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4142790956440 = 235103569773911
BaseRepresentation
bin111100010010010001100…
…101010101010110011000
3112200001021020001212011101
4330102101211111112120
51020333413441101230
612451101043441144
7605210136053503
oct74222145252630
915601236055141
104142790956440
111357a47546684
1256aa983861b4
1324088196c536
141047254ba13a
1572b6bc2baca
hex3c491955598

4142790956440 has 16 divisors (see below), whose sum is σ = 9321279652080. Its totient is φ = 1657116382560.

The previous prime is 4142790956299. The next prime is 4142790956449. The reversal of 4142790956440 is 446590972414.

It is a super-2 number, since 2×41427909564402 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4142790956449) 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 3 ways as a sum of consecutive naturals, for example, 51784886916 + ... + 51784886995.

It is an arithmetic number, because the mean of its divisors is an integer number (582579978255).

Almost surely, 24142790956440 is an apocalyptic number.

4142790956440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4142790956440 is an abundant number, since it is smaller than the sum of its proper divisors (5178488695640).

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

4142790956440 is a wasteful number, since it uses less digits than its factorization.

4142790956440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103569773922 (or 103569773918 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 55.

The spelling of 4142790956440 in words is "four trillion, one hundred forty-two billion, seven hundred ninety million, nine hundred fifty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 103569773911 207139547822 414279095644 517848869555 828558191288 1035697739110 2071395478220 4142790956440