Search a number
-
+
1330343731188 = 2233223172332059
BaseRepresentation
bin10011010110111110101…
…010100101111111110100
311201011211221102201011000
4103112332222211333310
5133244020443344223
62455052415043300
7165054105065103
oct23267652457764
94634757381130
101330343731188
1147321739958a
121959b5510530
13985b275c274
144856350c03a
1524912cea543
hex135beaa5ff4

1330343731188 has 96 divisors (see below), whose sum is σ = 3466624716800. Its totient is φ = 441189376992.

The previous prime is 1330343731141. The next prime is 1330343731231. The reversal of 1330343731188 is 8811373430331.

1330343731188 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 3 + 437 + 31 + 188 = 666.

It is a super-2 number, since 2×13303437311882 (a number of 25 digits) contains 22 as substring.

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, 41480703 + ... + 41512761.

Almost surely, 21330343731188 is an apocalyptic number.

1330343731188 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330343731188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733312358400).

1330343731188 is an abundant number, since it is smaller than the sum of its proper divisors (2136280985612).

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

1330343731188 is a wasteful number, since it uses less digits than its factorization.

1330343731188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34018 (or 34010 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 1330343731188 in words is "one trillion, three hundred thirty billion, three hundred forty-three million, seven hundred thirty-one thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 223 446 669 892 1338 1723 2007 2676 3446 4014 5169 6021 6892 8028 10338 12042 15507 20676 24084 31014 32059 46521 62028 64118 93042 96177 128236 186084 192354 288531 384229 384708 577062 768458 865593 1152687 1154124 1536916 1731186 2305374 3458061 3462372 4610748 6916122 7149157 10374183 13832244 14298314 20748366 21447471 28596628 41496732 42894942 55237657 64342413 85789884 110475314 128684826 165712971 193027239 220950628 257369652 331425942 386054478 497138913 662851884 772108956 994277826 1491416739 1988555652 2982833478 5965666956 12317997511 24635995022 36953992533 49271990044 73907985066 110861977599 147815970132 221723955198 332585932797 443447910396 665171865594 1330343731188