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42114405535540 = 22513337967497051
BaseRepresentation
bin10011001001101100001100…
…01011101000111100110100
312112010002122022222020021121
421210312012023220330310
521010000300304114130
6225323031340553324
711604444141414142
oct1144660613507464
9175102568866247
1042114405535540
111246768a006028
124882079252844
131a664a9c794a0
14a584c32a8592
154d075b970d7a
hex264d862e8f34

42114405535540 has 96 divisors (see below), whose sum is σ = 95624947401984. Its totient is φ = 15487728076800.

The previous prime is 42114405535519. The next prime is 42114405535607. The reversal of 42114405535540 is 4553550441124.

It is a super-2 number, since 2×421144055355402 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84480015 + ... + 84977065.

It is an arithmetic number, because the mean of its divisors is an integer number (996093202104).

Almost surely, 242114405535540 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 42114405535540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47812473700992).

42114405535540 is an abundant number, since it is smaller than the sum of its proper divisors (53510541866444).

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

42114405535540 is a wasteful number, since it uses less digits than its factorization.

42114405535540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498377 (or 498375 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 43.

Adding to 42114405535540 its reverse (4553550441124), we get a palindrome (46667955976664).

The spelling of 42114405535540 in words is "forty-two trillion, one hundred fourteen billion, four hundred five million, five hundred thirty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 337 674 967 1348 1685 1934 3370 3868 4381 4835 6740 8762 9670 12571 17524 19340 21905 25142 43810 50284 62855 87620 125710 251420 325879 497051 651758 994102 1303516 1629395 1988204 2485255 3258790 4236427 4970510 6461663 6517580 8472854 9941020 12923326 16945708 21182135 25846652 32308315 42364270 64616630 84728540 129233260 167506187 335012374 480648317 670024748 837530935 961296634 1675061870 1922593268 2177580431 2403241585 3350123740 4355160862 4806483170 6248428121 8710321724 9612966340 10887902155 12496856242 21775804310 24993712484 31242140605 43551608620 62484281210 124968562420 161978482829 323956965658 647913931316 809892414145 1619784828290 2105720276777 3239569656580 4211440553554 8422881107108 10528601383885 21057202767770 42114405535540