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4144326234414 = 2317711015665967
BaseRepresentation
bin111100010011101101000…
…101111101000100101110
3112200012020012222001121120
4330103231011331010232
51020400040004000124
612451513250041410
7605263160521542
oct74235505750456
915605205861546
104144326234414
111358665131753
1256b246579266
13240a67a63c42
1410482d363a22
1572c0b8e3d79
hex3c4ed17d12e

4144326234414 has 64 divisors (see below), whose sum is σ = 8987947702272. Its totient is φ = 1269176384000.

The previous prime is 4144326234403. The next prime is 4144326234437.

4144326234414 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2101542 + ... + 3564425.

It is an arithmetic number, because the mean of its divisors is an integer number (140436682848).

Almost surely, 24144326234414 is an apocalyptic number.

4144326234414 is an abundant number, since it is smaller than the sum of its proper divisors (4843621467858).

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

4144326234414 is a wasteful number, since it uses less digits than its factorization.

4144326234414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5666161.

The product of its digits is 884736, while the sum is 42.

The spelling of 4144326234414 in words is "four trillion, one hundred forty-four billion, three hundred twenty-six million, two hundred thirty-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 17 34 51 71 101 102 142 202 213 303 426 606 1207 1717 2414 3434 3621 5151 7171 7242 10302 14342 21513 43026 121907 243814 365721 731442 5665967 11331934 16997901 33995802 96321439 192642878 288964317 402283657 572262667 577928634 804567314 1144525334 1206850971 1716788001 2413701942 3433576002 6838822169 9728465339 13677644338 19456930678 20516466507 29185396017 40630649357 41032933014 58370792034 81261298714 121891948071 243783896142 690721039069 1381442078138 2072163117207 4144326234414