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34111344020 = 225131273313121
BaseRepresentation
bin11111110001001100…
…011100110110010100
310021001021111211002212
4133301030130312110
51024330001002040
623400500252552
72315211432365
oct376114346624
9107037454085
1034111344020
1113514a67706
12673b9a1158
1332a809c840
1419184a3b6c
15d49a44d65
hex7f131cd94

34111344020 has 96 divisors (see below), whose sum is σ = 78011437056. Its totient is φ = 12454041600.

The previous prime is 34111343993. The next prime is 34111344023. The reversal of 34111344020 is 2044311143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34111344023) 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, 10928060 + ... + 10931180.

It is an arithmetic number, because the mean of its divisors is an integer number (812619136).

Almost surely, 234111344020 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 34111344020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39005718528).

34111344020 is an abundant number, since it is smaller than the sum of its proper divisors (43900093036).

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

34111344020 is a wasteful number, since it uses less digits than its factorization.

34111344020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3601 (or 3599 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 34111344020 its reverse (2044311143), we get a palindrome (36155655163).

It can be divided in two parts, 3411 and 1344020, that added together give a palindrome (1347431).

The spelling of 34111344020 in words is "thirty-four billion, one hundred eleven million, three hundred forty-four thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 127 130 254 260 331 508 635 662 1270 1324 1651 1655 2540 3121 3302 3310 4303 6242 6604 6620 8255 8606 12484 15605 16510 17212 21515 31210 33020 40573 42037 43030 62420 81146 84074 86060 162292 168148 202865 210185 396367 405730 420370 546481 792734 811460 840740 1033051 1092962 1585468 1981835 2066102 2185924 2732405 3963670 4132204 5152771 5165255 5464810 7927340 10305542 10330510 10929620 13429663 20611084 20661020 25763855 26859326 51527710 53718652 67148315 103055420 131197477 134296630 262394954 268593260 524789908 655987385 1311974770 1705567201 2623949540 3411134402 6822268804 8527836005 17055672010 34111344020