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41282744034 = 23759113379389
BaseRepresentation
bin100110011100101001…
…001010111011100010
310221120001202200111210
4212130221022323202
51134021340302114
630544240250550
72661011351220
oct463451127342
9127501680453
1041282744034
111656503a684
128001610a56
133b7ba580bc
141dd8ab9b10
151119419259
hex99ca4aee2

41282744034 has 128 divisors (see below), whose sum is σ = 97314048000. Its totient is φ = 11432752128.

The previous prime is 41282743987. The next prime is 41282744059. The reversal of 41282744034 is 43044728214.

41282744034 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 41282743983 and 41282744001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106125112 + ... + 106125500.

It is an arithmetic number, because the mean of its divisors is an integer number (760266000).

Almost surely, 241282744034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41282744034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48657024000).

41282744034 is an abundant number, since it is smaller than the sum of its proper divisors (56031303966).

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

41282744034 is a wasteful number, since it uses less digits than its factorization.

41282744034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952.

The product of its (nonzero) digits is 172032, while the sum is 39.

The spelling of 41282744034 in words is "forty-one billion, two hundred eighty-two million, seven hundred forty-four thousand, thirty-four".

Divisors: 1 2 3 6 7 14 21 42 59 113 118 177 226 339 354 379 389 413 678 758 778 791 826 1137 1167 1239 1582 2274 2334 2373 2478 2653 2723 4746 5306 5446 6667 7959 8169 13334 15918 16338 20001 22361 22951 40002 42827 43957 44722 45902 46669 67083 68853 85654 87914 93338 128481 131871 134166 137706 140007 147431 156527 160657 256962 263742 280014 294862 299789 307699 313054 321314 442293 469581 481971 599578 615398 884586 899367 923097 939162 963942 1032017 1798734 1846194 2064034 2526793 2593463 3096051 5053586 5186926 6192102 7580379 7780389 8698429 15160758 15560778 16659703 17396858 17687551 18154241 26095287 33319406 35375102 36308482 49979109 52190574 53062653 54462723 60889003 99958218 106125306 108925446 116617921 121778006 182667009 233235842 349853763 365334018 699707526 982922477 1965844954 2948767431 5897534862 6880457339 13760914678 20641372017 41282744034