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1041420157440 = 293513231273571
BaseRepresentation
bin11110010011110010111…
…10101000001000000000
310200120002100202102202020
433021321132220020000
5114030312030014230
62114231040121440
7135145235165355
oct17117136501000
93616070672666
101041420157440
11371733590273
12149a01606280
1377289636840
143859549262c
151c152c75810
hexf2797a8200

1041420157440 has 640 divisors, whose sum is σ = 3771790589952. Its totient is φ = 243205079040.

The previous prime is 1041420157429. The next prime is 1041420157441. The reversal of 1041420157440 is 447510241401.

It is a tau number, because it is divible by the number of its divisors (640).

It is not an unprimeable number, because it can be changed into a prime (1041420157441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 291630855 + ... + 291634425.

Almost surely, 21041420157440 is an apocalyptic number.

1041420157440 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 1041420157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1885895294976).

1041420157440 is an abundant number, since it is smaller than the sum of its proper divisors (2730370432512).

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

1041420157440 is a wasteful number, since it uses less digits than its factorization.

1041420157440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3760 (or 3744 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

Adding to 1041420157440 its reverse (447510241401), we get a palindrome (1488930398841).

The spelling of 1041420157440 in words is "one trillion, forty-one billion, four hundred twenty million, one hundred fifty-seven thousand, four hundred forty".