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244110344400112 = 241747611509120743
BaseRepresentation
bin110111100000010001011110…
…010111010010110011110000
31012000022201110121201002022211
4313200101132113102303300
5223444000441131300422
62223102424415141504
7102263250620330041
oct6740213627226360
91160281417632284
10244110344400112
1170865685519a93
1223466278514894
13a6296782c42c8
14443d00a2728c8
151d34d0c1dd577
hexde045e5d2cf0

244110344400112 has 160 divisors (see below), whose sum is σ = 519883969296384. Its totient is φ = 110575502438400.

The previous prime is 244110344400079. The next prime is 244110344400137. The reversal of 244110344400112 is 211004443011442.

244110344400112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2441103444001122 (a number of 30 digits) contains 22 as substring.

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, 11768313613 + ... + 11768334355.

Almost surely, 2244110344400112 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 244110344400112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259941984648192).

244110344400112 is an abundant number, since it is smaller than the sum of its proper divisors (275773624896272).

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

244110344400112 is a wasteful number, since it uses less digits than its factorization.

244110344400112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35967 (or 35961 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

Adding to 244110344400112 its reverse (211004443011442), we get a palindrome (455114787411554).

The spelling of 244110344400112 in words is "two hundred forty-four trillion, one hundred ten billion, three hundred forty-four million, four hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 34 47 61 68 94 122 136 188 244 272 376 488 752 799 976 1037 1598 2074 2867 3196 4148 5734 6392 8296 11468 12784 15091 16592 20743 22936 30182 41486 45872 48739 60364 82972 97478 120728 165944 194956 241456 256547 331888 352631 389912 513094 705262 709277 779824 920551 974921 1026188 1265323 1410524 1418554 1841102 1949842 2052376 2530646 2821048 2837108 3682204 3899684 4104752 5061292 5642096 5674216 7364408 7799368 10122584 11348432 12057709 14728816 15598736 15649367 16573657 20245168 21510491 24115418 31298734 33147314 43020982 43265897 48230836 59470181 62597468 66294628 86041964 86531794 96461672 118940362 125194936 132589256 172083928 173063588 192923344 237880724 250389872 265178512 313032613 344167856 346127176 475761448 626065226 692254352 735520249 951522896 1010993077 1252130452 1471040498 2021986154 2504260904 2942080996 4043972308 5008521808 5321554421 5884161992 8087944616 10643108842 11768323984 14712532811 16175889232 19094989393 21286217684 29425065622 38189978786 42572435368 58850131244 76379957572 85144870736 117700262488 152759915144 235400524976 250113057787 305519830288 324614819681 500226115574 649229639362 897464501471 1000452231148 1298459278724 1794929002942 2000904462296 2596918557448 3589858005884 4001808924592 5193837114896 7179716011768 14359432023536 15256896525007 30513793050014 61027586100028 122055172200056 244110344400112