Search a number
-
+
3421424274200 = 2352191038741503
BaseRepresentation
bin110001110010011100110…
…001110100101100011000
3110010002021221101112120222
4301302130301310230120
5422024034103233300
611135440340135212
7502122040324652
oct61623461645430
913102257345528
103421424274200
1110aa021896409
12473118097508
131ba83c94336a
14bb8525b16d2
155deebe45785
hex31c9cc74b18

3421424274200 has 96 divisors (see below), whose sum is σ = 8454782668800. Its totient is φ = 1283951813760.

The previous prime is 3421424274193. The next prime is 3421424274217. The reversal of 3421424274200 is 24724241243.

It is a happy number.

It is a super-2 number, since 2×34214242742002 (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, 3979352 + ... + 4762151.

It is an arithmetic number, because the mean of its divisors is an integer number (88070652800).

Almost surely, 23421424274200 is an apocalyptic number.

It is an amenable number.

3421424274200 is an abundant number, since it is smaller than the sum of its proper divisors (5033358394600).

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

3421424274200 is a wasteful number, since it uses less digits than its factorization.

3421424274200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8741641 (or 8741632 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 35.

The spelling of 3421424274200 in words is "three trillion, four hundred twenty-one billion, four hundred twenty-four million, two hundred seventy-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 103 152 190 200 206 380 412 475 515 760 824 950 1030 1900 1957 2060 2575 3800 3914 4120 5150 7828 9785 10300 15656 19570 20600 39140 48925 78280 97850 195700 391400 8741503 17483006 34966012 43707515 69932024 87415030 166088557 174830060 218537575 332177114 349660120 437075150 664354228 830442785 874150300 900374809 1328708456 1660885570 1748300600 1800749618 3321771140 3601499236 4152213925 4501874045 6643542280 7202998472 8304427850 9003748090 16608855700 17107121371 18007496180 22509370225 33217711400 34214242742 36014992360 45018740450 68428485484 85535606855 90037480900 136856970968 171071213710 180074961800 342142427420 427678034275 684284854840 855356068550 1710712137100 3421424274200