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10240223340024 = 23332915971023653
BaseRepresentation
bin1001010100000011110011…
…0111111110010111111000
31100020221210202211022202000
42111000330313332113320
52320233434133340044
633440143232541000
72104555165136226
oct225007467762770
940227722738660
1010240223340024
113298944127997
12119475a0b1760
135938588969c2
142758b5317b16
1512b5897b8d69
hex9503cdfe5f8

10240223340024 has 128 divisors (see below), whose sum is σ = 29444383656000. Its totient is φ = 3293637161472.

The previous prime is 10240223340007. The next prime is 10240223340107. The reversal of 10240223340024 is 42004332204201.

10240223340024 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 0 + 2 + 233 + 400 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10240223340024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9491782 + ... + 10515434.

Almost surely, 210240223340024 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 10240223340024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14722191828000).

10240223340024 is an abundant number, since it is smaller than the sum of its proper divisors (19204160315976).

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

10240223340024 is a wasteful number, since it uses less digits than its factorization.

10240223340024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025294 (or 1025284 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 10240223340024 its reverse (42004332204201), we get a palindrome (52244555544225).

The spelling of 10240223340024 in words is "ten trillion, two hundred forty billion, two hundred twenty-three million, three hundred forty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 174 216 232 261 348 522 696 783 1044 1566 1597 2088 3132 3194 4791 6264 6388 9582 12776 14373 19164 28746 38328 43119 46313 57492 86238 92626 114984 138939 172476 185252 277878 344952 370504 416817 555756 833634 1023653 1111512 1250451 1667268 2047306 2500902 3070959 3334536 4094612 5001804 6141918 8189224 9212877 10003608 12283836 18425754 24567672 27638631 29685937 36851508 55277262 59371874 73703016 89057811 110554524 118743748 178115622 221109048 237487496 267173433 356231244 534346866 712462488 801520299 1068693732 1603040598 1634773841 2137387464 3206081196 3269547682 4904321523 6412162392 6539095364 9808643046 13078190728 14712964569 19617286092 29425929138 39234572184 44138893707 47408441389 58851858276 88277787414 94816882778 117703716552 142225324167 176555574828 189633765556 284450648334 353111149656 379267531112 426675972501 568901296668 853351945002 1137802593336 1280027917503 1706703890004 2560055835006 3413407780008 5120111670012 10240223340024