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10240441364010 = 23511213217004479
BaseRepresentation
bin1001010100000100100111…
…0111101010111000101010
31100020222100222002002102110
42111001021313222320222
52320234410442122020
633440221021543150
72104563453252534
oct225011167527052
940228328062373
1010240441364010
113298a46200600
1211947bb114ab6
13593891ac1b90
142758d626c854
1512b59d9d38e0
hex95049deae2a

10240441364010 has 96 divisors (see below), whose sum is σ = 29092488606720. Its totient is φ = 2291567287680.

The previous prime is 10240441363979. The next prime is 10240441364077. The reversal of 10240441364010 is 1046314404201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108455050 + ... + 108549429.

It is an arithmetic number, because the mean of its divisors is an integer number (303046756320).

Almost surely, 210240441364010 is an apocalyptic number.

10240441364010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10240441364010 is an abundant number, since it is smaller than the sum of its proper divisors (18852047242710).

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

10240441364010 is a wasteful number, since it uses less digits than its factorization.

10240441364010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217004524 (or 217004513 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 10240441364010 its reverse (1046314404201), we get a palindrome (11286755768211).

It can be divided in two parts, 102404 and 41364010, that added together give a palindrome (41466414).

The spelling of 10240441364010 in words is "ten trillion, two hundred forty billion, four hundred forty-one million, three hundred sixty-four thousand, ten".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 121 130 143 165 195 242 286 330 363 390 429 605 715 726 858 1210 1430 1573 1815 2145 3146 3630 4290 4719 7865 9438 15730 23595 47190 217004479 434008958 651013437 1085022395 1302026874 2170044790 2387049269 2821058227 3255067185 4774098538 5642116454 6510134370 7161147807 8463174681 11935246345 14105291135 14322295614 16926349362 23870492690 26257541959 28210582270 31031640497 35805739035 42315873405 52515083918 62063280994 71611478070 78772625877 84631746810 93094921491 131287709795 155158202485 157545251754 186189842982 262575419590 310316404970 341348045467 393863129385 465474607455 682696090934 787726258770 930949214910 1024044136401 1706740227335 2048088272802 3413480454670 5120220682005 10240441364010