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44123311320 = 233511231453337
BaseRepresentation
bin101001000101111101…
…000100110011011000
311012220000210110021120
4221011331010303120
51210331031430240
632134151405240
73121262646414
oct510575046330
9135800713246
1044123311320
1117792505950
128674983820
1342123ba14a
1421c805dd44
1512339b8ad0
hexa45f44cd8

44123311320 has 128 divisors (see below), whose sum is σ = 150682083840. Its totient is φ = 10231485440.

The previous prime is 44123311273. The next prime is 44123311339. The reversal of 44123311320 is 2311332144.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 696309 + ... + 757028.

It is an arithmetic number, because the mean of its divisors is an integer number (1177203780).

Almost surely, 244123311320 is an apocalyptic number.

44123311320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44123311320 is an abundant number, since it is smaller than the sum of its proper divisors (106558772520).

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

44123311320 is a wasteful number, since it uses less digits than its factorization.

44123311320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453385 (or 1453381 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 44123311320 its reverse (2311332144), we get a palindrome (46434643464).

The spelling of 44123311320 in words is "forty-four billion, one hundred twenty-three million, three hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 23 24 30 33 40 44 46 55 60 66 69 88 92 110 115 120 132 138 165 184 220 230 253 264 276 330 345 440 460 506 552 660 690 759 920 1012 1265 1320 1380 1518 2024 2530 2760 3036 3795 5060 6072 7590 10120 15180 30360 1453337 2906674 4360011 5813348 7266685 8720022 11626696 14533370 15986707 17440044 21800055 29066740 31973414 33426751 34880088 43600110 47960121 58133480 63946828 66853502 79933535 87200220 95920242 100280253 127893656 133707004 159867070 167133755 174400440 191840484 200560506 239800605 267414008 319734140 334267510 367694261 383680968 401121012 479601210 501401265 639468280 668535020 735388522 802242024 959202420 1002802530 1103082783 1337070040 1470777044 1838471305 1918404840 2005605060 2206165566 2941554088 3676942610 4011210120 4412331132 5515413915 7353885220 8824662264 11030827830 14707770440 22061655660 44123311320