = 23457316511489
BaseRepresentation
bin10000101001111010111…
…110001011100110011010
311001102012212121201210000
4100221322332023212122
5122222441222442110
62233442014233430
7145455245031450
oct20517276134632
94042185551700
101144524421530
1140143221a986
12165996ab5876
1383c0b305129
143d5768da9d0
151eb8979c1c0
hex10a7af8b99a

1144524421530 has 160 divisors (see below), whose sum is σ = 3630598456320. Its totient is φ = 253166653440.

The previous prime is 1144524421483. The next prime is 1144524421543. The reversal of 1144524421530 is 351244254411.

1144524421530 is a `hidden beast` number, since 1 + 1 + 44 + 524 + 42 + 1 + 53 + 0 = 666.

It is a super-2 number, since 2×11445244215302 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3079975 + ... + 3431514.

It is an arithmetic number, because the mean of its divisors is an integer number (22691240352).

Almost surely, 21144524421530 is an apocalyptic number.

1144524421530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1144524421530 is an abundant number, since it is smaller than the sum of its proper divisors (2486074034790).

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

1144524421530 is a wasteful number, since it uses less digits than its factorization.

1144524421530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6511546 (or 6511537 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 1144524421530 its reverse (351244254411), we get a palindrome (1495768675941).

The spelling of 1144524421530 in words is "one trillion, one hundred forty-four billion, five hundred twenty-four million, four hundred twenty-one thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 31 35 42 45 54 62 63 70 81 90 93 105 126 135 155 162 186 189 210 217 270 279 310 315 378 405 434 465 558 567 630 651 810 837 930 945 1085 1134 1302 1395 1674 1890 1953 2170 2511 2790 2835 3255 3906 4185 5022 5670 5859 6510 8370 9765 11718 12555 17577 19530 25110 29295 35154 58590 87885 175770 6511489 13022978 19534467 32557445 39068934 45580423 58603401 65114890 91160846 97672335 117206802 136741269 175810203 195344670 201856159 227902115 273482538 293017005 351620406 403712318 410223807 455804230 527430609 586034010 605568477 683706345 820447614 879051015 1009280795 1054861218 1211136954 1230671421 1367412690 1412993113 1758102030 1816705431 2018561590 2051119035 2461342842 2637153045 2825986226 3027842385 3633410862 3692014263 4102238070 4238979339 5274306090 5450116293 6055684770 6153357105 7064965565 7384028526 8477958678 9083527155 10900232586 12306714210 12716938017 14129931130 16350348879 18167054310 18460071315 21194896695 25433876034 27250581465 32700697758 36920142630 38150814051 42389793390 54501162930 63584690085 76301628102 81751744395 114452442153 127169380170 163503488790 190754070255 228904884306 381508140510 572262210765 1144524421530