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42539077140 = 22357827122471
BaseRepresentation
bin100111100111100001…
…101100111000010100
311001210121210000112120
4213213201230320110
51144110000432030
631313040015540
73034105122030
oct474741547024
9131717700476
1042539077140
111704a2222aa
1282b23015b0
13401c114481
1420b78b11c0
15118e881010
hex9e786ce14

42539077140 has 96 divisors (see below), whose sum is σ = 136290760704. Its totient is φ = 9711381120.

The previous prime is 42539077129. The next prime is 42539077153. The reversal of 42539077140 is 4177093524.

42539077140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 42539077092 and 42539077101.

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, 286105 + ... + 408575.

It is an arithmetic number, because the mean of its divisors is an integer number (1419695424).

Almost surely, 242539077140 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 42539077140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68145380352).

42539077140 is an abundant number, since it is smaller than the sum of its proper divisors (93751683564).

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

42539077140 is a wasteful number, since it uses less digits than its factorization.

42539077140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123317 (or 123315 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 42539077140 in words is "forty-two billion, five hundred thirty-nine million, seventy-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 827 1654 2481 3308 4135 4962 5789 8270 9924 11578 12405 16540 17367 23156 24810 28945 34734 49620 57890 69468 86835 115780 122471 173670 244942 347340 367413 489884 612355 734826 857297 1224710 1469652 1714594 1837065 2449420 2571891 3429188 3674130 4286485 5143782 7348260 8572970 10287564 12859455 17145940 25718910 51437820 101283517 202567034 303850551 405134068 506417585 607701102 708984619 1012835170 1215402204 1417969238 1519252755 2025670340 2126953857 2835938476 3038505510 3544923095 4253907714 6077011020 7089846190 8507815428 10634769285 14179692380 21269538570 42539077140