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422344401012 = 2232238923892399
BaseRepresentation
bin1100010010101011011…
…00000010000001110100
31111101010220111112211200
412021111230002001310
523404430131313022
6522004454132500
742341042114202
oct6112554020164
91441126445750
10422344401012
1115312a449616
1269a2a351130
1330a99935bc1
1416627994072
15aebd3a6bac
hex6255b02074

422344401012 has 144 divisors (see below), whose sum is σ = 1127468160000. Its totient is φ = 133036282368.

The previous prime is 422344401001. The next prime is 422344401013. The reversal of 422344401012 is 210104443224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422344401013) 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, 176048989 + ... + 176051387.

It is an arithmetic number, because the mean of its divisors is an integer number (7829640000).

Almost surely, 2422344401012 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 422344401012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563734080000).

422344401012 is an abundant number, since it is smaller than the sum of its proper divisors (705123758988).

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

422344401012 is a wasteful number, since it uses less digits than its factorization.

422344401012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4910 (or 4905 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 422344401012 its reverse (210104443224), we get a palindrome (632448844236).

The spelling of 422344401012 in words is "four hundred twenty-two billion, three hundred forty-four million, four hundred one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 89 92 138 178 207 267 276 356 414 534 801 828 1068 1602 2047 2389 2399 3204 4094 4778 4798 6141 7167 7197 8188 9556 9596 12282 14334 14394 18423 21501 21591 24564 28668 28788 36846 43002 43182 54947 55177 73692 86004 86364 109894 110354 164841 165531 212621 213511 219788 220708 329682 331062 425242 427022 494523 496593 637863 640533 659364 662124 850484 854044 989046 993186 1275726 1281066 1913589 1921599 1978092 1986372 2551452 2562132 3827178 3843198 4890283 4910753 5731211 7654356 7686396 9780566 9821506 11462422 14670849 14732259 17193633 19561132 19643012 22924844 29341698 29464518 34387266 44012547 44196777 51580899 58683396 58929036 68774532 88025094 88393554 103161798 131817853 176050188 176787108 206323596 263635706 395453559 510077779 527271412 790907118 1020155558 1186360677 1530233337 1581814236 2040311116 2372721354 3060466674 4590700011 4745442708 6120933348 9181400022 11731788917 18362800044 23463577834 35195366751 46927155668 70390733502 105586100253 140781467004 211172200506 422344401012