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3421024145004 = 22317181405122871
BaseRepresentation
bin110001110010000100111…
…011011100111001101100
3110010001021001110212112010
4301302010323130321230
5422022224140120004
611135332524041220
7502106111304354
oct61620473347154
913101231425463
103421024145004
1110a9936a42424
12473026093210
131ba7a7a8801b
14bb8153b5b64
155dec6c58a89
hex31c84edce6c

3421024145004 has 96 divisors (see below), whose sum is σ = 8501107410432. Its totient is φ = 1067022720000.

The previous prime is 3421024144963. The next prime is 3421024145029. The reversal of 3421024145004 is 4005414201243.

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, 149567689 + ... + 149590559.

It is an arithmetic number, because the mean of its divisors is an integer number (88553202192).

Almost surely, 23421024145004 is an apocalyptic number.

3421024145004 is a gapful number since it is divisible by the number (34) 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 3421024145004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4250553705216).

3421024145004 is an abundant number, since it is smaller than the sum of its proper divisors (5080083265428).

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

3421024145004 is a wasteful number, since it uses less digits than its factorization.

3421024145004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27127 (or 27125 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 3421024145004 its reverse (4005414201243), we get a palindrome (7426438346247).

The spelling of 3421024145004 in words is "three trillion, four hundred twenty-one billion, twenty-four million, one hundred forty-five thousand, four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 181 204 362 543 724 1086 2172 3077 4051 6154 8102 9231 12153 12308 16204 18462 22871 24306 36924 45742 48612 68613 68867 91484 137226 137734 206601 274452 275468 388807 413202 733231 777614 826404 1166421 1466462 1555228 2199693 2332842 2932924 4139651 4399386 4665684 8279302 8798772 12418953 12464927 16558604 24837906 24929854 37394781 49675812 49859708 70374067 74789562 92650421 140748134 149579124 185300842 211122201 277951263 281496268 370601684 422244402 555902526 844488804 1111805052 1575057157 3150114314 4725171471 6300228628 9450342942 16769726201 18900685884 33539452402 50309178603 67078904804 100618357206 201236714412 285085345417 570170690834 855256036251 1140341381668 1710512072502 3421024145004