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31340535540 = 223523169913367
BaseRepresentation
bin11101001100000010…
…101001111011110100
32222220011202011102120
4131030002221323310
51003141134114130
622221520235540
72156435104506
oct351402517364
988804664376
1031340535540
1112322a08246
1260a7a6bbb0
132c560235b2
1417344bbd76
15c36674910
hex74c0a9ef4

31340535540 has 96 divisors (see below), whose sum is σ = 91629619200. Its totient is φ = 7988804736.

The previous prime is 31340535533. The next prime is 31340535553. The reversal of 31340535540 is 4553504313.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2337937 + ... + 2351303.

It is an arithmetic number, because the mean of its divisors is an integer number (954475200).

Almost surely, 231340535540 is an apocalyptic number.

31340535540 is a gapful number since it is divisible by the number (30) 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 31340535540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45814809600).

31340535540 is an abundant number, since it is smaller than the sum of its proper divisors (60289083660).

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

31340535540 is a wasteful number, since it uses less digits than its factorization.

31340535540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15101 (or 15099 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 33.

The spelling of 31340535540 in words is "thirty-one billion, three hundred forty million, five hundred thirty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 1699 3398 5097 6796 8495 10194 13367 16990 20388 25485 26734 33980 39077 40101 50970 53468 66835 78154 80202 101940 117231 133670 156308 160404 195385 200505 234462 267340 307441 390770 401010 468924 586155 614882 781540 802020 922323 1172310 1229764 1537205 1844646 2344620 3074410 3689292 4611615 6148820 9223230 18446460 22710533 45421066 68131599 90842132 113552665 136263198 227105330 272526396 340657995 454210660 522342259 681315990 1044684518 1362631980 1567026777 2089369036 2611711295 3134053554 5223422590 6268107108 7835133885 10446845180 15670267770 31340535540