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34105250140 = 22513473079091
BaseRepresentation
bin11111110000110101…
…001101000101011100
310021000212001012212121
4133300311031011130
51024321421001030
623400121512324
72315105562103
oct376065150534
9107025035777
1034105250140
1113511585245
1267399426a4
1332a6a47bb0
14191775903a
15d4923e47a
hex7f0d4d15c

34105250140 has 96 divisors (see below), whose sum is σ = 79036683264. Its totient is φ = 12283280640.

The previous prime is 34105250131. The next prime is 34105250143. The reversal of 34105250140 is 4105250143.

It is a happy number.

It is a super-2 number, since 2×341052501402 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34105250143) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3746995 + ... + 3756085.

It is an arithmetic number, because the mean of its divisors is an integer number (823298784).

Almost surely, 234105250140 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 34105250140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39518341632).

34105250140 is an abundant number, since it is smaller than the sum of its proper divisors (44931433124).

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

34105250140 is a wasteful number, since it uses less digits than its factorization.

34105250140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9467 (or 9465 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 34105250140 in words is "thirty-four billion, one hundred five million, two hundred fifty thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 47 52 65 94 130 188 235 260 307 470 611 614 940 1222 1228 1535 2444 3055 3070 3991 6110 6140 7982 9091 12220 14429 15964 18182 19955 28858 36364 39910 45455 57716 72145 79820 90910 118183 144290 181820 187577 236366 288580 375154 427277 472732 590915 750308 854554 937885 1181830 1709108 1875770 2136385 2363660 2790937 3751540 4272770 5554601 5581874 8545540 11109202 11163748 13954685 22218404 27773005 27909370 36282181 55546010 55818740 72564362 111092020 131174039 145128724 181410905 262348078 362821810 524696156 655870195 725643620 1311740390 1705262507 2623480780 3410525014 6821050028 8526312535 17052625070 34105250140