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42506543440 = 2454357121949
BaseRepresentation
bin100111100101100101…
…100110000101010000
311001201100120010200201
4213211211212011100
51144023133342230
631305514424544
73033231441424
oct474545460520
9131640503621
1042506543440
1117032921249
1282a3432154
13401546316a
1420b3442b84
15118baa65ca
hex9e5966150

42506543440 has 40 divisors (see below), whose sum is σ = 98851206600. Its totient is φ = 16998575616.

The previous prime is 42506543393. The next prime is 42506543467. The reversal of 42506543440 is 4434560524.

It can be written as a sum of positive squares in 4 ways, for example, as 10373829904 + 32132713536 = 101852^2 + 179256^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 42506543440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 287586 + ... + 409534.

It is an arithmetic number, because the mean of its divisors is an integer number (2471280165).

Almost surely, 242506543440 is an apocalyptic number.

42506543440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42506543440 is an abundant number, since it is smaller than the sum of its proper divisors (56344663160).

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

42506543440 is a wasteful number, since it uses less digits than its factorization.

42506543440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126319 (or 126313 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 37.

The spelling of 42506543440 in words is "forty-two billion, five hundred six million, five hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 4357 8714 17428 21785 34856 43570 69712 87140 121949 174280 243898 348560 487796 609745 975592 1219490 1951184 2438980 4877960 9755920 531331793 1062663586 2125327172 2656658965 4250654344 5313317930 8501308688 10626635860 21253271720 42506543440