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339850874142 = 2321321317691109
BaseRepresentation
bin1001111001000001011…
…00001100110100011110
31012111012210101012000200
410330200230030310132
521032003310433032
6420043023404330
733360551524023
oct4744054146436
91174183335020
10339850874142
11121147a5a92a
1255a474536a6
132608102a100
141263d9b154a
158c9103a47c
hex4f20b0cd1e

339850874142 has 144 divisors (see below), whose sum is σ = 805199194800. Its totient is φ = 103542865920.

The previous prime is 339850874117. The next prime is 339850874183. The reversal of 339850874142 is 241478058933.

It is a happy number.

339850874142 is a `hidden beast` number, since 3 + 3 + 98 + 508 + 7 + 4 + 1 + 42 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 306447484 + ... + 306448592.

It is an arithmetic number, because the mean of its divisors is an integer number (5591661075).

Almost surely, 2339850874142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 339850874142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402599597400).

339850874142 is an abundant number, since it is smaller than the sum of its proper divisors (465348320658).

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

339850874142 is a wasteful number, since it uses less digits than its factorization.

339850874142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2043 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 339850874142 in words is "three hundred thirty-nine billion, eight hundred fifty million, eight hundred seventy-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 131 169 234 262 338 393 507 769 786 1014 1109 1179 1521 1538 1703 2218 2307 2358 3042 3327 3406 4614 5109 6654 6921 9981 9997 10218 13842 14417 15327 19962 19994 22139 28834 29991 30654 43251 44278 59982 66417 86502 89973 100739 129753 129961 132834 145279 179946 187421 199251 201478 259506 259922 290558 302217 374842 389883 398502 435837 562263 604434 779766 852821 871674 906651 1124526 1169649 1307511 1309607 1686789 1705642 1813302 1888627 2339298 2558463 2615022 2619214 3373578 3777254 3928821 5116926 5665881 7675389 7857642 11086673 11331762 11786463 15350778 16997643 17024891 22173346 23572926 24552151 33260019 33995286 34049782 49104302 51074673 66520038 73656453 99780057 102149346 111719551 144126749 147312906 153224019 199560114 220969359 223439102 288253498 306448038 335158653 432380247 441938718 670317306 864760494 1005475959 1297140741 1452354163 2010951918 2594281482 2904708326 4357062489 8714124978 13071187467 18880604119 26142374934 37761208238 56641812357 113283624714 169925437071 339850874142