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342254135553240 = 23357174354065509
BaseRepresentation
bin100110111010001110100000…
…0001011000010110011011000
31122212211011202011121011210110
41031310131000023002303120
5324324442432200200430
63211525213532244320
7132043021351565151
oct11564350013026330
91585734664534713
10342254135553240
119a064188a77a19
12324771896106a0
13118c8571025541
14607328d530928
152987c374717b0
hex13747402c2cd8

342254135553240 has 128 divisors (see below), whose sum is σ = 1042625246284800. Its totient is φ = 89861199536640.

The previous prime is 342254135553203. The next prime is 342254135553263. The reversal of 342254135553240 is 42355531452243.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 342254135553240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20702395 + ... + 33363114.

It is an arithmetic number, because the mean of its divisors is an integer number (8145509736600).

Almost surely, 2342254135553240 is an apocalyptic number.

342254135553240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

342254135553240 is an abundant number, since it is smaller than the sum of its proper divisors (700371110731560).

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

342254135553240 is a wasteful number, since it uses less digits than its factorization.

342254135553240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54066337 (or 54066333 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 48.

The spelling of 342254135553240 in words is "three hundred forty-two trillion, two hundred fifty-four billion, one hundred thirty-five million, five hundred fifty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 284 355 426 568 710 743 852 1065 1420 1486 1704 2130 2229 2840 2972 3715 4260 4458 5944 7430 8520 8916 11145 14860 17832 22290 29720 44580 52753 89160 105506 158259 211012 263765 316518 422024 527530 633036 791295 1055060 1266072 1582590 2110120 3165180 6330360 54065509 108131018 162196527 216262036 270327545 324393054 432524072 540655090 648786108 810982635 1081310180 1297572216 1621965270 2162620360 3243930540 3838651139 6487861080 7677302278 11515953417 15354604556 19193255695 23031906834 30709209112 38386511390 40170673187 46063813668 57579767085 76773022780 80341346374 92127627336 115159534170 120512019561 153546045560 160682692748 200853365935 230319068340 241024039122 321365385496 401706731870 460638136680 482048078244 602560097805 803413463740 964096156488 1205120195610 1606826927480 2410240391220 2852117796277 4820480782440 5704235592554 8556353388831 11408471185108 14260588981385 17112706777662 22816942370216 28521177962770 34225413555324 42781766944155 57042355925540 68450827110648 85563533888310 114084711851080 171127067776620 342254135553240