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3402222040420 = 2257172099681041
BaseRepresentation
bin110001100000100100001…
…111000111010101100100
3110001020201200222222212021
4301200210033013111210
5421220222320243140
611122543105432524
7500542143122050
oct61404417072544
913036650888767
103402222040420
1110a1968711a15
1246b45933b744
131b8a9c618958
14ba950232c60
155d77625eb4a
hex318243c7564

3402222040420 has 96 divisors (see below), whose sum is σ = 8649778233600. Its totient is φ = 1097335234560.

The previous prime is 3402222040409. The next prime is 3402222040421. The reversal of 3402222040420 is 240402222043.

It is a super-3 number, since 3×34022220404203 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (3402222040421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4655100 + ... + 5336140.

It is an arithmetic number, because the mean of its divisors is an integer number (90101856600).

Almost surely, 23402222040420 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 3402222040420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4324889116800).

3402222040420 is an abundant number, since it is smaller than the sum of its proper divisors (5247556193180).

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

3402222040420 is a wasteful number, since it uses less digits than its factorization.

3402222040420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683173 (or 683171 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

Adding to 3402222040420 its reverse (240402222043), we get a palindrome (3642624262463).

The spelling of 3402222040420 in words is "three trillion, four hundred two billion, two hundred twenty-two million, forty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 1190 2099 2380 4198 8396 10495 14693 20990 29386 35683 41980 58772 71366 73465 142732 146930 178415 249781 293860 356830 499562 681041 713660 999124 1248905 1362082 2497810 2724164 3405205 4767287 4995620 6810410 9534574 11577697 13620820 19069148 23155394 23836435 46310788 47672870 57888485 81043879 95345740 115776970 162087758 231553940 324175516 405219395 810438790 1429505059 1620877580 2859010118 5718020236 7147525295 10006535413 14295050590 20013070826 24301586003 28590101180 40026141652 48603172006 50032677065 97206344012 100065354130 121507930015 170111102021 200130708260 243015860030 340222204042 486031720060 680444408084 850555510105 1701111020210 3402222040420