Search a number
-
+
42311114136 = 233219199155423
BaseRepresentation
bin100111011001111100…
…000101110110011000
311001012201211022002100
4213121330011312120
51143123121123021
631234254003400
73025336351614
oct473174056630
9131181738070
1042311114136
1116a42580325
128249aa6560
133cb3b19415
1420954d0344
151179851626
hex9d9f05d98

42311114136 has 96 divisors (see below), whose sum is σ = 121230720000. Its totient is φ = 13294176192.

The previous prime is 42311114129. The next prime is 42311114179. The reversal of 42311114136 is 63141111324.

42311114136 is a `hidden beast` number, since 4 + 231 + 1 + 11 + 413 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194521 + ... + 349943.

It is an arithmetic number, because the mean of its divisors is an integer number (1262820000).

Almost surely, 242311114136 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 42311114136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60615360000).

42311114136 is an abundant number, since it is smaller than the sum of its proper divisors (78919605864).

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

42311114136 is a wasteful number, since it uses less digits than its factorization.

42311114136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155653 (or 155646 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The spelling of 42311114136 in words is "forty-two billion, three hundred eleven million, one hundred fourteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 199 228 342 398 456 597 684 796 1194 1368 1592 1791 2388 3582 3781 4776 7164 7562 11343 14328 15124 22686 30248 34029 45372 68058 90744 136116 155423 272232 310846 466269 621692 932538 1243384 1398807 1865076 2797614 2953037 3730152 5595228 5906074 8859111 11190456 11812148 17718222 23624296 26577333 30929177 35436444 53154666 61858354 70872888 92787531 106309332 123716708 185575062 212618664 247433416 278362593 371150124 556725186 587654363 742300248 1113450372 1175308726 1762963089 2226900744 2350617452 3525926178 4701234904 5288889267 7051852356 10577778534 14103704712 21155557068 42311114136