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1440103120 = 24573832971
BaseRepresentation
bin101010111010110…
…0011101011010000
310201100210211002121
41111311203223100
510422131244440
6354522224024
750454450241
oct12565435320
93640724077
101440103120
1167999a875
12342355014
1319c480231
14d9390cc8
158666734a
hex55d63ad0

1440103120 has 80 divisors (see below), whose sum is σ = 3436155072. Its totient is φ = 561116160.

The previous prime is 1440103069. The next prime is 1440103127. The reversal of 1440103120 is 213010441.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1440103094 and 1440103103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1440103127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 483235 + ... + 486205.

Almost surely, 21440103120 is an apocalyptic number.

1440103120 is a gapful number since it is divisible by the number (10) 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 1440103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718077536).

1440103120 is an abundant number, since it is smaller than the sum of its proper divisors (1996051952).

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

1440103120 is a wasteful number, since it uses less digits than its factorization.

1440103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3140 (or 3134 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1440103120 is about 37948.6906229978. The cubic root of 1440103120 is about 1129.2701894681.

Adding to 1440103120 its reverse (213010441), we get a palindrome (1653113561).

The spelling of 1440103120 in words is "one billion, four hundred forty million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 83 146 166 292 332 365 415 584 664 730 830 1168 1328 1460 1660 2920 2971 3320 5840 5942 6059 6640 11884 12118 14855 23768 24236 29710 30295 47536 48472 59420 60590 96944 118840 121180 216883 237680 242360 246593 433766 484720 493186 867532 986372 1084415 1232965 1735064 1972744 2168830 2465930 3470128 3945488 4337660 4931860 8675320 9863720 17350640 18001289 19727440 36002578 72005156 90006445 144010312 180012890 288020624 360025780 720051560 1440103120