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4022941126974 = 2372115932097727
BaseRepresentation
bin111010100010101001111…
…110100001000100111110
3112020120220200110200220120
4322202221332201010332
51011402440412030344
612320040313555410
7563435142241200
oct72425176410476
915216820420816
104022941126974
11131113542a940
1254b80aa15b66
13232491913893
14dc9d60a4770
156e9a503b219
hex3a8a9fa113e

4022941126974 has 96 divisors (see below), whose sum is σ = 10227581945856. Its totient is φ = 1043157185280.

The previous prime is 4022941126973. The next prime is 4022941127011. The reversal of 4022941126974 is 4796211492204.

It is a super-2 number, since 2×40229411269742 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4022941126973) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 868899 + ... + 2966625.

It is an arithmetic number, because the mean of its divisors is an integer number (106537311936).

Almost surely, 24022941126974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4022941126974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5113790972928).

4022941126974 is an abundant number, since it is smaller than the sum of its proper divisors (6204640818882).

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

4022941126974 is a wasteful number, since it uses less digits than its factorization.

4022941126974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2098350 (or 2098343 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 4022941126974 in words is "four trillion, twenty-two billion, nine hundred forty-one million, one hundred twenty-six thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 231 294 462 539 593 1078 1186 1617 1779 3234 3558 4151 6523 8302 12453 13046 19569 24906 29057 39138 45661 58114 87171 91322 136983 174342 273966 319627 639254 958881 1917762 2097727 4195454 6293181 12586362 14684089 23074997 29368178 44052267 46149994 69224991 88104534 102788623 138449982 161524979 205577246 308365869 323049958 484574937 616731738 969149874 1130674853 1243952111 2261349706 2487904222 3392024559 3731856333 6784049118 7463712666 8707664777 13683473221 17415329554 26122994331 27366946442 41050419663 52245988662 60953653439 82100839326 95784312547 121907306878 182860960317 191568625094 287352937641 365721920634 574705875282 670490187829 1340980375658 2011470563487 4022941126974