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1440014112 = 253661729
BaseRepresentation
bin101010111010100…
…1101111100100000
310201100122022000000
41111311031330200
510422120422422
6354520300000
750453626605
oct12565157440
93640568000
101440014112
11679939a09
12342311600
1319c44b874
14d936a6ac
158664acac
hex55d4df20

1440014112 has 84 divisors (see below), whose sum is σ = 4250666070. Its totient is φ = 479996928.

The previous prime is 1440014089. The next prime is 1440014117. The reversal of 1440014112 is 2114100441.

It can be written as a sum of positive squares in only one way, i.e., 806787216 + 633226896 = 28404^2 + 25164^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1440014117) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 7537 + ... + 54192.

Almost surely, 21440014112 is an apocalyptic number.

1440014112 is a gapful number since it is divisible by the number (12) 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 1440014112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2125333035).

1440014112 is an abundant number, since it is smaller than the sum of its proper divisors (2810651958).

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

1440014112 is an frugal number, since it uses more digits than its factorization.

1440014112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61757 (or 61734 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1440014112 is about 37947.5178634914. The cubic root of 1440014112 is about 1129.2469235064.

Adding to 1440014112 its reverse (2114100441), we get a palindrome (3554114553).

The spelling of 1440014112 in words is "one billion, four hundred forty million, fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2592 2916 3888 5832 7776 11664 23328 61729 123458 185187 246916 370374 493832 555561 740748 987664 1111122 1481496 1666683 1975328 2222244 2962992 3333366 4444488 5000049 5925984 6666732 8888976 10000098 13333464 15000147 17777952 20000196 26666928 30000294 40000392 45000441 53333856 60000588 80000784 90000882 120001176 160001568 180001764 240002352 360003528 480004704 720007056 1440014112