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40332315330 = 23253183174169
BaseRepresentation
bin100101100011111111…
…100100101011000010
310212002211100220102200
4211203333210223002
51130100033042310
630310045254030
72625321011106
oct454377445302
9125084326380
1040332315330
11161175a450a
127997264316
133a59b86158
141d48793906
1510b0c7a9c0
hex963fe4ac2

40332315330 has 96 divisors (see below), whose sum is σ = 109551536640. Its totient is φ = 10282878720.

The previous prime is 40332315307. The next prime is 40332315337. The reversal of 40332315330 is 3351323304.

It is a happy number.

40332315330 is a `hidden beast` number, since 4 + 0 + 3 + 323 + 1 + 5 + 330 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 40332315294 and 40332315303.

It is not an unprimeable number, because it can be changed into a prime (40332315337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144486 + ... + 318654.

It is an arithmetic number, because the mean of its divisors is an integer number (1141161840).

Almost surely, 240332315330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40332315330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54775768320).

40332315330 is an abundant number, since it is smaller than the sum of its proper divisors (69219221310).

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

40332315330 is a wasteful number, since it uses less digits than its factorization.

40332315330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174296 (or 174293 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 27.

Adding to 40332315330 its reverse (3351323304), we get a palindrome (43683638634).

The spelling of 40332315330 in words is "forty billion, three hundred thirty-two million, three hundred fifteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 83 90 93 155 166 186 249 279 310 415 465 498 558 747 830 930 1245 1395 1494 2490 2573 2790 3735 5146 7470 7719 12865 15438 23157 25730 38595 46314 77190 115785 174169 231570 348338 522507 870845 1045014 1567521 1741690 2612535 3135042 5225070 5399239 7837605 10798478 14456027 15675210 16197717 26996195 28912054 32395434 43368081 48593151 53992390 72280135 80988585 86736162 97186302 130104243 144560270 161977170 216840405 242965755 260208486 433680810 448136837 485931510 650521215 896273674 1301042430 1344410511 2240684185 2688821022 4033231533 4481368370 6722052555 8066463066 13444105110 20166157665 40332315330