Search a number
-
+
44113421320 = 23523263337541
BaseRepresentation
bin101001000101010111…
…010110010000001000
311012212100011222202021
4221011113112100020
51210321013440240
632133155414224
73121112615533
oct510527262010
9135770158667
1044113421320
11177879703a1
1286715b4374
134210336687
1421c6a07a1a
151232bb354a
hexa455d6408

44113421320 has 128 divisors (see below), whose sum is σ = 104465687040. Its totient is φ = 16733122560.

The previous prime is 44113421281. The next prime is 44113421333. The reversal of 44113421320 is 2312431144.

It is a super-3 number, since 3×441134213203 (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81540250 + ... + 81540790.

It is an arithmetic number, because the mean of its divisors is an integer number (816138180).

Almost surely, 244113421320 is an apocalyptic number.

44113421320 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 44113421320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52232843520).

44113421320 is an abundant number, since it is smaller than the sum of its proper divisors (60352265720).

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

44113421320 is a wasteful number, since it uses less digits than its factorization.

44113421320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 44113421320 its reverse (2312431144), we get a palindrome (46425852464).

The spelling of 44113421320 in words is "forty-four billion, one hundred thirteen million, four hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 263 337 460 526 541 674 920 1052 1082 1315 1348 1685 2104 2164 2630 2696 2705 3370 4328 5260 5410 6049 6740 7751 10520 10820 12098 12443 13480 15502 21640 24196 24886 30245 31004 38755 48392 49772 60490 62008 62215 77510 88631 99544 120980 124430 142283 155020 177262 182317 241960 248860 284566 310040 354524 364634 443155 497720 569132 709048 711415 729268 886310 911585 1138264 1422830 1458536 1772620 1823170 2038513 2845660 3272509 3545240 3646340 4077026 4193291 5691320 6545018 7292680 8154052 8386582 10192565 13090036 16308104 16362545 16773164 20385130 20966455 26180072 32725090 33546328 40770260 41932910 47949371 65450180 81540520 83865820 95898742 130900360 167731640 191797484 239746855 383594968 479493710 958987420 1102835533 1917974840 2205671066 4411342132 5514177665 8822684264 11028355330 22056710660 44113421320