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2031444041310 = 232523107285717
BaseRepresentation
bin11101100011111011100…
…000000001111001011110
321012012111211100122121200
4131203323200001321132
5231240344133310220
64153122115540330
7266524035305625
oct35437340017136
97165454318550
102031444041310
11713592224492
1228985a5ba6a6
13119744b58088
14704729d26bc
1537c9879a890
hex1d8fb801e5e

2031444041310 has 144 divisors (see below), whose sum is σ = 5563450672416. Its totient is φ = 513316780416.

The previous prime is 2031444041299. The next prime is 2031444041383. The reversal of 2031444041310 is 131404441302.

2031444041310 is a `hidden beast` number, since 203 + 1 + 4 + 4 + 40 + 413 + 1 + 0 = 666.

It is a super-2 number, since 2×20314440413102 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23656572 + ... + 23742288.

It is an arithmetic number, because the mean of its divisors is an integer number (38635074114).

Almost surely, 22031444041310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2031444041310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2781725336208).

2031444041310 is an abundant number, since it is smaller than the sum of its proper divisors (3532006631106).

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

2031444041310 is a wasteful number, since it uses less digits than its factorization.

2031444041310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85967 (or 85857 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2031444041310 its reverse (131404441302), we get a palindrome (2162848482612).

The spelling of 2031444041310 in words is "two trillion, thirty-one billion, four hundred forty-four million, forty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 107 115 138 207 214 230 321 345 414 535 642 690 963 1035 1070 1605 1926 2070 2461 3210 4815 4922 7383 9630 11449 12305 14766 22149 22898 24610 34347 36915 44298 57245 68694 73830 85717 103041 110745 114490 171434 171735 206082 221490 257151 263327 343470 428585 514302 515205 526654 771453 789981 857170 1030410 1285755 1316635 1542906 1579962 1971491 2369943 2571510 2633270 3857265 3942982 3949905 4739886 5914473 7714530 7899810 9171719 9857455 11828946 11849715 17743419 18343438 19714910 23699430 27515157 29572365 35486838 45858595 55030314 59144730 82545471 88717095 91717190 137575785 165090942 177434190 210949537 275151570 412727355 421899074 632848611 825454710 981373933 1054747685 1265697222 1898545833 1962747866 2109495370 2944121799 3164243055 3797091666 4906869665 5888243598 6328486110 8832365397 9492729165 9813739330 14720608995 17664730794 18985458330 22571600459 29441217990 44161826985 45143200918 67714801377 88323653970 112858002295 135429602754 203144404131 225716004590 338574006885 406288808262 677148013770 1015722020655 2031444041310