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42341132140125 = 3537132140157977
BaseRepresentation
bin10011010000010010100000…
…01000111111111001011101
312112220202212022002002210220
421220021100020333321131
521022204114311441000
6230015125250551553
711630021503642140
oct1150112010777135
9175822768062726
1042341132140125
1112544856297895
1248b9bb35985b9
131a819a0434a90
14a65470b82057
154d65cb4741a0
hex26825023fe5d

42341132140125 has 128 divisors (see below), whose sum is σ = 86720186262528. Its totient is φ = 17865884160000.

The previous prime is 42341132140103. The next prime is 42341132140127. The reversal of 42341132140125 is 52104123114324.

It is not a de Polignac number, because 42341132140125 - 26 = 42341132140061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42341132140127) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 730280137 + ... + 730338113.

It is an arithmetic number, because the mean of its divisors is an integer number (677501455176).

Almost surely, 242341132140125 is an apocalyptic number.

It is an amenable number.

42341132140125 is an abundant number, since it is smaller than the sum of its proper divisors (44379054122403).

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

42341132140125 is a wasteful number, since it uses less digits than its factorization.

42341132140125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79416 (or 79406 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

Adding to 42341132140125 its reverse (52104123114324), we get a palindrome (94445255254449).

The spelling of 42341132140125 in words is "forty-two trillion, three hundred forty-one billion, one hundred thirty-two million, one hundred forty thousand, one hundred twenty-five".

Divisors: 1 3 5 7 13 15 21 25 35 39 65 75 91 105 125 175 195 273 325 375 455 525 875 975 1365 1625 2275 2625 4875 6825 11375 21401 34125 57977 64203 107005 149807 173931 278213 289885 321015 405839 449421 535025 749035 753701 834639 869655 1217517 1391065 1449425 1605075 1947491 2029195 2247105 2261103 2675125 3745175 3768505 4173195 4348275 5275907 5842473 6087585 6955325 7247125 8025375 9737455 10145975 11235525 11305515 15827721 18725875 18842525 20865975 21741375 26379535 29212365 30437925 34776625 48687275 50729875 56177625 56527575 79138605 94212625 104329875 131897675 146061825 152189625 243436375 282637875 395693025 659488375 730309125 1240765777 1978465125 3722297331 6203828885 8685360439 16129955101 18611486655 26056081317 31019144425 43426802195 48389865303 80649775505 93057433275 112909685707 130280406585 155095722125 217134010975 241949326515 338729057121 403248877525 465287166375 564548428535 651402032925 1085670054875 1209746632575 1693645285605 2016244387625 2822742142675 3257010164625 6048733162875 8468226428025 14113710713375 42341132140125