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344042020344132 = 2232111751105469451
BaseRepresentation
bin100111000111001111000011…
…0011010010001000101000100
31200010011002120221020221201200
41032032132012122101011010
5330043241024202003012
63215414420000222500
7132316133662553655
oct11616360632210504
91603132527227650
10344042020344132
119a6934463666a0
123270579460aa30
13119c803c298856
1460d5a18c9152c
1529b94c859d3dc
hex138e786691144

344042020344132 has 72 divisors (see below), whose sum is σ = 1004529107548512. Its totient is φ = 98122501344000.

The previous prime is 344042020343999. The next prime is 344042020344167. The reversal of 344042020344132 is 231443020240443.

344042020344132 is a `hidden beast` number, since 3 + 4 + 4 + 0 + 4 + 2 + 0 + 203 + 441 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25552727994 + ... + 25552741457.

It is an arithmetic number, because the mean of its divisors is an integer number (13951793160396).

Almost surely, 2344042020344132 is an apocalyptic number.

It is an amenable number.

344042020344132 is an abundant number, since it is smaller than the sum of its proper divisors (660487087204380).

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

344042020344132 is a wasteful number, since it uses less digits than its factorization.

344042020344132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51105469489 (or 51105469484 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 344042020344132 its reverse (231443020240443), we get a palindrome (575485040584575).

The spelling of 344042020344132 in words is "three hundred forty-four trillion, forty-two billion, twenty million, three hundred forty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 561 612 748 1122 1683 2244 3366 6732 51105469451 102210938902 153316408353 204421877804 306632816706 459949225059 562160163961 613265633412 868792980667 919898450118 1124320327922 1686480491883 1737585961334 1839796900236 2248640655844 2606378942001 3372960983766 3475171922668 5059441475649 5212757884002 6745921967532 7819136826003 9556722787337 10118882951298 10425515768004 15638273652006 19113445574674 20237765902596 28670168362011 31276547304012 38226891149348 57340336724022 86010505086033 114680673448044 172021010172066 344042020344132