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34243131024 = 243491928751
BaseRepresentation
bin11111111001000011…
…001011011010010000
310021101110111021220000
4133321003023122100
51030112220143044
623421525050000
72321401545144
oct377103133220
9107343437800
1034243131024
111358239a193
126777b56900
1332c949280b
14192bbab224
15d563c7d69
hex7f90cb690

34243131024 has 100 divisors (see below), whose sum is σ = 99220851840. Its totient is φ = 11401560000.

The previous prime is 34243131019. The next prime is 34243131037. The reversal of 34243131024 is 42013134243.

34243131024 is a `hidden beast` number, since 342 + 4 + 3 + 1 + 310 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1176649 + ... + 1205399.

Almost surely, 234243131024 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 34243131024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49610425920).

34243131024 is an abundant number, since it is smaller than the sum of its proper divisors (64977720816).

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

34243131024 is a wasteful number, since it uses less digits than its factorization.

34243131024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29690 (or 29675 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 34243131024 its reverse (42013134243), we get a palindrome (76256265267).

The spelling of 34243131024 in words is "thirty-four billion, two hundred forty-three million, one hundred thirty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 919 1296 1838 2757 3676 5514 7352 8271 11028 14704 16542 22056 24813 28751 33084 44112 49626 57502 66168 74439 86253 99252 115004 132336 148878 172506 198504 230008 258759 297756 345012 397008 460016 517518 595512 690024 776277 1035036 1191024 1380048 1552554 2070072 2328831 3105108 4140144 4657662 6210216 9315324 12420432 18630648 26422169 37261296 52844338 79266507 105688676 158533014 211377352 237799521 317066028 422754704 475599042 634132056 713398563 951198084 1268264112 1426797126 1902396168 2140195689 2853594252 3804792336 4280391378 5707188504 8560782756 11414377008 17121565512 34243131024