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311326240146540 = 223519299417006659
BaseRepresentation
bin100011011001001100100100…
…1111101000000010001101100
31111211022111102221222211221220
41012302121021331000101230
5311301232114434142130
63022045144510223340
7122401402312314033
oct10662311175002154
91454274387884856
10311326240146540
119021a798339153
122ab0113bab4b50
1310493c27aa08a8
1456c43b007771a
1525ed49b1b5410
hex11b2649f4046c

311326240146540 has 96 divisors (see below), whose sum is σ = 949234271328000. Its totient is φ = 75938741690112.

The previous prime is 311326240146529. The next prime is 311326240146547. The reversal of 311326240146540 is 45641042623113.

It is a junction number, because it is equal to n+sod(n) for n = 311326240146492 and 311326240146501.

It is not an unprimeable number, because it can be changed into a prime (311326240146547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4708470270 + ... + 4708536389.

It is an arithmetic number, because the mean of its divisors is an integer number (9887856993000).

Almost surely, 2311326240146540 is an apocalyptic number.

311326240146540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

311326240146540 is an abundant number, since it is smaller than the sum of its proper divisors (637908031181460).

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

311326240146540 is a wasteful number, since it uses less digits than its factorization.

311326240146540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9417006719 (or 9417006717 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

Adding to 311326240146540 its reverse (45641042623113), we get a palindrome (356967282769653).

The spelling of 311326240146540 in words is "three hundred eleven trillion, three hundred twenty-six billion, two hundred forty million, one hundred forty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 29 30 38 57 58 60 76 87 95 114 116 145 174 190 228 285 290 348 380 435 551 570 580 870 1102 1140 1653 1740 2204 2755 3306 5510 6612 8265 11020 16530 33060 9417006659 18834013318 28251019977 37668026636 47085033295 56502039954 94170066590 113004079908 141255099885 178923126521 188340133180 273093193111 282510199770 357846253042 536769379563 546186386222 565020399540 715692506084 819279579333 894615632605 1073538759126 1092372772444 1365465965555 1638559158666 1789231265210 2147077518252 2683846897815 2730931931110 3277118317332 3578462530420 4096397896665 5188770669109 5367693795630 5461863862220 8192795793330 10377541338218 10735387591260 15566312007327 16385591586660 20755082676436 25943853345545 31132624014654 51887706691090 62265248029308 77831560036635 103775413382180 155663120073270 311326240146540