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42234644512016 = 241117179353922283
BaseRepresentation
bin10011001101001100001001…
…11110111011110100010000
312112112120222222211002212122
421212212010332323310100
521013433022443341031
6225454154451313412
711616231602020025
oct1146460476736420
9175476888732778
1042234644512016
1112503680854770
1248a1434bab868
131a7492c816848
14a6024c25b54c
154d39478ce47b
hex266984fbbd10

42234644512016 has 160 divisors (see below), whose sum is σ = 95078946700800. Its totient is φ = 17961473853440.

The previous prime is 42234644511991. The next prime is 42234644512019. The reversal of 42234644512016 is 61021544643224.

42234644512016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (42234644512019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1895364011 + ... + 1895386293.

It is an arithmetic number, because the mean of its divisors is an integer number (594243416880).

Almost surely, 242234644512016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42234644512016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47539473350400).

42234644512016 is an abundant number, since it is smaller than the sum of its proper divisors (52844302188784).

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

42234644512016 is a wasteful number, since it uses less digits than its factorization.

42234644512016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26037 (or 26031 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 44.

The spelling of 42234644512016 in words is "forty-two trillion, two hundred thirty-four billion, six hundred forty-four million, five hundred twelve thousand, sixteen".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 136 176 179 187 272 358 374 716 748 1432 1496 1969 2864 2992 3043 3539 3938 6086 7078 7876 12172 14156 15752 22283 24344 28312 31504 33473 38929 44566 48688 56624 60163 66946 77858 89132 120326 133892 155716 178264 240652 245113 267784 311432 356528 378811 481304 490226 535568 622864 633481 661793 757622 962608 980452 1266962 1323586 1515244 1960904 2533924 2647172 3030488 3921808 3988657 4166921 5067848 5294344 6060976 6968291 7977314 8333842 10135696 10588688 10769177 13936582 15954628 16667684 21538354 27873164 31909256 33335368 43076708 43875227 55746328 63818512 66670736 67807169 78859537 86153416 87750454 111492656 118460947 135614338 157719074 172306832 175500908 236921894 271228676 315438148 351001816 473843788 542457352 630876296 702003632 745878859 867454907 947687576 1084914704 1261752592 1340612129 1491757718 1734909814 1895375152 2681224258 2983515436 3469819628 5362448516 5967030872 6939639256 10724897032 11934061744 13879278512 14115857123 14746733419 21449794064 28231714246 29493466838 56463428492 58986933676 112926856984 117973867352 155274428353 225853713968 235947734704 239969571091 310548856706 479939142182 621097713412 959878284364 1242195426824 1919756568728 2484390853648 2639665282001 3839513137456 5279330564002 10558661128004 21117322256008 42234644512016