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44214110001440 = 2551153239668853
BaseRepresentation
bin10100000110110011001100…
…10100100001100100100000
312210112211100100100201220222
422003121212110201210200
521243400444130021230
6234011403130422212
712212235602041241
oct1203314624414440
9183484310321828
1044214110001440
11130a710a488855
124b60ba7b91968
131b894aca27132
14acbd8d848cc8
1551a19cc5c6e5
hex283666521920

44214110001440 has 48 divisors (see below), whose sum is σ = 104546430141048. Its totient is φ = 17670305120256.

The previous prime is 44214110001433. The next prime is 44214110001473. The reversal of 44214110001440 is 4410001141244.

It can be written as a sum of positive squares in 4 ways, for example, as 41406702518416 + 2807407483024 = 6434804^2 + 1675532^2 .

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 7 ways as a sum of consecutive naturals, for example, 119649947 + ... + 120018906.

Almost surely, 244214110001440 is an apocalyptic number.

44214110001440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44214110001440 is an abundant number, since it is smaller than the sum of its proper divisors (60332320139608).

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

44214110001440 is a wasteful number, since it uses less digits than its factorization.

44214110001440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239670021 (or 239670013 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 44214110001440 its reverse (4410001141244), we get a palindrome (48624111142684).

The spelling of 44214110001440 in words is "forty-four trillion, two hundred fourteen billion, one hundred ten million, one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1153 2306 4612 5765 9224 11530 18448 23060 36896 46120 92240 184480 239668853 479337706 958675412 1198344265 1917350824 2396688530 3834701648 4793377060 7669403296 9586754120 19173508240 38347016480 276338187509 552676375018 1105352750036 1381690937545 2210705500072 2763381875090 4421411000144 5526763750180 8842822000288 11053527500360 22107055000720 44214110001440