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42500131434120 = 233513191357719777
BaseRepresentation
bin10011010100111010101010…
…01111001010111010001000
312120110222021020022010020110
421222131111033022322020
521032310232121342440
6230220142453354320
711644350606434133
oct1152352517127210
9176428236263213
1042500131434120
11125a6228244798
1249249880389a0
131a9398c278069
14a6d03580321a
154da7d5141080
hex26a7553cae88

42500131434120 has 128 divisors (see below), whose sum is σ = 127612909036800. Its totient is φ = 11323369291776.

The previous prime is 42500131434041. The next prime is 42500131434127. The reversal of 42500131434120 is 2143413100524.

42500131434120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×425001314341203 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (42500131434127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2148957672 + ... + 2148977448.

It is an arithmetic number, because the mean of its divisors is an integer number (996975851850).

Almost surely, 242500131434120 is an apocalyptic number.

42500131434120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42500131434120 is an abundant number, since it is smaller than the sum of its proper divisors (85112777602680).

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

42500131434120 is a wasteful number, since it uses less digits than its factorization.

42500131434120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34687 (or 34683 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 42500131434120 its reverse (2143413100524), we get a palindrome (44643544534644).

The spelling of 42500131434120 in words is "forty-two trillion, five hundred billion, one hundred thirty-one million, four hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1319 2638 3957 5276 6595 7914 10552 13190 13577 15828 19777 19785 26380 27154 31656 39554 39570 40731 52760 54308 59331 67885 79108 79140 81462 98885 108616 118662 135770 158216 158280 162924 197770 203655 237324 271540 296655 325848 395540 407310 474648 543080 593310 791080 814620 1186620 1629240 2373240 17908063 26085863 35816126 52171726 53724189 71632252 78257589 89540315 104343452 107448378 130429315 143264504 156515178 179080630 208686904 214896756 260858630 268512329 268620945 313030356 358161260 391287945 429793512 521717260 537024658 537241890 626060712 716322520 782575890 805536987 1043434520 1074049316 1074483780 1342561645 1565151780 1611073974 2148098632 2148967560 2685123290 3130303560 3222147948 4027684935 5370246580 6444295896 8055369870 10740493160 16110739740 32221479480 354167761951 708335523902 1062503285853 1416671047804 1770838809755 2125006571706 2833342095608 3541677619510 4250013143412 5312516429265 7083355239020 8500026286824 10625032858530 14166710478040 21250065717060 42500131434120