Search a number
-
+
44133089520 = 24351320177013
BaseRepresentation
bin101001000110100010…
…011000000011110000
311012220201012020110010
4221012202120003300
51210341032331040
632135141134520
73121442033322
oct510642300360
9135821166403
1044133089520
1117797a84403
1286780ba440
134214431a70
1421c9487612
15123479ae80
hexa468980f0

44133089520 has 160 divisors (see below), whose sum is σ = 147430688832. Its totient is φ = 10856595456.

The previous prime is 44133089509. The next prime is 44133089527. The reversal of 44133089520 is 2598033144.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44133089527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6289534 + ... + 6296546.

Almost surely, 244133089520 is an apocalyptic number.

44133089520 is a gapful number since it is divisible by the number (40) 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 44133089520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73715344416).

44133089520 is an abundant number, since it is smaller than the sum of its proper divisors (103297599312).

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

44133089520 is a wasteful number, since it uses less digits than its factorization.

44133089520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9059 (or 9053 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 44133089520 in words is "forty-four billion, one hundred thirty-three million, eighty-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 2017 3120 4034 6051 7013 8068 10085 12102 14026 16136 20170 21039 24204 26221 28052 30255 32272 35065 40340 42078 48408 52442 56104 60510 70130 78663 80680 84156 91169 96816 104884 105195 112208 121020 131105 140260 157326 161360 168312 182338 209768 210390 242040 262210 273507 280520 314652 336624 364676 393315 419536 420780 455845 484080 524420 547014 561040 629304 729352 786630 841560 911690 1048840 1094028 1258608 1367535 1458704 1573260 1683120 1823380 2097680 2188056 2735070 3146520 3646760 4376112 5470140 6293040 7293520 10940280 14145221 21880560 28290442 42435663 56580884 70726105 84871326 113161768 141452210 169742652 183887873 212178315 226323536 282904420 339485304 367775746 424356630 551663619 565808840 678970608 735551492 848713260 919439365 1103327238 1131617680 1471102984 1697426520 1838878730 2206654476 2758318095 2942205968 3394853040 3677757460 4413308952 5516636190 7355514920 8826617904 11033272380 14711029840 22066544760 44133089520