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42114310525260 = 223254311913283769
BaseRepresentation
bin10011001001101100000001…
…00001001101000101001100
312112010002101201012012200100
421210312000201031011030
521010000101443302020
6225323014104331100
711604441606013221
oct1144660041150514
9175102351165610
1042114310525260
1112467640412436
124882051473a90
131a66493391b9c
14a584b4815948
154d0753454a90
hex264d8084d14c

42114310525260 has 144 divisors (see below), whose sum is σ = 128110522700160. Its totient is φ = 11198529546240.

The previous prime is 42114310525253. The next prime is 42114310525271. The reversal of 42114310525260 is 6252501341124.

42114310525260 is a `hidden beast` number, since 4 + 2 + 114 + 3 + 10 + 5 + 2 + 526 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148268656 + ... + 148552424.

It is an arithmetic number, because the mean of its divisors is an integer number (889656407640).

Almost surely, 242114310525260 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 42114310525260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64055261350080).

42114310525260 is an abundant number, since it is smaller than the sum of its proper divisors (85996212174900).

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

42114310525260 is a wasteful number, since it uses less digits than its factorization.

42114310525260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286128 (or 286123 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 42114310525260 its reverse (6252501341124), we get a palindrome (48366811866384).

The spelling of 42114310525260 in words is "forty-two trillion, one hundred fourteen billion, three hundred ten million, five hundred twenty-five thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 431 862 1293 1724 1913 2155 2586 3826 3879 4310 5172 5739 6465 7652 7758 8620 9565 11478 12930 15516 17217 19130 19395 22956 25860 28695 34434 38260 38790 57390 68868 77580 86085 114780 172170 283769 344340 567538 824503 851307 1135076 1418845 1649006 1702614 2473509 2553921 2837690 3298012 3405228 4122515 4256535 4947018 5107842 5675380 7420527 8245030 8513070 9894036 10215684 12367545 12769605 14841054 16490060 17026140 24735090 25539210 29682108 37102635 49470180 51078420 74205270 122304439 148410540 244608878 366913317 489217756 542850097 611522195 733826634 1085700194 1100739951 1223044390 1467653268 1628550291 1834566585 2171400388 2201479902 2446088780 2714250485 3257100582 3669133170 4402959804 4885650873 5428500970 5503699755 6514201164 7338266340 8142751455 9771301746 10857001940 11007399510 16285502910 19542603492 22014799020 24428254365 32571005820 48856508730 97713017460 233968391807 467936783614 701905175421 935873567228 1169841959035 1403810350842 2105715526263 2339683918070 2807620701684 3509525877105 4211431052526 4679367836140 7019051754210 8422862105052 10528577631315 14038103508420 21057155262630 42114310525260