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312141433102404 = 223149233669747107
BaseRepresentation
bin100011011111001000001011…
…1001111010110000001000100
31111221012102121011100201022120
41012332100113033112001010
5311403111123333234104
63023511443400325540
7122514321461154033
oct10676202717260104
91457172534321276
10312141433102404
1190504490526514
122b0131264738b0
1310522a70555279
145711a240d071a
1526147ad1d3cd9
hex11be4173d6044

312141433102404 has 48 divisors (see below), whose sum is σ = 733222250712000. Its totient is φ = 103348260766336.

The previous prime is 312141433102321. The next prime is 312141433102439. The reversal of 312141433102404 is 404201334141213.

It is a happy 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, 417426619 + ... + 418173725.

It is an arithmetic number, because the mean of its divisors is an integer number (15275463556500).

Almost surely, 2312141433102404 is an apocalyptic number.

It is an amenable number.

312141433102404 is an abundant number, since it is smaller than the sum of its proper divisors (421080817609596).

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

312141433102404 is a wasteful number, since it uses less digits than its factorization.

312141433102404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980932 (or 980930 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 312141433102404 its reverse (404201334141213), we get a palindrome (716342767243617).

The spelling of 312141433102404 in words is "three hundred twelve trillion, one hundred forty-one billion, four hundred thirty-three million, one hundred two thousand, four hundred four".

Divisors: 1 2 3 4 6 12 149 298 447 596 894 1788 233669 467338 701007 747107 934676 1402014 1494214 2241321 2804028 2988428 4482642 8965284 34816681 69633362 104450043 111318943 139266724 208900086 222637886 333956829 417800172 445275772 667913658 1335827316 174575745583 349151491166 523727236749 698302982332 1047454473498 2094908946996 26011786091867 52023572183734 78035358275601 104047144367468 156070716551202 312141433102404