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44341244214344 = 237111011559457151
BaseRepresentation
bin10100001010100000000000…
…00111000011110001001000
312210222222111112210220200222
422011100000013003301020
521302441332004324334
6234150030354045212
712224356240031210
oct1205200007036110
9183888445726628
1044341244214344
111314601a4266a0
124b81768b79808
131b98490c7964c
14ad41b0487240
1551d63e1ddd2e
hex2854001c3c48

44341244214344 has 128 divisors (see below), whose sum is σ = 104748517785600. Its totient is φ = 17093752800000.

The previous prime is 44341244214299. The next prime is 44341244214353.

44341244214344 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×443412442143442 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 44341244214295 and 44341244214304.

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, 96766169 + ... + 97223319.

It is an arithmetic number, because the mean of its divisors is an integer number (818347795200).

Almost surely, 244341244214344 is an apocalyptic number.

44341244214344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44341244214344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52374258892800).

44341244214344 is an abundant number, since it is smaller than the sum of its proper divisors (60407273571256).

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

44341244214344 is a wasteful number, since it uses less digits than its factorization.

44341244214344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458835 (or 458831 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 44.

It can be divided in two parts, 4434124 and 4214344, that added together give a palindrome (8648468).

The spelling of 44341244214344 in words is "forty-four trillion, three hundred forty-one billion, two hundred forty-four million, two hundred fourteen thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 101 154 202 308 404 616 707 808 1111 1414 1559 2222 2828 3118 4444 5656 6236 7777 8888 10913 12472 15554 17149 21826 31108 34298 43652 62216 68596 87304 120043 137192 157459 240086 314918 457151 480172 629836 914302 960344 1102213 1259672 1732049 1828604 2204426 3200057 3464098 3657208 4408852 5028661 6400114 6928196 8817704 10057322 12124343 12800228 13856392 20114644 24248686 25600456 35200627 40229288 46172251 48497372 70401254 92344502 96994744 140802508 184689004 281605016 323205757 369378008 507894761 646411514 712698409 1015789522 1292823028 1425396818 2031579044 2585646056 2850793636 3555263327 4063158088 4988888863 5701587272 7110526654 7839682499 9977777726 14221053308 15679364998 19955555452 28442106616 31358729996 39911110904 54877777493 62717459992 71982539309 109755554986 143965078618 219511109972 287930157236 439022219944 503877775163 575860314472 791807932399 1007755550326 1583615864798 2015511100652 3167231729596 4031022201304 5542655526793 6334463459192 11085311053586 22170622107172 44341244214344