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42540112011312 = 24321527719337399
BaseRepresentation
bin10011010110000101001000…
…10000111110000000110000
312120121210110112210212122200
421223002210100332000300
521033434122133330222
6230250354020103200
711650264426641516
oct1153024420760060
9176553415725580
1042540112011312
1112611184237123
124930685534b00
131a976912b9b26
14a70d495964b6
154db87508ceac
hex26b0a443e030

42540112011312 has 60 divisors (see below), whose sum is σ = 119061029271600. Its totient is φ = 14179108408704.

The previous prime is 42540112011311. The next prime is 42540112011401. The reversal of 42540112011312 is 21311021104524.

42540112011312 is a `hidden beast` number, since 4 + 2 + 5 + 401 + 120 + 1 + 131 + 2 = 666.

It is a super-2 number, since 2×425401120113122 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42540112011311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7468812 + ... + 11868587.

It is an arithmetic number, because the mean of its divisors is an integer number (1984350487860).

Almost surely, 242540112011312 is an apocalyptic number.

It is an amenable number.

42540112011312 is an abundant number, since it is smaller than the sum of its proper divisors (76520917260288).

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

42540112011312 is a wasteful number, since it uses less digits than its factorization.

42540112011312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19352690 (or 19352681 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 42540112011312 its reverse (21311021104524), we get a palindrome (63851133115836).

The spelling of 42540112011312 in words is "forty-two trillion, five hundred forty billion, one hundred twelve million, eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 15277 30554 45831 61108 91662 122216 137493 183324 244432 274986 366648 549972 733296 1099944 2199888 19337399 38674798 58012197 77349596 116024394 154699192 174036591 232048788 309398384 348073182 464097576 696146364 928195152 1392292728 2784585456 295417444523 590834889046 886252333569 1181669778092 1772504667138 2363339556184 2658757000707 3545009334276 4726679112368 5317514001414 7090018668552 10635028002828 14180037337104 21270056005656 42540112011312