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145040400071 = 7211118782729
BaseRepresentation
bin1000011100010100010…
…1001101111011000111
3111212101010002201210022
42013011011031323013
54334020320300241
6150344115045355
713323144026150
oct2070505157307
9455333081708
10145040400071
1156569585336
12241398a085b
13108a5bc7548
14703cc08927
153b8d4a854b
hex21c514dec7

145040400071 has 16 divisors (see below), whose sum is σ = 166688375040. Its totient is φ = 123625414080.

The previous prime is 145040400061. The next prime is 145040400077. The reversal of 145040400071 is 170004040541.

145040400071 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 145040400071 - 222 = 145036205767 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 145040400071.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145040400077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1711835 + ... + 1794563.

It is an arithmetic number, because the mean of its divisors is an integer number (10418023440).

Almost surely, 2145040400071 is an apocalyptic number.

145040400071 is a deficient number, since it is larger than the sum of its proper divisors (21647974969).

145040400071 is a wasteful number, since it uses less digits than its factorization.

145040400071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84134.

The product of its (nonzero) digits is 2240, while the sum is 26.

The spelling of 145040400071 in words is "one hundred forty-five billion, forty million, four hundred thousand, seventy-one".

Divisors: 1 7 211 1187 1477 8309 82729 250457 579103 1753199 17455819 98199323 122190733 687395261 20720057153 145040400071