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412042535052240 = 243547124972922989
BaseRepresentation
bin101110110110000000010000…
…0111011110010001111010000
32000000220212210201112202100110
41131230000200323302033100
5413001401102433132430
64020201421042521320
7152535043063634451
oct13554004073621720
92000825721482313
10412042535052240
1110a320292123834
123a26872b366240
13148bb5a1272ab1
1473a6d7236b128
15329828a3877b0
hex176c020ef23d0

412042535052240 has 160 divisors (see below), whose sum is σ = 1304613964362240. Its totient is φ = 107531537293312.

The previous prime is 412042535052157. The next prime is 412042535052283. The reversal of 412042535052240 is 42250535240214.

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, 139504666 + ... + 142427654.

It is an arithmetic number, because the mean of its divisors is an integer number (8153837277264).

Almost surely, 2412042535052240 is an apocalyptic number.

412042535052240 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 412042535052240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652306982181120).

412042535052240 is an abundant number, since it is smaller than the sum of its proper divisors (892571429310000).

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

412042535052240 is a wasteful number, since it uses less digits than its factorization.

412042535052240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2935549 (or 2935543 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 39.

The spelling of 412042535052240 in words is "four hundred twelve trillion, forty-two billion, five hundred thirty-five million, fifty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 376 470 564 705 752 940 1128 1410 1880 2256 2820 3760 5640 11280 12497 24994 37491 49988 62485 74982 99976 124970 149964 187455 199952 249940 299928 374910 499880 587359 599856 749820 999760 1174718 1499640 1762077 2349436 2922989 2936795 2999280 3524154 4698872 5845978 5873590 7048308 8768967 8810385 9397744 11691956 11747180 14096616 14614945 17537934 17620770 23383912 23494360 28193232 29229890 35075868 35241540 43844835 46767824 46988720 58459780 70151736 70483080 87689670 116919560 137380483 140303472 140966160 175379340 233839120 274760966 350758680 412141449 549521932 686902415 701517360 824282898 1099043864 1373804830 1648565796 2060707245 2198087728 2747609660 3297131592 4121414490 5495219320 6594263184 8242828980 10990438640 16485657960 32971315920 36528593533 73057187066 109585780599 146114374132 182642967665 219171561198 292228748264 365285935330 438343122396 547928902995 584457496528 730571870660 876686244792 1095857805990 1461143741320 1716843896051 1753372489584 2191715611980 2922287482640 3433687792102 4383431223960 5150531688153 6867375584204 8584219480255 8766862447920 10301063376306 13734751168408 17168438960510 20602126752612 25752658440765 27469502336816 34336877921020 41204253505224 51505316881530 68673755842040 82408507010448 103010633763060 137347511684080 206021267526120 412042535052240