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10444041014124 = 22317731633942923
BaseRepresentation
bin1001011111111011000101…
…0110101100101101101100
31100222102220011201221120110
42113332301112230231230
52332103343444422444
634113532021020020
72125362033603354
oct227766126545554
940872804657513
1010444041014124
113367324971153
121208160254610
135a9b3aacab23
142816cc44bb64
15131a17e9acb9
hex97fb15acb6c

10444041014124 has 96 divisors (see below), whose sum is σ = 26158599855360. Its totient is φ = 3231404402688.

The previous prime is 10444041014117. The next prime is 10444041014131. The reversal of 10444041014124 is 42141014044401.

It is an interprime number because it is at equal distance from previous prime (10444041014117) and next prime (10444041014131).

It is a junction number, because it is equal to n+sod(n) for n = 10444041014091 and 10444041014100.

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, 243298927 + ... + 243341849.

It is an arithmetic number, because the mean of its divisors is an integer number (272485415160).

Almost surely, 210444041014124 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 10444041014124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13079299927680).

10444041014124 is an abundant number, since it is smaller than the sum of its proper divisors (15714558841236).

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

10444041014124 is a wasteful number, since it uses less digits than its factorization.

10444041014124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59359 (or 59357 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

Adding to 10444041014124 its reverse (42141014044401), we get a palindrome (52585055058525).

The spelling of 10444041014124 in words is "ten trillion, four hundred forty-four billion, forty-one million, fourteen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 73 102 146 204 219 292 438 876 1241 2482 3723 4964 7446 14892 16339 32678 42923 49017 65356 85846 98034 128769 171692 196068 257538 277763 515076 555526 729691 833289 1111052 1192747 1459382 1666578 2189073 2385494 2918764 3133379 3333156 3578241 4378146 4770988 6266758 7156482 8756292 9400137 12533516 14312964 18800274 20276699 37600548 40553398 53267443 60830097 81106796 106534886 121660194 159802329 213069772 243320388 319604658 639209316 701318897 1402637794 2103956691 2805275588 4207913382 8415826764 11922421249 23844842498 35767263747 47689684996 51196279481 71534527494 102392558962 143069054988 153588838443 204785117924 307177676886 614355353772 870336751177 1740673502354 2611010253531 3481347004708 5222020507062 10444041014124