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10444431301304 = 237111310112913363
BaseRepresentation
bin1001011111111100100010…
…0111100001101010111000
31100222110220101010120221012
42113333020213201222320
52332110143403120204
634114034442133052
72125404513153020
oct227771047415270
940873811116835
1010444431301304
113367505202740
12120824aab1188
135a9ba091b4a0
14281728204a80
15131a3c39176e
hex97fc89e1ab8

10444431301304 has 128 divisors (see below), whose sum is σ = 26554008660480. Its totient is φ = 3719048256000.

The previous prime is 10444431301303. The next prime is 10444431301333. The reversal of 10444431301304 is 40310313444401.

It is a super-2 number, since 2×104444313013042 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10444431301303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5647874 + ... + 7265489.

It is an arithmetic number, because the mean of its divisors is an integer number (207453192660).

Almost surely, 210444431301304 is an apocalyptic number.

10444431301304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10444431301304 is an abundant number, since it is smaller than the sum of its proper divisors (16109577359176).

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

10444431301304 is a wasteful number, since it uses less digits than its factorization.

10444431301304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12913501 (or 12913497 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 10444431301304 its reverse (40310313444401), we get a palindrome (50754744745705).

The spelling of 10444431301304 in words is "ten trillion, four hundred forty-four billion, four hundred thirty-one million, three hundred one thousand, three hundred four".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 101 104 143 154 182 202 286 308 364 404 572 616 707 728 808 1001 1111 1144 1313 1414 2002 2222 2626 2828 4004 4444 5252 5656 7777 8008 8888 9191 10504 14443 15554 18382 28886 31108 36764 57772 62216 73528 101101 115544 202202 404404 808808 12913363 25826726 51653452 90393541 103306904 142046993 167873719 180787082 284093986 335747438 361574164 568187972 671494876 723148328 994328951 1136375944 1175116033 1304249663 1342989752 1846610909 1988657902 2350232066 2608499326 3693221818 3977315804 4700464132 5216998652 7386443636 7954631608 9129747641 9400928264 10433997304 12926276363 14346746293 14772887272 16955245619 18259495282 25852552726 28693492586 33910491238 36518990564 51705105452 57386985172 67820982476 73037981128 100427224051 103410210904 114773970344 118686719333 135641964952 186507701809 200854448102 237373438666 373015403618 401708896204 474746877332 746030807236 803417792408 949493754664 1305553912663 1492061614472 2611107825326 5222215650652 10444431301304