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330240142321340 = 225611911637865741
BaseRepresentation
bin100101100010110100000011…
…0010111111010011010111100
31121022021122112022210020111212
41023011220012113322122330
5321241123302413240330
63130210121010503552
7126363030404213156
oct11305500627723274
91538248468706455
10330240142321340
119625206aaa7959
1231056903594bb8
13112366865565a4
145b799cb31bad6
15282a485d08295
hex12c5a065fa6bc

330240142321340 has 96 divisors (see below), whose sum is σ = 708997319267328. Its totient is φ = 129171178368000.

The previous prime is 330240142321301. The next prime is 330240142321391. The reversal of 330240142321340 is 43123241042033.

It is a junction number, because it is equal to n+sod(n) for n = 330240142321297 and 330240142321306.

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, 381020870 + ... + 381886610.

It is an arithmetic number, because the mean of its divisors is an integer number (7385388742368).

Almost surely, 2330240142321340 is an apocalyptic number.

It is an amenable number.

330240142321340 is an abundant number, since it is smaller than the sum of its proper divisors (378757176945988).

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

330240142321340 is a wasteful number, since it uses less digits than its factorization.

330240142321340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867639 (or 867637 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 330240142321340 its reverse (43123241042033), we get a palindrome (373363383363373).

The spelling of 330240142321340 in words is "three hundred thirty trillion, two hundred forty billion, one hundred forty-two million, three hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 61 122 191 244 305 382 610 764 955 1220 1637 1910 3274 3820 6548 8185 11651 16370 23302 32740 46604 58255 99857 116510 199714 233020 312667 399428 499285 625334 865741 998570 1250668 1563335 1731482 1997140 3126670 3462964 4328705 6253340 8657410 17314820 19072687 38145374 52810201 76290748 95363435 105620402 165356531 190726870 211240804 264051005 330713062 381453740 528102010 661426124 826782655 1056204020 1417218017 1653565310 2834436034 3307130620 5668872068 7086090085 10086748391 14172180170 20173496782 28344360340 40346993564 50433741955 86450299037 100867483910 172900598074 201734967820 270688641247 345801196148 432251495185 541377282494 864502990370 1082754564988 1353443206235 1729005980740 2706886412470 5413772824940 16512007116067 33024014232134 66048028464268 82560035580335 165120071160670 330240142321340