Search a number
-
+
4043975659008 = 29371182320341
BaseRepresentation
bin111010110110001111101…
…110111000111000000000
3112022121012121122122022120
4322312033232320320000
51012224030232042013
612333435441004240
7565111325641365
oct72661756707000
915277177578276
104043975659008
11131a04991910a
125538bb323680
1323446472943c
14dda2d92646c
15702d6a0a123
hex3ad8fbb8e00

4043975659008 has 160 divisors (see below), whose sum is σ = 10931672328192. Its totient is φ = 1328211763200.

The previous prime is 4043975659007. The next prime is 4043975659013. The reversal of 4043975659008 is 8009565793404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4043975659007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198798918 + ... + 198819258.

Almost surely, 24043975659008 is an apocalyptic number.

4043975659008 is a gapful number since it is divisible by the number (48) 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 4043975659008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5465836164096).

4043975659008 is an abundant number, since it is smaller than the sum of its proper divisors (6887696669184).

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

4043975659008 is a wasteful number, since it uses less digits than its factorization.

4043975659008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22256 (or 22240 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 60.

The spelling of 4043975659008 in words is "four trillion, forty-three billion, nine hundred seventy-five million, six hundred fifty-nine thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 256 284 384 426 512 568 768 852 1136 1536 1704 1823 2272 3408 3646 4544 5469 6816 7292 9088 10938 13632 14584 18176 20341 21876 27264 29168 36352 40682 43752 54528 58336 61023 81364 87504 109056 116672 122046 129433 162728 175008 233344 244092 258866 325456 350016 388299 466688 488184 517732 650912 700032 776598 933376 976368 1035464 1301824 1400064 1444211 1553196 1952736 2070928 2603648 2800128 2888422 3106392 3905472 4141856 4332633 5207296 5776844 6212784 7810944 8283712 8665266 10414592 11553688 12425568 15621888 16567424 17330532 23107376 24851136 31243776 33134848 34661064 37081643 46214752 49702272 66269696 69322128 74163286 92429504 99404544 111244929 138644256 148326572 184859008 198809088 222489858 277288512 296653144 369718016 444979716 554577024 593306288 739436032 889959432 1109154048 1186612576 1779918864 2218308096 2373225152 2632796653 3559837728 4746450304 5265593306 7119675456 7898389959 9492900608 10531186612 14239350912 15796779918 18985801216 21062373224 28478701824 31593559836 42124746448 56957403648 63187119672 84249492896 126374239344 168498985792 252748478688 336997971584 505496957376 673995943168 1010993914752 1347991886336 2021987829504 4043975659008