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145084046208 = 2731919885423
BaseRepresentation
bin1000011100011110101…
…1101101101110000000
3111212111011020012000220
42013013223231232000
54334113003434313
6150352314343040
713324214021313
oct2070753555600
9455434205026
10145084046208
1156591186322
122415042aa80
13108b1c6986a
14704492a97a
153b9222a823
hex21c7aedb80

145084046208 has 64 divisors (see below), whose sum is σ = 405662649600. Its totient is φ = 45816012288.

The previous prime is 145084046183. The next prime is 145084046251. The reversal of 145084046208 is 802640480541.

145084046208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 145084046208.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 9935416 + ... + 9950007.

It is an arithmetic number, because the mean of its divisors is an integer number (6338478900).

Almost surely, 2145084046208 is an apocalyptic number.

It is an amenable number.

145084046208 is an abundant number, since it is smaller than the sum of its proper divisors (260578603392).

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

145084046208 is a wasteful number, since it uses less digits than its factorization.

145084046208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19885459 (or 19885447 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The spelling of 145084046208 in words is "one hundred forty-five billion, eighty-four million, forty-six thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3648 7296 19885423 39770846 59656269 79541692 119312538 159083384 238625076 318166768 377823037 477250152 636333536 755646074 954500304 1133469111 1272667072 1511292148 1909000608 2266938222 2545334144 3022584296 3818001216 4533876444 6045168592 7636002432 9067752888 12090337184 18135505776 24180674368 36271011552 48361348736 72542023104 145084046208