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4011430340344 = 2376712716351647
BaseRepresentation
bin111010010111111011111…
…000010110011011111000
3112012111012110220011010211
4322113323320112123320
51011210402131342334
612310454201520504
7562546661204410
oct72277370263370
915174173804124
104011430340344
111307268938539
12549537aa3134
13231378c2852b
14dc223431640
156e52e702a64
hex3a5fbe166f8

4011430340344 has 128 divisors (see below), whose sum is σ = 8847029698560. Its totient is φ = 1669849872768.

The previous prime is 4011430340327. The next prime is 4011430340347. The reversal of 4011430340344 is 4430430341104.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4011430340347) 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, 77644329 + ... + 77695975.

It is an arithmetic number, because the mean of its divisors is an integer number (69117419520).

Almost surely, 24011430340344 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 4011430340344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4423514849280).

4011430340344 is an abundant number, since it is smaller than the sum of its proper divisors (4835599358216).

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

4011430340344 is a wasteful number, since it uses less digits than its factorization.

4011430340344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52017 (or 52013 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 4011430340344 its reverse (4430430341104), we get a palindrome (8441860681448).

The spelling of 4011430340344 in words is "four trillion, eleven billion, four hundred thirty million, three hundred forty thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 67 127 134 163 254 268 326 469 508 536 652 889 938 1016 1141 1304 1778 1876 2282 3556 3752 4564 7112 8509 9128 10921 17018 20701 21842 34036 41402 43684 51647 59563 68072 76447 82804 87368 103294 119126 144907 152894 165608 206588 238252 289814 305788 361529 413176 476504 579628 611576 723058 1159256 1386967 1446116 2773934 2892232 3460349 5547868 6559169 6920698 8418461 9708769 11095736 13118338 13841396 16836922 19417538 24222443 26236676 27682792 33673844 38835076 45914183 48444886 52473352 58929227 67347688 77670152 91828366 96889772 117858454 183656732 193779544 235716908 367313464 439464323 471433816 564036887 878928646 1069144547 1128073774 1757857292 2138289094 2256147548 3076250261 3515714584 3948258209 4276578188 4512295096 6152500522 7484011829 7896516418 8553156376 12305001044 14968023658 15793032836 24610002088 29936047316 31586065672 59872094632 71632684649 143265369298 286530738596 501428792543 573061477192 1002857585086 2005715170172 4011430340344