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42100340110240 = 2551715478066217
BaseRepresentation
bin10011001001010001111111…
…10100010011001110100000
312112001202100002101121001211
421210220333310103032200
521004232444032011430
6225312343530035504
711603435450314246
oct1144507764231640
9175052302347054
1042100340110240
11124617214908a5
12487b3b2878b94
131a65077c41119
14a5794b240796
154d01d6c1772a
hex264a3fd133a0

42100340110240 has 48 divisors (see below), whose sum is σ = 105312762547272. Its totient is φ = 15849539805184.

The previous prime is 42100340110229. The next prime is 42100340110243. The reversal of 42100340110240 is 4201104300124.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 35674865448336 + 6425474661904 = 5972844^2 + 2534852^2 .

It is not an unprimeable number, because it can be changed into a prime (42100340110243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7739030389 + ... + 7739035828.

Almost surely, 242100340110240 is an apocalyptic number.

42100340110240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42100340110240 is an abundant number, since it is smaller than the sum of its proper divisors (63212422437032).

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

42100340110240 is a wasteful number, since it uses less digits than its factorization.

42100340110240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15478066249 (or 15478066241 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 42100340110240 its reverse (4201104300124), we get a palindrome (46301444410364).

The spelling of 42100340110240 in words is "forty-two trillion, one hundred billion, three hundred forty million, one hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 15478066217 30956132434 61912264868 77390331085 123824529736 154780662170 247649059472 263127125689 309561324340 495298118944 526254251378 619122648680 1052508502756 1238245297360 1315635628445 2105017005512 2476490594720 2631271256890 4210034011024 5262542513780 8420068022048 10525085027560 21050170055120 42100340110240