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3141201334224 = 2431718121268019
BaseRepresentation
bin101101101101011110001…
…100001000111111010000
3102010021222201111020221110
4231231132030020333100
5402431140020143344
610403014210053320
7442641616536402
oct55553614107720
912107881436843
103141201334224
1110011a3298018
12428951b7a240
1319a2a2262745
14ac06bcc0b72
1556a9ab663b9
hex2db5e308fd0

3141201334224 has 80 divisors (see below), whose sum is σ = 8639580156480. Its totient is φ = 980030269440.

The previous prime is 3141201334213. The next prime is 3141201334231. The reversal of 3141201334224 is 4224331021413.

It is a junction number, because it is equal to n+sod(n) for n = 3141201334191 and 3141201334200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10486314 + ... + 10781705.

It is an arithmetic number, because the mean of its divisors is an integer number (107994751956).

Almost surely, 23141201334224 is an apocalyptic number.

3141201334224 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3141201334224 is an abundant number, since it is smaller than the sum of its proper divisors (5498378822256).

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

3141201334224 is a wasteful number, since it uses less digits than its factorization.

3141201334224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21268228 (or 21268222 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 3141201334224 its reverse (4224331021413), we get a palindrome (7365532355637).

The spelling of 3141201334224 in words is "three trillion, one hundred forty-one billion, two hundred one million, three hundred thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 181 204 272 362 408 543 724 816 1086 1448 2172 2896 3077 4344 6154 8688 9231 12308 18462 24616 36924 49232 73848 147696 21268019 42536038 63804057 85072076 127608114 170144152 255216228 340288304 361556323 510432456 723112646 1020864912 1084668969 1446225292 2169337938 2892450584 3849511439 4338675876 5784901168 7699022878 8677351752 11548534317 15398045756 17354703504 23097068634 30796091512 46194137268 61592183024 65441694463 92388274536 130883388926 184776549072 196325083389 261766777852 392650166778 523533555704 785300333556 1047067111408 1570600667112 3141201334224