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3420111413200 = 245237458350423
BaseRepresentation
bin110001110001001110100…
…001101001111111010000
3110002221220110000021212111
4301301032201221333100
5422013342010210300
611135102201035104
7502044356230606
oct61611641517720
913087813007774
103420111413200
1110a9508804519
12472a10485a94
131ba690954531
14bb76a0a3876
155de71a649ba
hex31c4e869fd0

3420111413200 has 120 divisors (see below), whose sum is σ = 8440902569088. Its totient is φ = 1330753559040.

The previous prime is 3420111413177. The next prime is 3420111413293. The reversal of 3420111413200 is 23141110243.

3420111413200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×34201114132002 (a number of 26 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 23 ways as a sum of consecutive naturals, for example, 67803189 + ... + 67853611.

Almost surely, 23420111413200 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 3420111413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4220451284544).

3420111413200 is an abundant number, since it is smaller than the sum of its proper divisors (5020791155888).

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

3420111413200 is a wasteful number, since it uses less digits than its factorization.

3420111413200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55061 (or 55050 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 3420111413200 its reverse (23141110243), we get a palindrome (3443252523443).

The spelling of 3420111413200 in words is "three trillion, four hundred twenty billion, one hundred eleven million, four hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 74 80 100 148 185 200 296 370 400 592 740 925 1480 1850 2960 3700 4583 7400 9166 14800 18332 22915 36664 45830 50423 73328 91660 100846 114575 169571 183320 201692 229150 252115 339142 366640 403384 458300 504230 678284 806768 847855 916600 1008460 1260575 1356568 1695710 1833200 1865651 2016920 2521150 2713136 3391420 3731302 4033840 4239275 5042300 6782840 7462604 8478550 9328255 10084600 13565680 14925208 16957100 18656510 20169200 29850416 33914200 37313020 46641275 67828400 74626040 93282550 149252080 186565100 231088609 373130200 462177218 746260400 924354436 1155443045 1848708872 2310886090 3697417744 4621772180 5777215225 8550278533 9243544360 11554430450 17100557066 18487088720 23108860900 34201114132 42751392665 46217721800 68402228264 85502785330 92435443600 136804456528 171005570660 213756963325 342011141320 427513926650 684022282640 855027853300 1710055706600 3420111413200