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349729546140 = 2232513149457071
BaseRepresentation
bin1010001011011011000…
…00010101111110011100
31020102201020211201102100
411011231200111332130
521212221230434030
6424355153525100
734160424044022
oct5055540257634
91212636751370
10349729546140
11125357236367
1257943873790
1326c96847060
1412cd9990712
15916d42e360
hex516d815f9c

349729546140 has 72 divisors (see below), whose sum is σ = 1142449858368. Its totient is φ = 86087272320.

The previous prime is 349729546043. The next prime is 349729546141. The reversal of 349729546140 is 41645927943.

349729546140 is a `hidden beast` number, since 3 + 4 + 97 + 2 + 9 + 546 + 1 + 4 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349729546141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74726196 + ... + 74730875.

It is an arithmetic number, because the mean of its divisors is an integer number (15867359144).

Almost surely, 2349729546140 is an apocalyptic number.

349729546140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

349729546140 is an abundant number, since it is smaller than the sum of its proper divisors (792720312228).

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

349729546140 is a wasteful number, since it uses less digits than its factorization.

349729546140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149457099 (or 149457094 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 349729546140 in words is "three hundred forty-nine billion, seven hundred twenty-nine million, five hundred forty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 149457071 298914142 448371213 597828284 747285355 896742426 1345113639 1494570710 1793484852 1942941923 2241856065 2690227278 2989141420 3885883846 4483712130 5380454556 5828825769 6725568195 7771767692 8967424260 9714709615 11657651538 13451136390 17486477307 19429419230 23315303076 26902272780 29144128845 34972954614 38858838460 58288257690 69945909228 87432386535 116576515380 174864773070 349729546140