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46056142204424 = 231159157461122561
BaseRepresentation
bin10100111100011010001111…
…11111101110111000001000
320001001220221201221001022022
422132031013333232320020
522014040434401020144
6241541522153344012
712462306065320202
oct1236150777567010
9201056851831268
1046056142204424
1113747333658680
1251b9ba4a08008
131c910ca062861
14b531b4663772
1554d05c8c1cee
hex29e347feee08

46056142204424 has 128 divisors (see below), whose sum is σ = 96622586121600. Its totient is φ = 20404180992000.

The previous prime is 46056142204363. The next prime is 46056142204447. The reversal of 46056142204424 is 42440224165064.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 375720104 + ... + 375842664.

It is an arithmetic number, because the mean of its divisors is an integer number (754863954075).

Almost surely, 246056142204424 is an apocalyptic number.

46056142204424 is a gapful number since it is divisible by the number (44) 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 46056142204424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48311293060800).

46056142204424 is an abundant number, since it is smaller than the sum of its proper divisors (50566443917176).

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

46056142204424 is a wasteful number, since it uses less digits than its factorization.

46056142204424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123255 (or 123251 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 44.

Adding to 46056142204424 its reverse (42440224165064), we get a palindrome (88496366369488).

The spelling of 46056142204424 in words is "forty-six trillion, fifty-six billion, one hundred forty-two million, two hundred four thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 59 88 118 157 236 314 461 472 628 649 922 1256 1298 1727 1844 2596 3454 3688 5071 5192 6908 9263 10142 13816 18526 20284 27199 37052 40568 54398 72377 74104 101893 108796 122561 144754 203786 217592 245122 289508 299189 407572 490244 579016 598378 796147 815144 980488 1196756 1348171 1592294 2393512 2696342 3184588 4270243 5392684 6369176 7231099 8540486 10785368 14462198 17080972 19242077 28924396 34161944 38484154 46972673 56500621 57848792 76968308 79542089 93945346 113001242 153936616 159084178 187890692 211662847 226002484 318168356 375781384 423325694 452004968 621506831 636336712 846651388 1135282543 1243013662 1693302776 2270565086 2486027324 3333536639 4541130172 4972054648 6667073278 8870597497 9082260344 12488107973 13334146556 17741194994 24976215946 26668293112 35482389988 36668903029 49952431892 70964779976 73337806058 97576572467 99904863784 146675612116 195153144934 293351224232 390306289868 523365252323 780612579736 1046730504646 2093461009292 4186922018584 5757017775553 11514035551106 23028071102212 46056142204424