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201474743340 = 22351319131157661
BaseRepresentation
bin1011101110100011010…
…1001001110000101100
3201021001010021102001010
42323220311021300230
511300110013241330
6232320050545220
720361506030163
oct2735065116054
9637033242033
10201474743340
1178499270752
1233069598210
1315ccaa0a480
149a73ccc3da
155392b803b0
hex2ee8d49c2c

201474743340 has 384 divisors, whose sum is σ = 649465850880. Its totient is φ = 46257868800.

The previous prime is 201474743333. The next prime is 201474743341. The reversal of 201474743340 is 43347474102.

201474743340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (201474743341) 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 127 ways as a sum of consecutive naturals, for example, 304802610 + ... + 304803270.

It is an arithmetic number, because the mean of its divisors is an integer number (1691317320).

Almost surely, 2201474743340 is an apocalyptic number.

201474743340 is a gapful number since it is divisible by the number (20) 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 201474743340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324732925440).

201474743340 is an abundant number, since it is smaller than the sum of its proper divisors (447991107540).

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

201474743340 is a wasteful number, since it uses less digits than its factorization.

201474743340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 39.

The spelling of 201474743340 in words is "two hundred one billion, four hundred seventy-four million, seven hundred forty-three thousand, three hundred forty".