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4142302032414 = 237137586633759
BaseRepresentation
bin111100010001110100011…
…100001111001000011110
3112200000000011001221111010
4330101310130033020132
51020331413310014124
612450540340240050
7605162051220150
oct74216434171036
915600004057433
104142302032414
111357816564837
1256a9806a0026
13240804594990
141046ba5a8ad0
1572b3dd50529
hex3c47470f21e

4142302032414 has 32 divisors (see below), whose sum is σ = 10196435773440. Its totient is φ = 1092475261152.

The previous prime is 4142302032373. The next prime is 4142302032431.

4142302032414 is nontrivially palindromic in base 10.

4142302032414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41423020324142 (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 15 ways as a sum of consecutive naturals, for example, 3793316334 + ... + 3793317425.

It is an arithmetic number, because the mean of its divisors is an integer number (318638617920).

Almost surely, 24142302032414 is an apocalyptic number.

4142302032414 is an abundant number, since it is smaller than the sum of its proper divisors (6054133741026).

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

4142302032414 is a wasteful number, since it uses less digits than its factorization.

4142302032414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7586633784.

The product of its (nonzero) digits is 18432, while the sum is 30.

The spelling of 4142302032414 in words is "four trillion, one hundred forty-two billion, three hundred two million, thirty-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 7586633759 15173267518 22759901277 45519802554 53106436313 98626238867 106212872626 159319308939 197252477734 295878716601 318638617878 591757433202 690383672069 1380767344138 2071151016207 4142302032414