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34122041000 = 2353233147857
BaseRepresentation
bin11111110001110101…
…010000011010101000
310021002000122021121022
4133301311100122220
51024340220303000
623401521432012
72315401364045
oct376165203250
9107060567538
1034122041000
1113520003493
12674349b608
1332aa376708
141919a8a1cc
15d4a959585
hex7f1d506a8

34122041000 has 128 divisors (see below), whose sum is σ = 86006568960. Its totient is φ = 12633984000.

The previous prime is 34122040993. The next prime is 34122041021. The reversal of 34122041000 is 14022143.

It is a self number, because there is not a number n which added to its sum of digits gives 34122041000.

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, 689072 + ... + 736928.

It is an arithmetic number, because the mean of its divisors is an integer number (671926320).

Almost surely, 234122041000 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 34122041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43003284480).

34122041000 is an abundant number, since it is smaller than the sum of its proper divisors (51884527960).

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

34122041000 is a wasteful number, since it uses less digits than its factorization.

34122041000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47932 (or 47918 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 34122041000 its reverse (14022143), we get a palindrome (34136063143).

The spelling of 34122041000 in words is "thirty-four billion, one hundred twenty-two million, forty-one thousand".

Divisors: 1 2 4 5 8 10 20 23 25 31 40 46 50 62 92 100 115 124 125 155 184 200 230 248 250 310 460 500 575 620 713 775 920 1000 1150 1240 1426 1550 2300 2852 2875 3100 3565 3875 4600 5704 5750 6200 7130 7750 11500 14260 15500 17825 23000 28520 31000 35650 47857 71300 89125 95714 142600 178250 191428 239285 356500 382856 478570 713000 957140 1100711 1196425 1483567 1914280 2201422 2392850 2967134 4402844 4785700 5503555 5934268 5982125 7417835 8805688 9571400 11007110 11868536 11964250 14835670 22014220 23928500 27517775 29671340 34122041 37089175 44028440 47857000 55035550 59342680 68244082 74178350 110071100 136488164 137588875 148356700 170610205 185445875 220142200 272976328 275177750 296713400 341220410 370891750 550355500 682440820 741783500 853051025 1100711000 1364881640 1483567000 1706102050 3412204100 4265255125 6824408200 8530510250 17061020500 34122041000