Search a number
-
+
133565642032040 = 23523266815441327
BaseRepresentation
bin11110010111101000101100…
…101001011100001110101000
3122111220202021020120000011022
4132113220230221130032220
5120001314413330011130
61152023113041152012
740063541060000021
oct3627505451341650
9574822236500138
10133565642032040
1139615963972659
1212b91abb32b608
13596b255842c1a
1424da87c1d7c48
15106953764b7e5
hex797a2ca5c3a8

133565642032040 has 64 divisors (see below), whose sum is σ = 313600709583360. Its totient is φ = 51101451343360.

The previous prime is 133565642031979. The next prime is 133565642032049. The reversal of 133565642032040 is 40230246565331.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 133565642031982 and 133565642032000.

It is not an unprimeable number, because it can be changed into a prime (133565642032049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21825857 + ... + 27267183.

It is an arithmetic number, because the mean of its divisors is an integer number (4900011087240).

Almost surely, 2133565642032040 is an apocalyptic number.

133565642032040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133565642032040 is an abundant number, since it is smaller than the sum of its proper divisors (180035067551320).

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

133565642032040 is a wasteful number, since it uses less digits than its factorization.

133565642032040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5468042 (or 5468038 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 44.

Adding to 133565642032040 its reverse (40230246565331), we get a palindrome (173795888597371).

The spelling of 133565642032040 in words is "one hundred thirty-three trillion, five hundred sixty-five billion, six hundred forty-two million, thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 26681 53362 106724 133405 213448 266810 533620 613663 1067240 1227326 2454652 3068315 4909304 5441327 6136630 10882654 12273260 21765308 24546520 27206635 43530616 54413270 108826540 125150521 217653080 250301042 500602084 625752605 1001204168 1251505210 2503010420 5006020840 145180045687 290360091374 580720182748 725900228435 1161440365496 1451800456870 2903600913740 3339141050801 5807201827480 6678282101602 13356564203204 16695705254005 26713128406408 33391410508010 66782821016020 133565642032040