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42142320244120 = 23517611944152259
BaseRepresentation
bin10011001010100000001100…
…00001110011010110011000
312112012202200202102100121011
421211100012001303112120
521010424432440302440
6225343525322023304
711606452660466155
oct1145200601632630
9175182622370534
1042142320244120
1112478504147818
124887569947b34
131a69008303525
14a599b07b522c
154d134248a9ea
hex265406073598

42142320244120 has 128 divisors (see below), whose sum is σ = 102050949124800. Its totient is φ = 15604155187200.

The previous prime is 42142320244091. The next prime is 42142320244127. The reversal of 42142320244120 is 2144202324124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42142320244127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 806386551 + ... + 806438809.

Almost surely, 242142320244120 is an apocalyptic number.

42142320244120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42142320244120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51025474562400).

42142320244120 is an abundant number, since it is smaller than the sum of its proper divisors (59908628880680).

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

42142320244120 is a wasteful number, since it uses less digits than its factorization.

42142320244120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71789 (or 71785 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 42142320244120 its reverse (2144202324124), we get a palindrome (44286522568244).

The spelling of 42142320244120 in words is "forty-two trillion, one hundred forty-two billion, three hundred twenty million, two hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 61 68 85 122 136 170 244 305 340 488 610 680 1037 1220 2074 2440 4148 5185 8296 10370 19441 20740 38882 41480 52259 77764 97205 104518 155528 194410 209036 261295 330497 388820 418072 522590 660994 777640 888403 1045180 1185901 1321988 1652485 1776806 2090360 2371802 2643976 3187799 3304970 3553612 4442015 4743604 5929505 6375598 6609940 7107224 8884030 9487208 11859010 12751196 13219880 15938995 17768060 20160317 23718020 25502392 31877990 35536120 40320634 47436040 54192583 63755980 80641268 100801585 108385166 127511960 161282536 201603170 216770332 270962915 403206340 433540664 541925830 806412680 1015967219 1083851660 2031934438 2167703320 4063868876 5079836095 8127737752 10159672190 17271442723 20319344380 34542885446 40638688760 61974000359 69085770892 86357213615 123948000718 138171541784 172714427230 247896001436 309870001795 345428854460 495792002872 619740003590 690857708920 1053558006103 1239480007180 2107116012206 2478960014360 4214232024412 5267790030515 8428464048824 10535580061030 21071160122060 42142320244120