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4021342241312 = 2511192123725583
BaseRepresentation
bin111010100001001010101…
…011010000001000100000
3112020102210020212220010002
4322201022223100020200
51011341202103210222
612315213520155132
7563350416032024
oct72411253201040
915212706786102
104021342241312
11131049494a430
1254b443468aa8
132322985ab0a6
14dc8c39c0384
156e90e9ac392
hex3a84aad0220

4021342241312 has 144 divisors (see below), whose sum is σ = 9122961923712. Its totient is φ = 1730210941440.

The previous prime is 4021342241311. The next prime is 4021342241341. The reversal of 4021342241312 is 2131422431204.

It is a super-3 number, since 3×40213422413123 (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4021342241311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157175273 + ... + 157200855.

It is an arithmetic number, because the mean of its divisors is an integer number (63353902248).

Almost surely, 24021342241312 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 4021342241312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4561480961856).

4021342241312 is an abundant number, since it is smaller than the sum of its proper divisors (5101619682400).

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

4021342241312 is a wasteful number, since it uses less digits than its factorization.

4021342241312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26879 (or 26852 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 4021342241312 its reverse (2131422431204), we get a palindrome (6152764672516).

The spelling of 4021342241312 in words is "four trillion, twenty-one billion, three hundred forty-two million, two hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 152 176 209 304 352 361 418 608 722 836 1237 1444 1672 2474 2888 3344 3971 4948 5776 6688 7942 9896 11552 13607 15884 19792 23503 25583 27214 31768 39584 47006 51166 54428 63536 94012 102332 108856 127072 188024 204664 217712 258533 281413 376048 409328 435424 446557 486077 517066 562826 752096 818656 893114 972154 1034132 1125652 1786228 1944308 2068264 2251304 3572456 3888616 4136528 4502608 4912127 5346847 7144912 7777232 8273056 9005216 9235463 9824254 10693694 14289824 15554464 18470926 19648508 21387388 31646171 36941852 39297016 42774776 63292342 73883704 78594032 85549552 101590093 126584684 147767408 157188064 171099104 203180186 253169368 295534816 348107881 406360372 506338736 601277249 696215762 812720744 1012677472 1202554498 1392431524 1625441488 2405108996 2784863048 3250882976 4810217992 5569726096 6614049739 9620435984 11139452192 11424267731 13228099478 19240871968 22848535462 26456198956 45697070924 52912397912 91394141848 105824795824 125666945041 182788283696 211649591648 251333890082 365576567392 502667780164 1005335560328 2010671120656 4021342241312