Search a number
-
+
312141130001304 = 233372347149770039
BaseRepresentation
bin100011011111001000000010…
…1001011000110101110011000
31111221012101211001000120202220
41012332100011023012232120
5311403110013240020204
63023511353332024040
7122514311120640252
oct10676200513065630
91457171731016686
10312141130001304
119050434542413a
122b013060a62020
1310522a2280cac6
1457119d5b50cd2
1526147917b11d9
hex11be4052c6b98

312141130001304 has 64 divisors (see below), whose sum is σ = 801784922937600. Its totient is φ = 101191826634624.

The previous prime is 312141130001293. The next prime is 312141130001333. The reversal of 312141130001304 is 403100031141213.

It is a happy number.

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

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, 72800884 + ... + 76969155.

It is an arithmetic number, because the mean of its divisors is an integer number (12527889420900).

Almost surely, 2312141130001304 is an apocalyptic number.

It is an amenable number.

312141130001304 is an abundant number, since it is smaller than the sum of its proper divisors (489643792936296).

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

312141130001304 is a wasteful number, since it uses less digits than its factorization.

312141130001304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149772432 (or 149772428 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 312141130001304 its reverse (403100031141213), we get a palindrome (715241161142517).

The spelling of 312141130001304 in words is "three hundred twelve trillion, one hundred forty-one billion, one hundred thirty million, one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 2347 4694 7041 9388 14082 18776 28164 56328 86839 173678 260517 347356 521034 694712 1042068 2084136 149770039 299540078 449310117 599080156 898620234 1198160312 1797240468 3594480936 5541491443 11082982886 16624474329 22165965772 33248948658 44331931544 66497897316 132995794632 351510281533 703020563066 1054530844599 1406041126132 2109061689198 2812082252264 4218123378396 8436246756792 13005880416721 26011760833442 39017641250163 52023521666884 78035282500326 104047043333768 156070565000652 312141130001304