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2034022444120 = 2352359359104381
BaseRepresentation
bin11101100110010101001…
…011110110110001011000
321012110011112002002100001
4131212111023312301120
5231311134221202440
64154230024022344
7266644654336162
oct35462513666130
97173145062301
102034022444120
117146957086a7
1228a25a0019b4
13119a660a8904
1470639211932
1537d99d11b9a
hex1d9952f6c58

2034022444120 has 128 divisors (see below), whose sum is σ = 4870046592000. Its totient is φ = 762905904640.

The previous prime is 2034022444117. The next prime is 2034022444147. The reversal of 2034022444120 is 214442204302.

It is a congruent number.

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, 19434330 + ... + 19538710.

It is an arithmetic number, because the mean of its divisors is an integer number (38047239000).

Almost surely, 22034022444120 is an apocalyptic number.

2034022444120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2034022444120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2435023296000).

2034022444120 is an abundant number, since it is smaller than the sum of its proper divisors (2836024147880).

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

2034022444120 is a wasteful number, since it uses less digits than its factorization.

2034022444120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104833 (or 104829 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 2034022444120 its reverse (214442204302), we get a palindrome (2248464648422).

The spelling of 2034022444120 in words is "two trillion, thirty-four billion, twenty-two million, four hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 59 92 115 118 184 230 236 295 359 460 472 590 718 920 1180 1357 1436 1795 2360 2714 2872 3590 5428 6785 7180 8257 10856 13570 14360 16514 21181 27140 33028 41285 42362 54280 66056 82570 84724 104381 105905 165140 169448 208762 211810 330280 417524 423620 487163 521905 835048 847240 974326 1043810 1948652 2087620 2400763 2435815 3897304 4175240 4801526 4871630 6158479 9603052 9743260 12003815 12316958 19206104 19486520 24007630 24633916 30792395 37472779 48015260 49267832 61584790 74945558 96030520 123169580 141645017 149891116 187363895 246339160 283290034 299782232 374727790 566580068 708225085 749455580 861873917 1133160136 1416450170 1498911160 1723747834 2210893961 2832900340 3447495668 4309369585 4421787922 5665800680 6894991336 8618739170 8843575844 11054469805 17237478340 17687151688 22108939610 34474956680 44217879220 50850561103 88435758440 101701122206 203402244412 254252805515 406804488824 508505611030 1017011222060 2034022444120