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1125242401440 = 25352344255003
BaseRepresentation
bin10000010111111101101…
…011000111001010100000
310222120110002002121210210
4100113331223013022200
5121413444023321230
62220532413454120
7144203361412443
oct20277553071240
93876402077723
101125242401440
113a4238000893
121620b54a1340
13821575c36a1
143c667b0d65a
151e40baa5eb0
hex105fdac72a0

1125242401440 has 48 divisors (see below), whose sum is σ = 3544513566048. Its totient is φ = 300064640256.

The previous prime is 1125242401399. The next prime is 1125242401441. The reversal of 1125242401440 is 441042425211.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×11252424014402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1125242401398 and 1125242401407.

It is not an unprimeable number, because it can be changed into a prime (1125242401441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1172127022 + ... + 1172127981.

It is an arithmetic number, because the mean of its divisors is an integer number (73844032626).

Almost surely, 21125242401440 is an apocalyptic number.

1125242401440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1125242401440 is an abundant number, since it is smaller than the sum of its proper divisors (2419271164608).

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

1125242401440 is a wasteful number, since it uses less digits than its factorization.

1125242401440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2344255021 (or 2344255013 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 1125242401440 its reverse (441042425211), we get a palindrome (1566284826651).

The spelling of 1125242401440 in words is "one trillion, one hundred twenty-five billion, two hundred forty-two million, four hundred one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2344255003 4688510006 7032765009 9377020012 11721275015 14065530018 18754040024 23442550030 28131060036 35163825045 37508080048 46885100060 56262120072 70327650090 75016160096 93770200120 112524240144 140655300180 187540400240 225048480288 281310600360 375080800480 562621200720 1125242401440