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342114043030440 = 233519227661013299
BaseRepresentation
bin100110111001001101010001…
…0000000011110101110101000
31122212022210010212210122121220
41031302122202000132232220
5324320144030003433230
63211341004403302040
7132026631625025112
oct11562324200365650
91585283125718556
10342114043030440
119a00a82943a05a
1232453bb097a920
13118b82a623a235
14606a59d8da3b2
152984288575d10
hex13726a201eba8

342114043030440 has 128 divisors (see below), whose sum is σ = 1085119433280000. Its totient is φ = 86048067080448.

The previous prime is 342114043030423. The next prime is 342114043030447. The reversal of 342114043030440 is 44030340411243.

It is not an unprimeable number, because it can be changed into a prime (342114043030447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 329989090 + ... + 331024209.

It is an arithmetic number, because the mean of its divisors is an integer number (8477495572500).

Almost surely, 2342114043030440 is an apocalyptic number.

342114043030440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

342114043030440 is an abundant number, since it is smaller than the sum of its proper divisors (743005390249560).

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

342114043030440 is a wasteful number, since it uses less digits than its factorization.

342114043030440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661013559 (or 661013555 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 342114043030440 its reverse (44030340411243), we get a palindrome (386144383441683).

The spelling of 342114043030440 in words is "three hundred forty-two trillion, one hundred fourteen billion, forty-three million, thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 227 228 285 380 454 456 570 681 760 908 1135 1140 1362 1816 2270 2280 2724 3405 4313 4540 5448 6810 8626 9080 12939 13620 17252 21565 25878 27240 34504 43130 51756 64695 86260 103512 129390 172520 258780 517560 661013299 1322026598 1983039897 2644053196 3305066495 3966079794 5288106392 6610132990 7932159588 9915199485 12559252681 13220265980 15864319176 19830398970 25118505362 26440531960 37677758043 39660797940 50237010724 62796263405 75355516086 79321595880 100474021448 125592526810 150050018873 150711032172 188388790215 251185053620 300100037746 301422064344 376777580430 450150056619 502370107240 600200075492 750250094365 753555160860 900300113238 1200400150984 1500500188730 1507110321720 1800600226476 2250750283095 2850950358587 3001000377460 3601200452952 4501500566190 5701900717174 6002000754920 8552851075761 9003001132380 11403801434348 14254751792935 17105702151522 18006002264760 22807602868696 28509503585870 34211404303044 42764255378805 57019007171740 68422808606088 85528510757610 114038014343480 171057021515220 342114043030440