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244352534112 = 2535109288293
BaseRepresentation
bin1110001110010010001…
…0111100011001100000
3212100201100101212100000
43203210202330121200
513000413222042422
6304130510500000
723440166161431
oct3434442743140
9770640355300
10244352534112
11946a16a9575
123b435204600
131a0720558bb
14bb8076d488
15655211acac
hex38e48bc660

244352534112 has 144 divisors (see below), whose sum is σ = 727227380880. Its totient is φ = 80703309312.

The previous prime is 244352534081. The next prime is 244352534113. The reversal of 244352534112 is 211435253442.

It is a happy number.

244352534112 is a `hidden beast` number, since 2 + 4 + 4 + 3 + 5 + 2 + 534 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2443525341122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244352534113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 703438 + ... + 991730.

It is an arithmetic number, because the mean of its divisors is an integer number (5050190145).

Almost surely, 2244352534112 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 244352534112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363613690440).

244352534112 is an abundant number, since it is smaller than the sum of its proper divisors (482874846768).

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

244352534112 is a wasteful number, since it uses less digits than its factorization.

244352534112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288427 (or 288407 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

Adding to 244352534112 its reverse (211435253442), we get a palindrome (455787787554).

The spelling of 244352534112 in words is "two hundred forty-four billion, three hundred fifty-two million, five hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 109 144 162 216 218 243 288 324 327 432 436 486 648 654 864 872 972 981 1296 1308 1744 1944 1962 2592 2616 2943 3488 3888 3924 5232 5886 7776 7848 8829 10464 11772 15696 17658 23544 26487 31392 35316 47088 52974 70632 94176 105948 141264 211896 282528 288293 423792 576586 847584 864879 1153172 1729758 2306344 2594637 3459516 4612688 5189274 6919032 7783911 9225376 10378548 13838064 15567822 20757096 23351733 27676128 31135644 31423937 41514192 46703466 62271288 62847874 70055199 83028384 93406932 94271811 124542576 125695748 140110398 186813864 188543622 249085152 251391496 280220796 282815433 373627728 377087244 502782992 560441592 565630866 747255456 754174488 848446299 1005565984 1120883184 1131261732 1508348976 1696892598 2241766368 2262523464 2545338897 3016697952 3393785196 4525046928 5090677794 6787570392 7636016691 9050093856 10181355588 13575140784 15272033382 20362711176 27150281568 30544066764 40725422352 61088133528 81450844704 122176267056 244352534112