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4231444536 = 233511217989
BaseRepresentation
bin1111110000110110…
…1011100000111000
3101220220012122200000
43330031223200320
532131222211121
61535514313000
7206600453664
oct37415534070
911826178600
104231444536
1118815a3a00
129a1128760
13525868347
142c1d9d8a4
1519b741526
hexfc36b838

4231444536 has 144 divisors (see below), whose sum is σ = 13063978200. Its totient is φ = 1282184640.

The previous prime is 4231444487. The next prime is 4231444537. The reversal of 4231444536 is 6354441324.

It is a super-2 number, since 2×42314445362 = 35810245722488510592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4231444536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4231444537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 226230 + ... + 244218.

Almost surely, 24231444536 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 4231444536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6531989100).

4231444536 is an abundant number, since it is smaller than the sum of its proper divisors (8832533664).

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

4231444536 is a wasteful number, since it uses less digits than its factorization.

4231444536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18032 (or 18005 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 4231444536 is about 65049.5544642698. The cubic root of 4231444536 is about 1617.4451086182.

The spelling of 4231444536 in words is "four billion, two hundred thirty-one million, four hundred forty-four thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 121 132 162 198 216 242 243 264 297 324 363 396 484 486 594 648 726 792 891 968 972 1089 1188 1452 1782 1944 2178 2376 2673 2904 3267 3564 4356 5346 6534 7128 8712 9801 10692 13068 17989 19602 21384 26136 29403 35978 39204 53967 58806 71956 78408 107934 117612 143912 161901 197879 215868 235224 323802 395758 431736 485703 593637 647604 791516 971406 1187274 1295208 1457109 1583032 1780911 1942812 2176669 2374548 2914218 3561822 3885624 4353338 4371327 4749096 5342733 5828436 6530007 7123644 8706676 8742654 10685466 11656872 13060014 14247288 16028199 17413352 17485308 19590021 21370932 26120028 32056398 34970616 39180042 42741864 48084597 52240056 58770063 64112796 78360084 96169194 117540126 128225592 156720168 176310189 192338388 235080252 352620378 384676776 470160504 528930567 705240756 1057861134 1410481512 2115722268 4231444536