Search a number
-
+
42444302120 = 235112333112671
BaseRepresentation
bin100111100001111000…
…001010011100101000
311001120000102221122122
4213201320022130220
51143411220131440
631255412410412
73031544421023
oct474170123450
9131500387578
1042444302120
111700077a440
128286616a08
1340055acc8c
1420a90801ba
1511863ae7b5
hex9e1e0a728

42444302120 has 128 divisors (see below), whose sum is σ = 109048135680. Its totient is φ = 14717472000.

The previous prime is 42444302093. The next prime is 42444302123. The reversal of 42444302120 is 2120344424.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 42444302120.

It is not an unprimeable number, because it can be changed into a prime (42444302123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3343385 + ... + 3356055.

It is an arithmetic number, because the mean of its divisors is an integer number (851938560).

Almost surely, 242444302120 is an apocalyptic number.

42444302120 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 42444302120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54524067840).

42444302120 is an abundant number, since it is smaller than the sum of its proper divisors (66603833560).

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

42444302120 is a wasteful number, since it uses less digits than its factorization.

42444302120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13047 (or 13043 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 42444302120 its reverse (2120344424), we get a palindrome (44564646544).

The spelling of 42444302120 in words is "forty-two billion, four hundred forty-four million, three hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 331 440 460 506 662 920 1012 1265 1324 1655 2024 2530 2648 3310 3641 5060 6620 7282 7613 10120 12671 13240 14564 15226 18205 25342 29128 30452 36410 38065 50684 60904 63355 72820 76130 83743 101368 126710 139381 145640 152260 167486 253420 278762 291433 304520 334972 418715 506840 557524 582866 669944 696905 837430 1115048 1165732 1393810 1457165 1674860 2331464 2787620 2914330 3205763 3349720 4194101 5575240 5828660 6411526 8388202 11657320 12823052 16028815 16776404 20970505 25646104 32057630 33552808 41941010 46135111 64115260 83882020 92270222 96464323 128230520 167764040 184540444 192928646 230675555 369080888 385857292 461351110 482321615 771714584 922702220 964643230 1061107553 1845404440 1929286460 2122215106 3858572920 4244430212 5305537765 8488860424 10611075530 21222151060 42444302120