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42344132104302 = 23767127155976001
BaseRepresentation
bin10011010000011000000101…
…11100111101000001101110
312112221001121101001002000020
421220030002330331001232
521022231240304314202
6230020343054343010
711630156032135320
oct1150140274750156
9175831541032006
1042344132104302
1112546055733326
1248ba6b01baa66
131a8205ab05c02
14a65677379610
154d6704a0c5bc
hex268302f3d06e

42344132104302 has 128 divisors (see below), whose sum is σ = 99069446062080. Its totient is φ = 11816171136000.

The previous prime is 42344132104289. The next prime is 42344132104319. The reversal of 42344132104302 is 20340123144324.

It is a congruent number.

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, 557114302 + ... + 557190302.

It is an arithmetic number, because the mean of its divisors is an integer number (773980047360).

Almost surely, 242344132104302 is an apocalyptic number.

42344132104302 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42344132104302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49534723031040).

42344132104302 is an abundant number, since it is smaller than the sum of its proper divisors (56725313957778).

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

42344132104302 is a wasteful number, since it uses less digits than its factorization.

42344132104302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77766.

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

Adding to 42344132104302 its reverse (20340123144324), we get a palindrome (62684255248626).

The spelling of 42344132104302 in words is "forty-two trillion, three hundred forty-four billion, one hundred thirty-two million, one hundred four thousand, three hundred two".

Divisors: 1 2 3 6 7 14 21 42 67 127 134 201 254 381 402 469 762 889 938 1407 1559 1778 2667 2814 3118 4677 5334 8509 9354 10913 17018 21826 25527 32739 51054 59563 65478 76001 104453 119126 152002 178689 197993 208906 228003 313359 357378 395986 456006 532007 593979 626718 731171 1064014 1187958 1385951 1462342 1596021 2193513 2771902 3192042 4157853 4387026 5092067 8315706 9652127 10184134 13265531 15276201 19304254 26531062 28956381 30552402 35644469 39796593 57912762 67564889 71288938 79593186 92858717 106933407 118485559 135129778 185717434 202694667 213866814 236971118 278576151 355456677 405389334 557152302 646692509 710913354 829398913 1293385018 1658797826 1940077527 2488196739 3880155054 4526847563 4976393478 7938532453 9053695126 13580542689 15047665993 15877064906 23815597359 27161085378 30095331986 45142997979 47631194718 55569727171 90285995958 105333661951 111139454342 166709181513 210667323902 316000985853 333418363026 632001971706 1008193621531 2016387243062 3024580864593 6049161729186 7057355350717 14114710701434 21172066052151 42344132104302