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540423295740 = 223552931373343
BaseRepresentation
bin1111101110100111011…
…11010001001011111100
31220122221000202220100000
413313103233101023330
532323241330430430
61052133402434300
754021123135456
oct7672357211374
91818830686300
10540423295740
11199212952929
12888a2802990
133bc66b0a193
141c229adb2d6
15e0ce880e60
hex7dd3bd12fc

540423295740 has 576 divisors, whose sum is σ = 1864969666560. Its totient is φ = 130976455680.

The previous prime is 540423295733. The next prime is 540423295747. The reversal of 540423295740 is 47592324045.

540423295740 is a `hidden beast` number, since 5 + 4 + 0 + 42 + 32 + 9 + 574 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (540423295733) and next prime (540423295747).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540423295747) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 161656509 + ... + 161659851.

It is an arithmetic number, because the mean of its divisors is an integer number (3237794560).

Almost surely, 2540423295740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540423295740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932484833280).

540423295740 is an abundant number, since it is smaller than the sum of its proper divisors (1324546370820).

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

540423295740 is a wasteful number, since it uses less digits than its factorization.

540423295740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3464 (or 3450 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 540423295740 in words is "five hundred forty billion, four hundred twenty-three million, two hundred ninety-five thousand, seven hundred forty".