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342011413432134 = 232376126713151829
BaseRepresentation
bin100110111000011101011110…
…0110011101000011101000110
31122211221222020110002212122100
41031300322330303220131012
5324312003333314312014
63211221512503012530
7132016336440602205
oct11560727463503506
91584858213085570
10342011413432134
1199a80253732916
123243812a43a146
13118ab6cb9c3684
14606562553123c
15298177d561009
hex1370ebcce8746

342011413432134 has 96 divisors (see below), whose sum is σ = 773818541907840. Its totient is φ = 109063334649600.

The previous prime is 342011413432123. The next prime is 342011413432141. The reversal of 342011413432134 is 431234314110243.

342011413432134 is a `hidden beast` number, since 3 + 4 + 20 + 1 + 1 + 413 + 4 + 3 + 213 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106936132 + ... + 110087960.

It is an arithmetic number, because the mean of its divisors is an integer number (8060609811540).

Almost surely, 2342011413432134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342011413432134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386909270953920).

342011413432134 is an abundant number, since it is smaller than the sum of its proper divisors (431807128475706).

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

342011413432134 is a wasteful number, since it uses less digits than its factorization.

342011413432134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3154606 (or 3154603 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 342011413432134 its reverse (431234314110243), we get a palindrome (773245727542377).

The spelling of 342011413432134 in words is "three hundred forty-two trillion, eleven billion, four hundred thirteen million, four hundred thirty-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 37 61 74 111 122 183 222 333 366 549 666 1098 2257 2671 4514 5342 6771 8013 13542 16026 20313 24039 40626 48078 98827 162931 197654 296481 325862 488793 592962 889443 977586 1466379 1778886 2932758 3151829 6028447 6303658 9455487 12056894 18085341 18910974 28366461 36170682 54256023 56732922 108512046 116617673 192261569 233235346 349853019 384523138 576784707 699706038 1049559057 1153569414 1730354121 2099118114 3460708242 7113678053 8418535259 14227356106 16837070518 21341034159 25255605777 42682068318 50511211554 64023102477 75766817331 128046204954 151533634662 311485804583 513530650799 622971609166 934457413749 1027061301598 1540591952397 1868914827498 2803372241247 3081183904794 4621775857191 5606744482494 9243551714382 19000634079563 38001268159126 57001902238689 114003804477378 171005706716067 342011413432134