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42530213432240 = 24517167733255469
BaseRepresentation
bin10011010101110010101100…
…10000111000101110110000
312120120211220200212221212222
421222321112100320232300
521033303334114312430
6230242035455140212
711646464223260432
oct1152712620705660
9176524820787788
1042530213432240
1112607a647a4166
12492a782514668
131a9677461cb51
14a7068aab4652
154db4960659e5
hex26ae56438bb0

42530213432240 has 160 divisors (see below), whose sum is σ = 105470425710720. Its totient is φ = 15893722939392.

The previous prime is 42530213432107. The next prime is 42530213432249. The reversal of 42530213432240 is 4223431203524.

It is a self number, because there is not a number n which added to its sum of digits gives 42530213432240.

It is not an unprimeable number, because it can be changed into a prime (42530213432249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166351226 + ... + 166606694.

It is an arithmetic number, because the mean of its divisors is an integer number (659190160692).

Almost surely, 242530213432240 is an apocalyptic number.

42530213432240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42530213432240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52735212855360).

42530213432240 is an abundant number, since it is smaller than the sum of its proper divisors (62940212278480).

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

42530213432240 is a wasteful number, since it uses less digits than its factorization.

42530213432240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256399 (or 256393 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 35.

Adding to 42530213432240 its reverse (4223431203524), we get a palindrome (46753644635764).

The spelling of 42530213432240 in words is "forty-two trillion, five hundred thirty billion, two hundred thirteen million, four hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 167 170 272 334 340 668 680 733 835 1336 1360 1466 1670 2672 2839 2932 3340 3665 5678 5864 6680 7330 11356 11728 12461 13360 14195 14660 22712 24922 28390 29320 45424 49844 56780 58640 62305 99688 113560 122411 124610 199376 227120 244822 249220 255469 489644 498440 510938 612055 979288 996880 1021876 1224110 1277345 1958576 2043752 2080987 2448220 2554690 4087504 4161974 4342973 4896440 5109380 8323948 8685946 9792880 10218760 10404935 16647896 17371892 20437520 20809870 21714865 33295792 34743784 41619740 42663323 43429730 69487568 83239480 85326646 86859460 166478960 170653292 173718920 187258777 213316615 341306584 347437840 374517554 426633230 682613168 725276491 749035108 853266460 936293885 1450552982 1498070216 1706532920 1872587770 2901105964 2996140432 3183399209 3413065840 3626382455 3745175540 5802211928 6366798418 7252764910 7490351080 11604423856 12733596836 14505529820 14980702160 15916996045 25467193672 29011059640 31272215759 31833992090 50934387344 58022119280 62544431518 63667984180 125088863036 127335968360 156361078795 250177726072 254671936720 312722157590 500355452144 531627667903 625444315180 1063255335806 1250888630360 2126510671612 2501777260720 2658138339515 4253021343224 5316276679030 8506042686448 10632553358060 21265106716120 42530213432240