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1041437004192 = 253313169354767
BaseRepresentation
bin11110010011110100111…
…10111001000110100000
310200120010112110100011000
433021322132321012200
5114030330333113232
62114232441152000
7135145531322304
oct17117236710640
93616115410130
101041437004192
11371742047502
12149a0718b600
137728cc84930
14385977d9d04
151c1544a227c
hexf27a7b91a0

1041437004192 has 192 divisors, whose sum is σ = 3273172277760. Its totient is φ = 320247032832.

The previous prime is 1041437004151. The next prime is 1041437004221. The reversal of 1041437004192 is 2914007341401.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18988393 + ... + 19043159.

It is an arithmetic number, because the mean of its divisors is an integer number (17047772280).

Almost surely, 21041437004192 is an apocalyptic number.

1041437004192 is a gapful number since it is divisible by the number (12) 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 1041437004192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636586138880).

1041437004192 is an abundant number, since it is smaller than the sum of its proper divisors (2231735273568).

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

1041437004192 is a wasteful number, since it uses less digits than its factorization.

1041437004192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56492 (or 56478 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

It can be divided in two parts, 104143 and 7004192, that added together give a triangular number (7108335 = T3770).

The spelling of 1041437004192 in words is "one trillion, forty-one billion, four hundred thirty-seven million, four thousand, one hundred ninety-two".