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1144402040040 = 2335731439100109
BaseRepresentation
bin10000101001110011101…
…011010101010011101000
311001101220100100002221020
4100221303223111103220
5122222213410240130
62233421523212440
7145452230561220
oct20516353252350
94041810302836
101144402040040
1140137a131956
12165961b17120
1383bbbb5624c
143d564561080
151eb7db75e10
hex10a73ad54e8

1144402040040 has 256 divisors, whose sum is σ = 4059500544000. Its totient is φ = 252560471040.

The previous prime is 1144402040027. The next prime is 1144402040053. The reversal of 1144402040040 is 400402044411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1144402040027) and next prime (1144402040053).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11381506 + ... + 11481614.

It is an arithmetic number, because the mean of its divisors is an integer number (15857424000).

Almost surely, 21144402040040 is an apocalyptic number.

1144402040040 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 1144402040040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2029750272000).

1144402040040 is an abundant number, since it is smaller than the sum of its proper divisors (2915098503960).

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

1144402040040 is a wasteful number, since it uses less digits than its factorization.

1144402040040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100600 (or 100596 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 1144402040040 its reverse (400402044411), we get a palindrome (1544804084451).

The spelling of 1144402040040 in words is "one trillion, one hundred forty-four billion, four hundred two million, forty thousand, forty".