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42002311344 = 2437733135471
BaseRepresentation
bin100111000111100010…
…000110100010110000
311000102012202111021220
4213013202012202300
51142010042430334
631143503145040
73014566520130
oct470742064260
9130365674256
1042002311344
11168a4234204
1281825a5180
133c64b58986
1420664a8ac0
15115c6a4449
hex9c78868b0

42002311344 has 160 divisors (see below), whose sum is σ = 126130212864. Its totient is φ = 11796295680.

The previous prime is 42002311321. The next prime is 42002311363. The reversal of 42002311344 is 44311320024.

It is a super-2 number, since 2×420023113442 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 7674529 + ... + 7679999.

Almost surely, 242002311344 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 42002311344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63065106432).

42002311344 is an abundant number, since it is smaller than the sum of its proper divisors (84127901520).

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

42002311344 is a wasteful number, since it uses less digits than its factorization.

42002311344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5875 (or 5869 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 42002311344 its reverse (44311320024), we get a palindrome (86313631368).

The spelling of 42002311344 in words is "forty-two billion, two million, three hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 73 84 112 146 168 219 292 313 336 438 511 584 626 876 939 1022 1168 1252 1533 1752 1878 2044 2191 2504 3066 3504 3756 4088 4382 5008 5471 6132 6573 7512 8176 8764 10942 12264 13146 15024 16413 17528 21884 22849 24528 26292 32826 35056 38297 43768 45698 52584 65652 68547 76594 87536 91396 105168 114891 131304 137094 153188 159943 182792 229782 262608 274188 306376 319886 365584 399383 459564 479829 548376 612752 639772 798766 919128 959658 1096752 1198149 1279544 1597532 1712423 1838256 1919316 2396298 2559088 2795681 3195064 3424846 3838632 4792596 5137269 5591362 6390128 6849692 7677264 8387043 9585192 10274538 11182724 11986961 13699384 16774086 19170384 20549076 22365448 23973922 27398768 33548172 35960883 41098152 44730896 47947844 67096344 71921766 82196304 95895688 125006879 134192688 143843532 191791376 250013758 287687064 375020637 500027516 575374128 750041274 875048153 1000055032 1500082548 1750096306 2000110064 2625144459 3000165096 3500192612 5250288918 6000330192 7000385224 10500577836 14000770448 21001155672 42002311344