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42940330576 = 241113411672741
BaseRepresentation
bin100111111111011100…
…010111001001010000
311002211120210210202221
4213333130113021100
51200420211034301
631420532150424
73050046534103
oct477734271120
9132746723687
1042940330576
1117235773a10
1283a4768414
1340842a4440
142114cc073a
1511b4be0da1
hex9ff717250

42940330576 has 160 divisors (see below), whose sum is σ = 100762050816. Its totient is φ = 17465856000.

The previous prime is 42940330571. The next prime is 42940330591. The reversal of 42940330576 is 67503304924.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42940330571) 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, 15664566 + ... + 15667306.

Almost surely, 242940330576 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 42940330576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50381025408).

42940330576 is an abundant number, since it is smaller than the sum of its proper divisors (57821720240).

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

42940330576 is a wasteful number, since it uses less digits than its factorization.

42940330576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2981 (or 2975 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 43.

The spelling of 42940330576 in words is "forty-two billion, nine hundred forty million, three hundred thirty thousand, five hundred seventy-six".

Divisors: 1 2 4 8 11 13 16 22 26 41 44 52 82 88 104 143 164 167 176 208 286 328 334 451 533 572 656 668 902 1066 1144 1336 1804 1837 2132 2171 2288 2672 2741 3608 3674 4264 4342 5482 5863 6847 7216 7348 8528 8684 10964 11726 13694 14696 17368 21928 23452 23881 27388 29392 30151 34736 35633 43856 46904 47762 54776 60302 71266 75317 89011 93808 95524 109552 112381 120604 142532 150634 178022 191048 224762 241208 285064 301268 356044 382096 391963 449524 457747 482416 570128 602536 712088 783926 899048 915494 979121 1205072 1236191 1424176 1460953 1567852 1798096 1830988 1958242 2472382 2921906 3135704 3661976 3916484 4944764 5035217 5843812 5950711 6271408 7323952 7832968 9889528 10070434 11687624 11901422 15665936 16070483 18767627 19779056 20140868 23375248 23802844 32140966 37535254 40281736 47605688 64281932 65457821 75070508 80563472 95211376 128563864 130915642 150141016 206443897 243979151 257127728 261831284 300282032 412887794 487958302 523662568 825775588 975916604 1047325136 1651551176 1951833208 2683770661 3303102352 3903666416 5367541322 10735082644 21470165288 42940330576