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2145144045040 = 245191411278977
BaseRepresentation
bin11111001101110100100…
…011000111110111110000
321121001222202222021220221
4133031310203013313300
5240121223333420130
64321244321342424
7310660445350153
oct37156443076760
97531882867827
102145144045040
11757828987117
122a78b0497a14
13127394a7a4a9
1475b7b357c9a
153ac0060a87a
hex1f3748c7df0

2145144045040 has 40 divisors (see below), whose sum is σ = 5249957798160. Its totient is φ = 812896690176.

The previous prime is 2145144045001. The next prime is 2145144045041. The reversal of 2145144045040 is 405404415412.

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

It is a junction number, because it is equal to n+sod(n) for n = 2145144044987 and 2145144045005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145144045041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 705637969 + ... + 705641008.

It is an arithmetic number, because the mean of its divisors is an integer number (131248944954).

Almost surely, 22145144045040 is an apocalyptic number.

2145144045040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2145144045040 is an abundant number, since it is smaller than the sum of its proper divisors (3104813753120).

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

2145144045040 is a wasteful number, since it uses less digits than its factorization.

2145144045040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411279009 (or 1411279003 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 34.

The spelling of 2145144045040 in words is "two trillion, one hundred forty-five billion, one hundred forty-four million, forty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 1411278977 2822557954 5645115908 7056394885 11290231816 14112789770 22580463632 26814300563 28225579540 53628601126 56451159080 107257202252 112902318160 134071502815 214514404504 268143005630 429028809008 536286011260 1072572022520 2145144045040