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42314421305250 = 2325337508281337
BaseRepresentation
bin10011001111100000110000…
…00011001111111110100010
312112211012220202221002202100
421213300120003033332202
521021234413323232000
6225554550553031230
711625054543411033
oct1147603003177642
9175735822832670
1042314421305250
1112534499768246
1248b499a0b5516
131a7c30462a443
14a640594d2a8a
154d5a664aca00
hex267c180cffa2

42314421305250 has 96 divisors (see below), whose sum is σ = 117510579094896. Its totient is φ = 10978876857600.

The previous prime is 42314421305231. The next prime is 42314421305333. The reversal of 42314421305250 is 5250312441324.

It is a happy number.

42314421305250 is a `hidden beast` number, since 4 + 2 + 31 + 442 + 130 + 5 + 2 + 50 = 666.

42314421305250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 12248621038809 + 30065800266441 = 3499803^2 + 5483229^2 .

It is a super-2 number, since 2×423144213052502 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 254057419 + ... + 254223918.

Almost surely, 242314421305250 is an apocalyptic number.

42314421305250 is an abundant number, since it is smaller than the sum of its proper divisors (75196157789646).

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

42314421305250 is a wasteful number, since it uses less digits than its factorization.

42314421305250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508281397 (or 508281384 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 42314421305250 its reverse (5250312441324), we get a palindrome (47564733746574).

The spelling of 42314421305250 in words is "forty-two trillion, three hundred fourteen billion, four hundred twenty-one million, three hundred five thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 37 45 50 74 75 90 111 125 150 185 222 225 250 333 370 375 450 555 666 750 925 1110 1125 1665 1850 2250 2775 3330 4625 5550 8325 9250 13875 16650 27750 41625 83250 508281337 1016562674 1524844011 2541406685 3049688022 4574532033 5082813370 7624220055 9149064066 12707033425 15248440110 18806409469 22872660165 25414066850 37612818938 38121100275 45745320330 56419228407 63535167125 76242200550 94032047345 112838456814 114363300825 127070334250 169257685221 188064094690 190605501375 228726601650 282096142035 338515370442 381211002750 470160236725 564192284070 571816504125 846288426105 940320473450 1143633008250 1410480710175 1692576852210 2350801183625 2820961420350 4231442130525 4701602367250 7052403550875 8462884261050 14104807101750 21157210652625 42314421305250