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44154045144 = 233211218892683
BaseRepresentation
bin101001000111110010…
…010100001011011000
311012222011121220011100
4221013302110023120
51210411413421034
632141210231400
73122115122406
oct510762241330
9135864556140
1044154045144
11177a8897700
128683125560
13421888b141
1421cc180476
15123653a099
hexa47c942d8

44154045144 has 144 divisors (see below), whose sum is σ = 131562030600. Its totient is φ = 13367946240.

The previous prime is 44154045119. The next prime is 44154045151.

44154045144 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 44154045099 and 44154045108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16455627 + ... + 16458309.

Almost surely, 244154045144 is an apocalyptic number.

44154045144 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 44154045144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65781015300).

44154045144 is an abundant number, since it is smaller than the sum of its proper divisors (87407985456).

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

44154045144 is a wasteful number, since it uses less digits than its factorization.

44154045144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4606 (or 4588 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

It can be divided in two parts, 441540 and 45144, that added together give a palindrome (486684).

The spelling of 44154045144 in words is "forty-four billion, one hundred fifty-four million, forty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 1889 2178 2683 2904 3778 4356 5366 5667 7556 8049 8712 10732 11334 15112 16098 17001 20779 21464 22668 24147 29513 32196 34002 41558 45336 48294 59026 62337 64392 68004 83116 88539 96588 118052 124674 136008 166232 177078 187011 193176 228569 236104 249348 265617 324643 354156 374022 457138 498696 531234 649286 685707 708312 748044 914276 973929 1062468 1298572 1371414 1496088 1828552 1947858 2057121 2124936 2597144 2742828 2921787 3895716 4114242 5068187 5485656 5843574 7791432 8228484 10136374 11687148 15204561 16456968 20272748 23374296 30409122 40545496 45613683 55750057 60818244 91227366 111500114 121636488 167250171 182454732 223000228 334500342 364909464 446000456 501750513 613250627 669000684 1003501026 1226501254 1338001368 1839751881 2007002052 2453002508 3679503762 4014004104 4906005016 5519255643 7359007524 11038511286 14718015048 22077022572 44154045144