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31231002434240 = 265732714262431
BaseRepresentation
bin1110001100111100010001…
…10011100101101011000000
311002120122200020221201002202
413012132020303211223000
513043142043110343430
6150231154025332332
76402236232421010
oct706361063455300
9132518606851082
1031231002434240
119a50aa2757924
12360493b6370a8
1314570bc99c1ab
1479d835101c40
153925cb600d45
hex1c6788ce5ac0

31231002434240 has 112 divisors (see below), whose sum is σ = 85018946064384. Its totient is φ = 10704496204800.

The previous prime is 31231002434221. The next prime is 31231002434347. The reversal of 31231002434240 is 4243420013213.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5195825 + ... + 9458255.

Almost surely, 231231002434240 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 31231002434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42509473032192).

31231002434240 is an abundant number, since it is smaller than the sum of its proper divisors (53787943630144).

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

31231002434240 is a wasteful number, since it uses less digits than its factorization.

31231002434240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4265726 (or 4265716 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 31231002434240 its reverse (4243420013213), we get a palindrome (35474422447453).

The spelling of 31231002434240 in words is "thirty-one trillion, two hundred thirty-one billion, two million, four hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 3271 6542 13084 16355 22897 26168 32710 45794 52336 65420 91588 104672 114485 130840 183176 209344 228970 261680 366352 457940 523360 732704 915880 1046720 1465408 1831760 3663520 4262431 7327040 8524862 17049724 21312155 29837017 34099448 42624310 59674034 68198896 85248620 119348068 136397792 149185085 170497240 238696136 272795584 298370170 340994480 477392272 596740340 681988960 954784544 1193480680 1363977920 1909569088 2386961360 4773922720 9547845440 13942411801 27884823602 55769647204 69712059005 97596882607 111539294408 139424118010 195193765214 223078588816 278848236020 390387530428 446157177632 487984413035 557696472040 780775060856 892314355264 975968826070 1115392944080 1561550121712 1951937652140 2230785888160 3123100243424 3903875304280 4461571776320 6246200486848 7807750608560 15615501217120 31231002434240