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3201324140240 = 245172891555793
BaseRepresentation
bin101110100101011101110…
…010011100011011010000
3102100001011210011020212122
4232211131302130123100
5404422302434441430
610450400142313412
7450200540133212
oct56453562343320
912301153136778
103201324140240
111024746023056
12438530b88868
131a2b64289ac5
14b0d32bc05b2
1558419075ee5
hex2e95dc9c6d0

3201324140240 has 120 divisors (see below), whose sum is σ = 7995505408920. Its totient is φ = 1191661993984.

The previous prime is 3201324140233. The next prime is 3201324140249. The reversal of 3201324140240 is 420414231023.

It can be written as a sum of positive squares in 12 ways, for example, as 4179881104 + 3197144259136 = 64652^2 + 1788056^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3201324140249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1279784 + ... + 2835576.

It is an arithmetic number, because the mean of its divisors is an integer number (66629211741).

Almost surely, 23201324140240 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 3201324140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3997752704460).

3201324140240 is an abundant number, since it is smaller than the sum of its proper divisors (4794181268680).

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

3201324140240 is a wasteful number, since it uses less digits than its factorization.

3201324140240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1555929 (or 1555906 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 3201324140240 its reverse (420414231023), we get a palindrome (3621738371263).

The spelling of 3201324140240 in words is "three trillion, two hundred one billion, three hundred twenty-four million, one hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 89 136 170 178 272 289 340 356 445 578 680 712 890 1156 1360 1424 1445 1513 1780 2312 2890 3026 3560 4624 5780 6052 7120 7565 11560 12104 15130 23120 24208 25721 30260 51442 60520 102884 121040 128605 205768 257210 411536 514420 1028840 1555793 2057680 3111586 6223172 7778965 12446344 15557930 24892688 26448481 31115860 52896962 62231720 105793924 124463440 132242405 138465577 211587848 264484810 276931154 423175696 449624177 528969620 553862308 692327885 899248354 1057939240 1107724616 1384655770 1798496708 2115878480 2215449232 2248120885 2353914809 2769311540 3596993416 4496241770 4707829618 5538623080 7193986832 8992483540 9415659236 11077246160 11769574045 17984967080 18831318472 23539148090 35969934160 37662636944 40016551753 47078296180 80033103506 94156592360 160066207012 188313184720 200082758765 320132414024 400165517530 640264828048 800331035060 1600662070120 3201324140240