Search a number
-
+
3213334042140 = 2235163328561763
BaseRepresentation
bin101110110000101001101…
…000100101011000011100
3102101012011202220111002010
4232300221220211120130
5410121402003322030
610500104004231220
7451104261460365
oct56605150453034
912335152814063
103213334042140
111029849328112
1243a92309b510
131a40294aa631
14b1751c58b6c
15588bd6006b0
hex2ec29a2561c

3213334042140 has 48 divisors (see below), whose sum is σ = 9052533721728. Its totient is φ = 851632087104.

The previous prime is 3213334042117. The next prime is 3213334042169. The reversal of 3213334042140 is 412404333123.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3213334042098 and 3213334042107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164271102 + ... + 164290661.

It is an arithmetic number, because the mean of its divisors is an integer number (188594452536).

Almost surely, 23213334042140 is an apocalyptic number.

3213334042140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3213334042140 is an abundant number, since it is smaller than the sum of its proper divisors (5839199679588).

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

3213334042140 is a wasteful number, since it uses less digits than its factorization.

3213334042140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328561938 (or 328561936 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 3213334042140 its reverse (412404333123), we get a palindrome (3625738375263).

The spelling of 3213334042140 in words is "three trillion, two hundred thirteen billion, three hundred thirty-four million, forty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 163 326 489 652 815 978 1630 1956 2445 3260 4890 9780 328561763 657123526 985685289 1314247052 1642808815 1971370578 3285617630 3942741156 4928426445 6571235260 9856852890 19713705780 53555567369 107111134738 160666702107 214222269476 267777836845 321333404214 535555673690 642666808428 803333510535 1071111347380 1606667021070 3213334042140