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347142440412 = 223280911919463
BaseRepresentation
bin1010000110100110100…
…11010100010111011100
31020012000221202010112200
411003103103110113130
521141421431043122
6423250335131500
734036341025515
oct5032323242734
91205027663480
10347142440412
11124249948559
1257341373b90
132697386a171
1412b32147a0c
15906b2495ac
hex50d34d45dc

347142440412 has 36 divisors (see below), whose sum is σ = 878583691440. Its totient is φ = 115571103552.

The previous prime is 347142440399. The next prime is 347142440413. The reversal of 347142440412 is 214044241743.

347142440412 is a `hidden beast` number, since 34 + 7 + 142 + 440 + 41 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (347142440413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5930608 + ... + 5988855.

It is an arithmetic number, because the mean of its divisors is an integer number (24405102540).

Almost surely, 2347142440412 is an apocalyptic number.

It is an amenable number.

347142440412 is an abundant number, since it is smaller than the sum of its proper divisors (531441251028).

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

347142440412 is a wasteful number, since it uses less digits than its factorization.

347142440412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11920282 (or 11920277 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 347142440412 in words is "three hundred forty-seven billion, one hundred forty-two million, four hundred forty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 809 1618 2427 3236 4854 7281 9708 14562 29124 11919463 23838926 35758389 47677852 71516778 107275167 143033556 214550334 429100668 9642845567 19285691134 28928536701 38571382268 57857073402 86785610103 115714146804 173571220206 347142440412