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342918723323808 = 25323144621860791
BaseRepresentation
bin100110111111000011111110…
…0101100001100011110100000
31122222011201011102201221010100
41031332013330230030132200
5324421340021132330213
63213154404154502400
7132142026432460242
oct11576077454143640
91588151142657110
10342918723323808
119a2a00174974a5
1232563b42734a00
1311946134a37968
1460974d76a0092
15299a1826bb773
hex137e1fcb0c7a0

342918723323808 has 144 divisors (see below), whose sum is σ = 1006656110433792. Its totient is φ = 110616335424000.

The previous prime is 342918723323801. The next prime is 342918723323843. The reversal of 342918723323808 is 808323327819243.

342918723323808 is a `hidden beast` number, since 3 + 4 + 2 + 9 + 18 + 7 + 233 + 2 + 380 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (342918723323801) 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, 397945893 + ... + 398806683.

It is an arithmetic number, because the mean of its divisors is an integer number (6990667433568).

Almost surely, 2342918723323808 is an apocalyptic number.

It is an amenable number.

342918723323808 is an abundant number, since it is smaller than the sum of its proper divisors (663737387109984).

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

342918723323808 is a wasteful number, since it uses less digits than its factorization.

342918723323808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905459 (or 905448 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 342918723323808 in words is "three hundred forty-two trillion, nine hundred eighteen billion, seven hundred twenty-three million, three hundred twenty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 8928 44621 89242 133863 178484 267726 356968 401589 535452 713936 803178 860791 1070904 1383251 1427872 1606356 1721582 2141808 2582373 2766502 3212712 3443164 4149753 4283616 5164746 5533004 6425424 6886328 7747119 8299506 10329492 11066008 12449259 12850848 13772656 15494238 16599012 20658984 22132016 24898518 26684521 27545312 30988476 33198024 41317968 44264032 49797036 53369042 61976952 66396048 80053563 82635936 99594072 106738084 123953904 132792096 160107126 199188144 213476168 240160689 247907808 320214252 398376288 426952336 480321378 640428504 853904672 960642756 1280857008 1921285512 2561714016 3842571024 7685142048 38409355211 76818710422 115228065633 153637420844 230456131266 307274841688 345684196899 460912262532 614549683376 691368393798 921824525064 1190690011541 1229099366752 1382736787596 1843649050128 2381380023082 2765473575192 3572070034623 3687298100256 4762760046164 5530947150384 7144140069246 9525520092328 10716210103869 11061894300768 14288280138492 19051040184656 21432420207738 28576560276984 38102080369312 42864840415476 57153120553968 85729680830952 114306241107936 171459361661904 342918723323808