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10343414224 = 24111329155887
BaseRepresentation
bin10011010001000001…
…11111100111010000
3222200211221212212201
421220200333213100
5132140403223344
64430211132544
7514214366413
oct115040774720
928624855781
1010343414224
114428651220
122007ba4154
13c8aba8b60
147019d7b7a
154080e54d4
hex26883f9d0

10343414224 has 80 divisors (see below), whose sum is σ = 24355941120. Its totient is φ = 4190215680.

The previous prime is 10343414189. The next prime is 10343414233. The reversal of 10343414224 is 42241434301.

It is a junction number, because it is equal to n+sod(n) for n = 10343414192 and 10343414201.

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, 11592 + ... + 144295.

It is an arithmetic number, because the mean of its divisors is an integer number (304449264).

Almost surely, 210343414224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10343414224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12177970560).

10343414224 is an abundant number, since it is smaller than the sum of its proper divisors (14012526896).

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

10343414224 is a wasteful number, since it uses less digits than its factorization.

10343414224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155948 (or 155942 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 10343414224 its reverse (42241434301), we get a palindrome (52584848525).

The spelling of 10343414224 in words is "ten billion, three hundred forty-three million, four hundred fourteen thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 13 16 22 26 29 44 52 58 88 104 116 143 176 208 232 286 319 377 464 572 638 754 1144 1276 1508 2288 2552 3016 4147 5104 6032 8294 16588 33176 66352 155887 311774 623548 1247096 1714757 2026531 2494192 3429514 4053062 4520723 6859028 8106124 9041446 13718056 16212248 18082892 22291841 27436112 32424496 36165784 44583682 49727953 58769399 72331568 89167364 99455906 117538798 178334728 198911812 235077596 356669456 397823624 470155192 646463389 795647248 940310384 1292926778 2585853556 5171707112 10343414224