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34011215442 = 23331127159979
BaseRepresentation
bin11111101011001110…
…011111011001010010
310020210022002202112000
4133223032133121102
51024123332343232
623342522214430
72312554363341
oct375316373122
9106708082460
1034011215442
1113473498616
126712354416
133290412669
14190907bb58
15d40d6727c
hex7eb39f652

34011215442 has 64 divisors (see below), whose sum is σ = 78633369600. Its totient is φ = 10884903120.

The previous prime is 34011215423. The next prime is 34011215467. The reversal of 34011215442 is 24451211043.

34011215442 is a `hidden beast` number, since 3 + 4 + 0 + 1 + 1 + 215 + 442 = 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 31 ways as a sum of consecutive naturals, for example, 132609 + ... + 292587.

It is an arithmetic number, because the mean of its divisors is an integer number (1228646400).

Almost surely, 234011215442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34011215442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39316684800).

34011215442 is an abundant number, since it is smaller than the sum of its proper divisors (44622154158).

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

34011215442 is a wasteful number, since it uses less digits than its factorization.

34011215442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160148 (or 160142 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 34011215442 its reverse (24451211043), we get a palindrome (58462426485).

The spelling of 34011215442 in words is "thirty-four billion, eleven million, two hundred fifteen thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 127 186 254 279 381 558 762 837 1143 1674 2286 3429 3937 6858 7874 11811 23622 35433 70866 106299 159979 212598 319958 479937 959874 1439811 2879622 4319433 4959349 8638866 9918698 14878047 20317333 29756094 40634666 44634141 60951999 89268282 121903998 133902423 182855997 267804846 365711994 548567991 629837323 1097135982 1259674646 1889511969 3779023938 5668535907 11337071814 17005607721 34011215442