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10023224144 = 2489107157419
BaseRepresentation
bin10010101010110111…
…00100001101010000
3221212112110112122212
421111123210031100
5131011421133034
64334332251252
7503245666553
oct112533441520
927775415585
1010023224144
11428393771a
121b38910b28
13c3975c27b
146b128a69a
153d9e492ce
hex2556e4350

10023224144 has 80 divisors (see below), whose sum is σ = 19995595200. Its totient is φ = 4866081792.

The previous prime is 10023224137. The next prime is 10023224173. The reversal of 10023224144 is 44142232001.

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, 23921567 + ... + 23921985.

It is an arithmetic number, because the mean of its divisors is an integer number (249944940).

Almost surely, 210023224144 is an apocalyptic number.

It is an amenable number.

10023224144 is a deficient number, since it is larger than the sum of its proper divisors (9972371056).

10023224144 is a wasteful number, since it uses less digits than its factorization.

10023224144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 10023224144 its reverse (44142232001), we get a palindrome (54165456145).

The spelling of 10023224144 in words is "ten billion, twenty-three million, two hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 89 107 157 178 214 314 356 419 428 628 712 838 856 1256 1424 1676 1712 2512 3352 6704 9523 13973 16799 19046 27946 33598 37291 38092 44833 55892 65783 67196 74582 76184 89666 111784 131566 134392 149164 152368 179332 223568 263132 268784 298328 358664 526264 596656 717328 1052528 1495111 2990222 3990137 5854687 5980444 7038781 7980274 11709374 11960888 14077562 15960548 23418748 23921776 28155124 31921096 46837496 56310248 63842192 93674992 112620496 626451509 1252903018 2505806036 5011612072 10023224144