Search a number
-
+
133344361248 = 2537316400939
BaseRepresentation
bin111110000101111110…
…0010111101100100000
3110202011222221101210020
41330023330113230200
54141042124024443
6141131344233440
712430253240460
oct1741374275440
9422158841706
10133344361248
115160746324a
1221a1490b880
13c760a19807
14664d711ba0
15370677a583
hex1f0bf17b20

133344361248 has 96 divisors (see below), whose sum is σ = 412937441280. Its totient is φ = 36869402880.

The previous prime is 133344361231. The next prime is 133344361313. The reversal of 133344361248 is 842163443331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3179638 + ... + 3221301.

It is an arithmetic number, because the mean of its divisors is an integer number (4301431680).

Almost surely, 2133344361248 is an apocalyptic number.

It is an amenable number.

133344361248 is an abundant number, since it is smaller than the sum of its proper divisors (279593080032).

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

133344361248 is a wasteful number, since it uses less digits than its factorization.

133344361248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6400990 (or 6400982 counting only the distinct ones).

The product of its digits is 497664, while the sum is 42.

The spelling of 133344361248 in words is "one hundred thirty-three billion, three hundred forty-four million, three hundred sixty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 112 124 168 186 217 224 248 336 372 434 496 651 672 744 868 992 1302 1488 1736 2604 2976 3472 5208 6944 10416 20832 6400939 12801878 19202817 25603756 38405634 44806573 51207512 76811268 89613146 102415024 134419719 153622536 179226292 198429109 204830048 268839438 307245072 358452584 396858218 537678876 595287327 614490144 716905168 793716436 1075357752 1190574654 1389003763 1433810336 1587432872 2150715504 2381149308 2778007526 3174865744 4167011289 4301431008 4762298616 5556015052 6349731488 8334022578 9524597232 11112030104 16668045156 19049194464 22224060208 33336090312 44448120416 66672180624 133344361248