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10440010224 = 2432723450311
BaseRepresentation
bin10011011100100010…
…11110100111110000
3222221120201110200100
421232101132213300
5132340120311344
64443541352400
7516466423410
oct115621364760
928846643610
1010440010224
114478128226
122034408700
13ca4bca157
14710780640
15411826569
hex26e45e9f0

10440010224 has 120 divisors (see below), whose sum is σ = 34843341312. Its totient is φ = 2853164160.

The previous prime is 10440010159. The next prime is 10440010241. The reversal of 10440010224 is 42201004401.

10440010224 is a `hidden beast` number, since 1 + 0 + 440 + 0 + 1 + 0 + 224 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10440010197 and 10440010206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201972 + ... + 248339.

Almost surely, 210440010224 is an apocalyptic number.

10440010224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10440010224 is an abundant number, since it is smaller than the sum of its proper divisors (24403331088).

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

10440010224 is a wasteful number, since it uses less digits than its factorization.

10440010224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450355 (or 450346 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10440010224 its reverse (42201004401), we get a palindrome (52641014625).

The spelling of 10440010224 in words is "ten billion, four hundred forty million, ten thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 36 42 46 48 56 63 69 72 84 92 112 126 138 144 161 168 184 207 252 276 322 336 368 414 483 504 552 644 828 966 1008 1104 1288 1449 1656 1932 2576 2898 3312 3864 5796 7728 11592 23184 450311 900622 1350933 1801244 2701866 3152177 3602488 4052799 5403732 6304354 7204976 8105598 9456531 10357153 10807464 12608708 16211196 18913062 20714306 21614928 25217416 28369593 31071459 32422392 37826124 41428612 50434832 56739186 62142918 64844784 72500071 75652248 82857224 93214377 113478372 124285836 145000142 151304496 165714448 186428754 217500213 226956744 248571672 290000284 372857508 435000426 453913488 497143344 580000568 652500639 745715016 870000852 1160001136 1305001278 1491430032 1740001704 2610002556 3480003408 5220005112 10440010224