Search a number
-
+
342003741723120 = 24358340117086313
BaseRepresentation
bin100110111000011001111001…
…1100010011000100111110000
31122211221020102210102200022110
41031300303303202120213300
5324311342130340114440
63211214203331405320
7132015645354261501
oct11560636342304760
91584836383380273
10342003741723120
1199a77a77202334
1232436749153840
13118aaa784a5499
1460650d86c2ba8
15298147ecb2080
hex1370cf38989f0

342003741723120 has 80 divisors (see below), whose sum is σ = 1060224373609632. Its totient is φ = 91199898931200.

The previous prime is 342003741723097. The next prime is 342003741723151. The reversal of 342003741723120 is 21327147300243.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3420037417231202 (a number of 30 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 15 ways as a sum of consecutive naturals, for example, 11473084 + ... + 28559396.

Almost surely, 2342003741723120 is an apocalyptic number.

342003741723120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

342003741723120 is an abundant number, since it is smaller than the sum of its proper divisors (718220631886512).

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

342003741723120 is a wasteful number, since it uses less digits than its factorization.

342003741723120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17169730 (or 17169724 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 39.

The spelling of 342003741723120 in words is "three hundred forty-two trillion, three billion, seven hundred forty-one million, seven hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 83401 166802 250203 333604 417005 500406 667208 834010 1000812 1251015 1334416 1668020 2001624 2502030 3336040 4003248 5004060 6672080 10008120 17086313 20016240 34172626 51258939 68345252 85431565 102517878 136690504 170863130 205035756 256294695 273381008 341726260 410071512 512589390 683452520 820143024 1025178780 1366905040 2050357560 4100715120 1425015590513 2850031181026 4275046771539 5700062362052 7125077952565 8550093543078 11400124724104 14250155905130 17100187086156 21375233857695 22800249448208 28500311810260 34200374172312 42750467715390 57000623620520 68400748344624 85500935430780 114001247241040 171001870861560 342003741723120