Search a number
-
+
134132004050040 = 23325589436321173
BaseRepresentation
bin11110011111111000001010…
…011101000101010001111000
3122120220220010222121112011100
4132133320022131011101320
5120040104321014100130
61153135220400531400
740152501046502463
oct3637701235052170
9576826128545140
10134132004050040
1139814077521427
1213063820920b60
1359ac7944ba069
14251a048bd82da
1510791342c9c60
hex79fe0a745478

134132004050040 has 96 divisors (see below), whose sum is σ = 435936477899520. Its totient is φ = 35767921922304.

The previous prime is 134132004050021. The next prime is 134132004050069. The reversal of 134132004050040 is 40050400231431.

It is a happy number.

134132004050040 is a `hidden beast` number, since 1 + 3 + 4 + 13 + 200 + 405 + 0 + 0 + 40 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 134132004049986 and 134132004050013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18058894 + ... + 24380066.

It is an arithmetic number, because the mean of its divisors is an integer number (4541004978120).

Almost surely, 2134132004050040 is an apocalyptic number.

134132004050040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134132004050040 is an abundant number, since it is smaller than the sum of its proper divisors (301804473849480).

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

134132004050040 is a wasteful number, since it uses less digits than its factorization.

134132004050040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6380133 (or 6380126 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 134132004050040 its reverse (40050400231431), we get a palindrome (174182404281471).

The spelling of 134132004050040 in words is "one hundred thirty-four trillion, one hundred thirty-two billion, four million, fifty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 58943 117886 176829 235772 294715 353658 471544 530487 589430 707316 884145 1060974 1178860 1414632 1768290 2121948 2357720 2652435 3536580 4243896 5304870 6321173 7073160 10609740 12642346 18963519 21219480 25284692 31605865 37927038 50569384 56890557 63211730 75854076 94817595 113781114 126423460 151708152 189635190 227562228 252846920 284452785 379270380 455124456 568905570 758540760 1137811140 2275622280 372588900139 745177800278 1117766700417 1490355600556 1862944500695 2235533400834 2980711201112 3353300101251 3725889001390 4471066801668 5588833502085 6706600202502 7451778002780 8942133603336 11177667004170 13413200405004 14903556005560 16766500506255 22355334008340 26826400810008 33533001012510 44710668016680 67066002025020 134132004050040