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144300411024112 = 24761113599312043
BaseRepresentation
bin100000110011110110001110…
…101111010111001011110000
3200220220222120202021110100201
4200303312032233113023300
5122403204220210232422
61230522405455524544
742252234463622560
oct4063661657271360
9626828522243321
10144300411024112
1141a84508134662
1214226477829754
136269616539065
14278c26a1a2da0
1511a38b8c95727
hex833d8ebd72f0

144300411024112 has 160 divisors (see below), whose sum is σ = 328182416409600. Its totient is φ = 60190055976960.

The previous prime is 144300411024103. The next prime is 144300411024167. The reversal of 144300411024112 is 211420114003441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 462281563 + ... + 462593605.

It is an arithmetic number, because the mean of its divisors is an integer number (2051140102560).

Almost surely, 2144300411024112 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 144300411024112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164091208204800).

144300411024112 is an abundant number, since it is smaller than the sum of its proper divisors (183882005385488).

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

144300411024112 is a wasteful number, since it uses less digits than its factorization.

144300411024112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312831 (or 312825 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 144300411024112 its reverse (211420114003441), we get a palindrome (355720525027553).

The spelling of 144300411024112 in words is "one hundred forty-four trillion, three hundred billion, four hundred eleven million, twenty-four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 61 112 113 122 226 244 427 452 488 599 791 854 904 976 1198 1582 1708 1808 2396 3164 3416 4193 4792 6328 6832 6893 8386 9584 12656 13786 16772 27572 33544 36539 48251 55144 67088 67687 73078 96502 110288 135374 146156 193004 255773 270748 292312 312043 386008 473809 511546 541496 584624 624086 772016 947618 1023092 1082992 1248172 1895236 2046184 2184301 2496344 3790472 4092368 4128907 4368602 4992688 7580944 8257814 8737204 16515628 17474408 19034623 28902349 33031256 34948816 35260859 38069246 57804698 66062512 70521718 76138492 115609396 133242361 141043436 152276984 186913757 231218792 246826013 266484722 282086872 304553968 373827514 462437584 493652026 532969444 564173744 747655028 987304052 1065938888 1308396299 1495310056 1974608104 2131877776 2150912399 2616792598 2990620112 3949216208 4301824798 5233585196 8603649596 10467170392 11401739177 15056386793 17207299192 20934340784 21121254541 22803478354 30112773586 34414598384 42242509082 45606956708 60225547172 79812174239 84485018164 91213913416 120451094344 147848781787 159624348478 168970036328 182427826832 240902188688 295697563574 319248696956 337940072656 591395127148 638497393912 1182790254296 1276994787824 1288396527001 2365580508592 2576793054002 5153586108004 9018775689007 10307172216008 18037551378014 20614344432016 36075102756028 72150205512056 144300411024112