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4024101031040 = 27511777533893
BaseRepresentation
bin111010100011101111000…
…111001100110010000000
3112020200220112000221011102
4322203233013030302000
51011412324330443130
612320351350433532
7563505655251536
oct72435707146200
915220815027142
104024101031040
11131168013aa42
1254ba933628a8
1323261800994c
14dcaa6158156
156ea21ca6645
hex3a8ef1ccc80

4024101031040 has 64 divisors (see below), whose sum is σ = 9620951403960. Its totient is φ = 1609500721152.

The previous prime is 4024101031009. The next prime is 4024101031043. The reversal of 4024101031040 is 401301014204.

It can be written as a sum of positive squares in 4 ways, for example, as 2641821135424 + 1382279895616 = 1625368^2 + 1175704^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4024101031043) 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, 7270334 + ... + 7804226.

Almost surely, 24024101031040 is an apocalyptic number.

4024101031040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4024101031040 is an abundant number, since it is smaller than the sum of its proper divisors (5596850372920).

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

4024101031040 is a wasteful number, since it uses less digits than its factorization.

4024101031040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545689 (or 545677 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 4024101031040 its reverse (401301014204), we get a palindrome (4425402045244).

The spelling of 4024101031040 in words is "four trillion, twenty-four billion, one hundred one million, thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 11777 23554 47108 58885 94216 117770 188432 235540 376864 471080 533893 753728 942160 1067786 1507456 1884320 2135572 2669465 3768640 4271144 5338930 7537280 8542288 10677860 17084576 21355720 34169152 42711440 68338304 85422880 170845760 341691520 6287657861 12575315722 25150631444 31438289305 50301262888 62876578610 100602525776 125753157220 201205051552 251506314440 402410103104 503012628880 804820206208 1006025257760 2012050515520 4024101031040