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134214762640 = 2457239669219
BaseRepresentation
bin111110011111111010…
…0101100000010010000
3110211102122202101000211
41330333310230002100
54144332434401030
6141354000053504
712460652442040
oct1747764540220
9424378671024
10134214762640
1151a13809742
1222018304294
13c86c14bb1a
1466d3165720
153757dac12a
hex1f3fd2c090

134214762640 has 40 divisors (see below), whose sum is σ = 356627799360. Its totient is φ = 46016489856.

The previous prime is 134214762637. The next prime is 134214762653. The reversal of 134214762640 is 46267412431.

It is a happy number.

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 (40).

It is a junction number, because it is equal to n+sod(n) for n = 134214762593 and 134214762602.

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, 119834050 + ... + 119835169.

It is an arithmetic number, because the mean of its divisors is an integer number (8915694984).

Almost surely, 2134214762640 is an apocalyptic number.

134214762640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134214762640 is an abundant number, since it is smaller than the sum of its proper divisors (222413036720).

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

134214762640 is a wasteful number, since it uses less digits than its factorization.

134214762640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239669239 (or 239669233 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The spelling of 134214762640 in words is "one hundred thirty-four billion, two hundred fourteen million, seven hundred sixty-two thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 239669219 479338438 958676876 1198346095 1677684533 1917353752 2396692190 3355369066 3834707504 4793384380 6710738132 8388422665 9586768760 13421476264 16776845330 19173537520 26842952528 33553690660 67107381320 134214762640