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44123255232144 = 24311208463400871
BaseRepresentation
bin10100000100001001111101…
…11101000101011010010000
312210020010211112002020202120
422002010332331011122100
521240403411314412034
6233501535453414240
712202541253201024
oct1202047675053220
9183203745066676
1044123255232144
1113071627318960
124b47470a9a380
131b80a60ab6b0a
14ac7811206384
15517b3183ac49
hex28213ef45690

44123255232144 has 80 divisors (see below), whose sum is σ = 124348262344704. Its totient is φ = 13370585910400.

The previous prime is 44123255232073. The next prime is 44123255232209.

44123255232144 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44123255232096 and 44123255232105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109868029 + ... + 110268899.

Almost surely, 244123255232144 is an apocalyptic number.

44123255232144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44123255232144 is an abundant number, since it is smaller than the sum of its proper divisors (80225007112560).

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

44123255232144 is a wasteful number, since it uses less digits than its factorization.

44123255232144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609356 (or 609350 counting only the distinct ones).

The product of its digits is 921600, while the sum is 42.

It can be divided in two parts, 4412325 and 5232144, that added together give a palindrome (9644469).

The spelling of 44123255232144 in words is "forty-four trillion, one hundred twenty-three billion, two hundred fifty-five million, two hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 208463 400871 416926 625389 801742 833852 1202613 1250778 1603484 1667704 2293093 2405226 2501556 3206968 3335408 4409581 4586186 4810452 5003112 6413936 6879279 8819162 9172372 9620904 10006224 13228743 13758558 17638324 18344744 19241808 26457486 27517116 35276648 36689488 52914972 55034232 70553296 105829944 110068464 211659888 83566771273 167133542546 250700313819 334267085092 501400627638 668534170184 919234484003 1002801255276 1337068340368 1838468968006 2005602510552 2757703452009 3676937936012 4011205021104 5515406904018 7353875872024 11030813808036 14707751744048 22061627616072 44123255232144