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44067007440 = 2432561204177
BaseRepresentation
bin101001000010100110…
…010010101111010000
311012202002211220212200
4221002212102233100
51210222123214230
632124420523200
73120010245231
oct510246225720
9135662756780
1044067007440
1117763749a15
128659b50500
134203835641
1421c07a5088
15122da96160
hexa42992bd0

44067007440 has 60 divisors (see below), whose sum is σ = 147991702404. Its totient is φ = 11751201792.

The previous prime is 44067007433. The next prime is 44067007447. The reversal of 44067007440 is 4470076044.

It is an interprime number because it is at equal distance from previous prime (44067007433) and next prime (44067007447).

It can be written as a sum of positive squares in 2 ways, for example, as 12856838544 + 31210168896 = 113388^2 + 176664^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×440670074402 (a number of 22 digits) contains 22 as substring.

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 = 44067007395 and 44067007404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44067007447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30601369 + ... + 30602808.

Almost surely, 244067007440 is an apocalyptic number.

44067007440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44067007440 is an abundant number, since it is smaller than the sum of its proper divisors (103924694964).

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

44067007440 is a wasteful number, since it uses less digits than its factorization.

44067007440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61204196 (or 61204187 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The spelling of 44067007440 in words is "forty-four billion, sixty-seven million, seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 61204177 122408354 183612531 244816708 306020885 367225062 489633416 550837593 612041770 734450124 918062655 979266832 1101675186 1224083540 1468900248 1836125310 2203350372 2448167080 2754187965 2937800496 3672250620 4406700744 4896334160 5508375930 7344501240 8813401488 11016751860 14689002480 22033503720 44067007440