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42410031330564 = 22335310397131049
BaseRepresentation
bin10011010010010010110101…
…10110100011010100000100
312120011100201000001121212000
421221021122312203110010
521024321221010034224
6230110522135425300
711635011053254362
oct1151113266432404
9176140630047760
1042410031330564
1112570aa2071397
12490b421825230
131a883307a7111
14a689294c8632
154d82b00de0c9
hex26925ada3504

42410031330564 has 96 divisors (see below), whose sum is σ = 112134335040000. Its totient is φ = 13856596086528.

The previous prime is 42410031330551. The next prime is 42410031330581. The reversal of 42410031330564 is 46503313001424.

42410031330564 is a `hidden beast` number, since 4 + 24 + 10 + 0 + 31 + 3 + 30 + 564 = 666.

It is a super-2 number, since 2×424100313305642 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2381712 + ... + 9512760.

It is an arithmetic number, because the mean of its divisors is an integer number (1168065990000).

Almost surely, 242410031330564 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 42410031330564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56067167520000).

42410031330564 is an abundant number, since it is smaller than the sum of its proper divisors (69724303709436).

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

42410031330564 is a wasteful number, since it uses less digits than its factorization.

42410031330564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7132154 (or 7132146 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 42410031330564 its reverse (46503313001424), we get a palindrome (88913344331988).

The spelling of 42410031330564 in words is "forty-two trillion, four hundred ten billion, thirty-one million, three hundred thirty thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 106 108 159 212 318 477 636 954 1039 1431 1908 2078 2862 3117 4156 5724 6234 9351 12468 18702 28053 37404 55067 56106 110134 112212 165201 220268 330402 495603 660804 991206 1486809 1982412 2973618 5947236 7131049 14262098 21393147 28524196 42786294 64179441 85572588 128358882 192538323 256717764 377945597 385076646 755891194 770153292 1133836791 1511782388 2267673582 3401510373 4535347164 6803020746 7409159911 10204531119 13606041492 14818319822 20409062238 22227479733 29636639644 40818124476 44454959466 66682439199 88909918932 133364878398 200047317597 266729756796 392685475283 400094635194 785370950566 800189270388 1178056425849 1570741901132 2356112851698 3534169277547 4712225703396 7068338555094 10602507832641 14136677110188 21205015665282 42410031330564