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1001411121040 = 245111137967183
BaseRepresentation
bin11101001001010001100…
…00010000111110010000
310112201211001200210122021
432210220300100332100
5112401342221333130
62044013015421224
7132230621040361
oct16445060207620
93481731623567
101001411121040
11356772520030
121420b6684814
137358173c1c5
143667ba11b68
151b0b05a637a
hexe928c10f90

1001411121040 has 40 divisors (see below), whose sum is σ = 2539942754688. Its totient is φ = 364149498240.

The previous prime is 1001411121001. The next prime is 1001411121071. The reversal of 1001411121040 is 401211141001.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 568982712 + ... + 568984471.

Almost surely, 21001411121040 is an apocalyptic number.

1001411121040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001411121040 is an abundant number, since it is smaller than the sum of its proper divisors (1538531633648).

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

1001411121040 is a wasteful number, since it uses less digits than its factorization.

1001411121040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137967207 (or 1137967201 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1001411121040 its reverse (401211141001), we get a palindrome (1402622262041).

The spelling of 1001411121040 in words is "one trillion, one billion, four hundred eleven million, one hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1137967183 2275934366 4551868732 5689835915 9103737464 11379671830 12517639013 18207474928 22759343660 25035278026 45518687320 50070556052 62588195065 91037374640 100141112104 125176390130 200282224208 250352780260 500705560520 1001411121040