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34465625142 = 23135359141307
BaseRepresentation
bin100000000110010011…
…111011010000110110
310021221222011011102220
4200012103323100312
51031041200001032
623455553543210
72330042660064
oct400623732066
9107858134386
1034465625142
1113686a46323
12681a574b06
1333335c4540
14194d567034
15d6abc712c
hex8064fb436

34465625142 has 64 divisors (see below), whose sum is σ = 76916770560. Its totient is φ = 10228293504.

The previous prime is 34465625141. The next prime is 34465625167. The reversal of 34465625142 is 24152656443.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 34465625094 and 34465625103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34465625141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173253 + ... + 314559.

It is an arithmetic number, because the mean of its divisors is an integer number (1201824540).

Almost surely, 234465625142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34465625142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38458385280).

34465625142 is an abundant number, since it is smaller than the sum of its proper divisors (42451145418).

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

34465625142 is a wasteful number, since it uses less digits than its factorization.

34465625142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141437.

The product of its digits is 691200, while the sum is 42.

The spelling of 34465625142 in words is "thirty-four billion, four hundred sixty-five million, six hundred twenty-five thousand, one hundred forty-two".

Divisors: 1 2 3 6 13 26 39 53 59 78 106 118 159 177 318 354 689 767 1378 1534 2067 2301 3127 4134 4602 6254 9381 18762 40651 81302 121953 141307 243906 282614 423921 847842 1836991 3673982 5510973 7489271 8337113 11021946 14978542 16674226 22467813 25011339 44935626 50022678 97360523 108382469 194721046 216764938 292081569 325147407 441866989 584163138 650294814 883733978 1325600967 2651201934 5744270857 11488541714 17232812571 34465625142