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3332142412333 = 710119723924227
BaseRepresentation
bin110000011111010011001…
…010100011001000101101
3102210112211201211000210021
4300133103022203020231
5414043211424143313
611030433132042141
7462511411115410
oct60372312431055
912715751730707
103332142412333
111075176583109
1245995b903351
131b22b18412b7
14b73c2c0db77
155ba23b7078d
hex307d32a322d

3332142412333 has 16 divisors (see below), whose sum is σ = 3865389669504. Its totient is φ = 2813488977600.

The previous prime is 3332142412231. The next prime is 3332142412363.

It is a happy number.

3332142412333 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3332142412333 - 29 = 3332142411821 is a prime.

It is a super-2 number, since 2×33321424123332 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3332142412363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11822835 + ... + 12101392.

It is an arithmetic number, because the mean of its divisors is an integer number (241586854344).

Almost surely, 23332142412333 is an apocalyptic number.

It is an amenable number.

3332142412333 is a deficient number, since it is larger than the sum of its proper divisors (533247257171).

3332142412333 is a wasteful number, since it uses less digits than its factorization.

3332142412333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23924532.

The product of its digits is 93312, while the sum is 34.

The spelling of 3332142412333 in words is "three trillion, three hundred thirty-two billion, one hundred forty-two million, four hundred twelve thousand, three hundred thirty-three".

Divisors: 1 7 101 197 707 1379 19897 139279 23924227 167469589 2416346927 4713072719 16914428489 32991509033 476020344619 3332142412333