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312134121141304 = 237111973365328937
BaseRepresentation
bin100011011111000100110001…
…1011010011011010000111000
31111221011201201120121121100111
41012332021203122123100320
5311403001140003010204
63023504234035514104
7122513642333420140
oct10676114332332070
91457151646547314
10312134121141304
1190501379078960
122b011825758934
1310522176724177
14571152cd69920
1526144d12e6d04
hex11be26369b438

312134121141304 has 128 divisors (see below), whose sum is σ = 778589032665600. Its totient is φ = 113631912253440.

The previous prime is 312134121141301. The next prime is 312134121141317. The reversal of 312134121141304 is 403141121431213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312134121141301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181810077 + ... + 183518860.

It is an arithmetic number, because the mean of its divisors is an integer number (6082726817700).

Almost surely, 2312134121141304 is an apocalyptic number.

It is an amenable number.

312134121141304 is an abundant number, since it is smaller than the sum of its proper divisors (466454911524296).

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

312134121141304 is a wasteful number, since it uses less digits than its factorization.

312134121141304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365329053 (or 365329049 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

Adding to 312134121141304 its reverse (403141121431213), we get a palindrome (715275242572517).

The spelling of 312134121141304 in words is "three hundred twelve trillion, one hundred thirty-four billion, one hundred twenty-one million, one hundred forty-one thousand, three hundred four".

Divisors: 1 2 4 7 8 11 14 19 22 28 38 44 56 73 76 77 88 133 146 152 154 209 266 292 308 418 511 532 584 616 803 836 1022 1064 1387 1463 1606 1672 2044 2774 2926 3212 4088 5548 5621 5852 6424 9709 11096 11242 11704 15257 19418 22484 30514 38836 44968 61028 77672 106799 122056 213598 427196 854392 365328937 730657874 1461315748 2557302559 2922631496 4018618307 5114605118 6941249803 8037236614 10229210236 13882499606 16074473228 20458420472 26669012401 27764999212 28130328149 32148946456 48588748621 53338024802 55529998424 56260656298 76353747833 97177497242 106676049604 112521312596 152707495666 186683086807 194354994484 213352099208 225042625192 293359136411 305414991332 373366173614 388709988968 506711235619 534476234831 586718272822 610829982664 746732347228 1013422471238 1068952469662 1173436545644 1493464694456 2026844942476 2053513954877 2137904939324 2346873091288 3546978649333 4053689884952 4107027909754 4275809878648 5573823591809 7093957298666 8214055819508 11147647183618 14187914597332 16428111639016 22295294367236 28375829194664 39016765142663 44590588734472 78033530285326 156067060570652 312134121141304