Search a number
-
+
134133012024 = 2331123101218717
BaseRepresentation
bin111110011101011110…
…0110101011000111000
3110211012221221000021020
41330322330311120320
54144201022341044
6141341515542440
712455640535044
oct1747274653070
9424187830236
10134133012024
1151981652250
1221bb4a5aa20
13c85822798b
1466c6365024
153750b0ea19
hex1f3af35638

134133012024 has 128 divisors (see below), whose sum is σ = 385503598080. Its totient is φ = 38494016000.

The previous prime is 134133011989. The next prime is 134133012071. The reversal of 134133012024 is 420210331431.

It is a happy number.

134133012024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 134133011985 and 134133012003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 503914 + ... + 722630.

It is an arithmetic number, because the mean of its divisors is an integer number (3011746860).

Almost surely, 2134133012024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134133012024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192751799040).

134133012024 is an abundant number, since it is smaller than the sum of its proper divisors (251370586056).

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

134133012024 is a wasteful number, since it uses less digits than its factorization.

134133012024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218861 (or 218857 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 134133012024 its reverse (420210331431), we get a palindrome (554343343455).

The spelling of 134133012024 in words is "one hundred thirty-four billion, one hundred thirty-three million, twelve thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 101 132 138 184 202 253 264 276 303 404 506 552 606 759 808 1012 1111 1212 1518 2024 2222 2323 2424 3036 3333 4444 4646 6072 6666 6969 8888 9292 13332 13938 18584 25553 26664 27876 51106 55752 76659 102212 153318 204424 218717 306636 437434 613272 656151 874868 1312302 1749736 2405887 2624604 4811774 5030491 5249208 7217661 9623548 10060982 14435322 15091473 19247096 20121964 22090417 28870644 30182946 40243928 44180834 55335401 57741288 60365892 66271251 88361668 110670802 120731784 132542502 166006203 176723336 221341604 242994587 265085004 332012406 442683208 485989174 508079591 530170008 664024812 728983761 971978348 1016159182 1328049624 1457967522 1524238773 1943956696 2032318364 2915935044 3048477546 4064636728 5588875501 5831870088 6096955092 11177751002 12193910184 16766626503 22355502004 33533253006 44711004008 67066506012 134133012024