Search a number
-
+
42124644524130 = 23574318712493301
BaseRepresentation
bin10011001001111111010000…
…11110010010000001100010
312112011002001220102202010020
421210333220132102001202
521010132232444233010
6225331443342014310
711605255650366630
oct1144775036220142
9175132056382106
1042124644524130
1112470a63712773
124884056277396
131a6744c32230c
14a58bb507c350
154d0b5a7da470
hex264fe8792062

42124644524130 has 128 divisors (see below), whose sum is σ = 118292140302336. Its totient is φ = 9399541536000.

The previous prime is 42124644524117. The next prime is 42124644524213. The reversal of 42124644524130 is 3142544642124.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15648480 + ... + 18141780.

It is an arithmetic number, because the mean of its divisors is an integer number (924157346112).

Almost surely, 242124644524130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42124644524130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59146070151168).

42124644524130 is an abundant number, since it is smaller than the sum of its proper divisors (76167495778206).

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

42124644524130 is a wasteful number, since it uses less digits than its factorization.

42124644524130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2495232.

The product of its (nonzero) digits is 737280, while the sum is 42.

The spelling of 42124644524130 in words is "forty-two trillion, one hundred twenty-four billion, six hundred forty-four million, five hundred twenty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 43 70 86 105 129 210 215 258 301 430 602 645 903 1290 1505 1806 1871 3010 3742 4515 5613 9030 9355 11226 13097 18710 26194 28065 39291 56130 65485 78582 80453 130970 160906 196455 241359 392910 402265 482718 563171 804530 1126342 1206795 1689513 2413590 2493301 2815855 3379026 4986602 5631710 7479903 8447565 12466505 14959806 16895130 17453107 24933010 34906214 37399515 52359321 74799030 87265535 104718642 107211943 174531070 214423886 261796605 321635829 523593210 536059715 643271658 750483601 1072119430 1500967202 1608179145 2251450803 3216358290 3752418005 4502901606 4664966171 7504836010 9329932342 11257254015 13994898513 22514508030 23324830855 27989797026 32654763197 46649661710 65309526394 69974492565 97964289591 139948985130 163273815985 195928579182 200593545353 326547631970 401187090706 489821447955 601780636059 979642895910 1002967726765 1203561272118 1404154817471 2005935453530 2808309634942 3008903180295 4212464452413 6017806360590 7020774087355 8424928904826 14041548174710 21062322262065 42124644524130