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34014869020 = 225112113173719
BaseRepresentation
bin11111101011011100…
…011011011000011100
310020210112222101021201
4133223130123120130
51024130301302040
623343132405244
72312630421226
oct375334333034
9106715871251
1034014869020
1113475563600
126713616824
1332910c1642
14190974d416
15d41339a9a
hex7eb71b61c

34014869020 has 144 divisors (see below), whose sum is σ = 79778805120. Its totient is φ = 12171765760.

The previous prime is 34014869003. The next prime is 34014869047. The reversal of 34014869020 is 2096841043.

It is a super-2 number, since 2×340148690202 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47308221 + ... + 47308939.

It is an arithmetic number, because the mean of its divisors is an integer number (554019480).

Almost surely, 234014869020 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 34014869020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39889402560).

34014869020 is an abundant number, since it is smaller than the sum of its proper divisors (45763936100).

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

34014869020 is a wasteful number, since it uses less digits than its factorization.

34014869020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 34014869020 in words is "thirty-four billion, fourteen million, eight hundred sixty-nine thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 113 121 173 220 226 242 346 452 484 565 605 692 719 865 1130 1210 1243 1438 1730 1903 2260 2420 2486 2876 3460 3595 3806 4972 6215 7190 7612 7909 9515 12430 13673 14380 15818 19030 19549 20933 24860 27346 31636 38060 39098 39545 41866 54692 68365 78196 79090 81247 83732 86999 97745 104665 124387 136730 158180 162494 173998 195490 209330 215039 248774 273460 324988 347996 390980 406235 418660 430078 434995 497548 621935 812470 860156 869990 893717 1075195 1243870 1368257 1624940 1739980 1787434 2150390 2365429 2487740 2736514 3574868 4300780 4468585 4730858 5473028 6841285 8937170 9461716 9830887 11827145 13682570 14055731 15050827 17874340 19661774 23654290 27365140 28111462 30101654 39323548 47308580 49154435 56222924 60203308 70278655 75254135 98308870 140557310 150508270 154613041 196617740 281114620 301016540 309226082 618452164 773065205 1546130410 1700743451 3092260820 3401486902 6802973804 8503717255 17007434510 34014869020