Search a number
-
+
402240365320 = 235171667354847
BaseRepresentation
bin1011101101001110110…
…01001110001100001000
31102110020211012201110011
411312213121032030020
523042242013142240
6504441531001304
741026614456223
oct5664731161410
91373224181404
10402240365320
11145653221a92
1265b59599234
132bc148338b1
141567b94a5ba
15a6e343a6ea
hex5da764e308

402240365320 has 64 divisors (see below), whose sum is σ = 958856071680. Its totient is φ = 151340399616.

The previous prime is 402240365299. The next prime is 402240365323. The reversal of 402240365320 is 23563042204.

It is a super-3 number, since 3×4022403653203 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (402240365323) 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 15 ways as a sum of consecutive naturals, for example, 956137 + ... + 1310983.

It is an arithmetic number, because the mean of its divisors is an integer number (14982126120).

Almost surely, 2402240365320 is an apocalyptic number.

402240365320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

402240365320 is an abundant number, since it is smaller than the sum of its proper divisors (556615706360).

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

402240365320 is a wasteful number, since it uses less digits than its factorization.

402240365320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356542 (or 356538 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

The spelling of 402240365320 in words is "four hundred two billion, two hundred forty million, three hundred sixty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 1667 3334 6668 8335 13336 16670 28339 33340 56678 66680 113356 141695 226712 283390 354847 566780 709694 1133560 1419388 1774235 2838776 3548470 6032399 7096940 12064798 14193880 24129596 30161995 48259192 60323990 120647980 241295960 591529949 1183059898 2366119796 2957649745 4732239592 5915299490 10056009133 11830598980 20112018266 23661197960 40224036532 50280045665 80448073064 100560091330 201120182660 402240365320