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10144343384 = 2372237315413
BaseRepresentation
bin10010111001010011…
…00110010101011000
3222011222101001000122
421130221212111120
5131233422442014
64354340252412
7506246332100
oct113451462530
928158331018
1010144343384
11433624336a
121b713a1108
13c58888766
146c33b8200
153e58c158e
hex25ca66558

10144343384 has 96 divisors (see below), whose sum is σ = 23405850720. Its totient is φ = 4101318144.

The previous prime is 10144343383. The next prime is 10144343401. The reversal of 10144343384 is 48334344101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10144343381) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 650462 + ... + 665874.

It is an arithmetic number, because the mean of its divisors is an integer number (243810945).

Almost surely, 210144343384 is an apocalyptic number.

10144343384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10144343384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11702925360).

10144343384 is an abundant number, since it is smaller than the sum of its proper divisors (13261507336).

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

10144343384 is a wasteful number, since it uses less digits than its factorization.

10144343384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15529 (or 15518 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

Adding to 10144343384 its reverse (48334344101), we get a palindrome (58478687485).

The spelling of 10144343384 in words is "ten billion, one hundred forty-four million, three hundred forty-three thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 23 28 46 49 56 73 92 98 146 161 184 196 292 322 392 511 584 644 1022 1127 1288 1679 2044 2254 3358 3577 4088 4508 6716 7154 9016 11753 13432 14308 15413 23506 28616 30826 47012 61652 82271 94024 107891 123304 164542 215782 329084 354499 431564 658168 708998 755237 863128 1125149 1417996 1510474 2250298 2481493 2835992 3020948 4500596 4962986 6041896 7876043 9001192 9925972 15752086 17370451 19851944 25878427 31504172 34740902 51756854 55132301 63008344 69481804 103513708 110264602 138963608 181148989 207027416 220529204 362297978 441058408 724595956 1268042923 1449191912 2536085846 5072171692 10144343384