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3241042444296 = 233353331855317
BaseRepresentation
bin101111001010011101001…
…011110000000000001000
3102110211200211011011012000
4233022131023300000020
5411100123331204141
610520525255351000
7453105024141066
oct57123513600010
912424624134160
103241042444296
11103a577a69828
12444176682460
131a6823b7ca77
14b2c1dbc1036
1559490e675b6
hex2f29d2f0008

3241042444296 has 128 divisors (see below), whose sum is σ = 9200484662400. Its totient is φ = 1056760024320.

The previous prime is 3241042444279. The next prime is 3241042444331. The reversal of 3241042444296 is 6924442401423.

It is a happy number.

3241042444296 is a `hidden beast` number, since 32 + 410 + 42 + 44 + 42 + 96 = 666.

It is a super-3 number, since 3×32410424442963 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3361630 + ... + 4216946.

It is an arithmetic number, because the mean of its divisors is an integer number (71878786425).

Almost surely, 23241042444296 is an apocalyptic number.

3241042444296 is a gapful number since it is divisible by the number (36) 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 3241042444296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4600242331200).

3241042444296 is an abundant number, since it is smaller than the sum of its proper divisors (5959442218104).

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

3241042444296 is a wasteful number, since it uses less digits than its factorization.

3241042444296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855716 (or 855706 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 3241042444296 in words is "three trillion, two hundred forty-one billion, forty-two million, four hundred forty-four thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 106 108 159 212 216 318 331 424 477 636 662 954 993 1272 1324 1431 1908 1986 2648 2862 2979 3816 3972 5724 5958 7944 8937 11448 11916 17543 17874 23832 35086 35748 52629 70172 71496 105258 140344 157887 210516 315774 421032 473661 631548 855317 947322 1263096 1710634 1894644 2565951 3421268 3789288 5131902 6842536 7697853 10263804 15395706 20527608 23093559 30791412 45331801 46187118 61582824 90663602 92374236 135995403 181327204 184748472 271990806 283109927 362654408 407986209 543981612 566219854 815972418 849329781 1087963224 1132439708 1223958627 1631944836 1698659562 2264879416 2447917254 2547989343 3263889672 3397319124 4895834508 5095978686 6794638248 7643968029 9791669016 10191957372 15004826131 15287936058 20383914744 30009652262 30575872116 45014478393 60019304524 61151744232 90028956786 120038609048 135043435179 180057913572 270086870358 360115827144 405130305537 540173740716 810260611074 1080347481432 1620521222148 3241042444296