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542433436240 = 2456780417953
BaseRepresentation
bin1111110010010111000…
…11010110001001010000
31220212010010012121201011
413321023203112021100
532341400424424430
61053105051020304
754122002063423
oct7711343261120
91825103177634
10542433436240
1119a054596173
1289163a3a694
133c1c73c5027
141c37aa759ba
15e19b09822a
hex7e4b8d6250

542433436240 has 20 divisors (see below), whose sum is σ = 1261157739444. Its totient is φ = 216973374464.

The previous prime is 542433436219. The next prime is 542433436253. The reversal of 542433436240 is 42634334245.

It can be written as a sum of positive squares in 2 ways, for example, as 237371635264 + 305061800976 = 487208^2 + 552324^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×5424334362402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 542433436193 and 542433436202.

It is a congruent number.

It is an unprimeable number.

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, 3390208897 + ... + 3390209056.

Almost surely, 2542433436240 is an apocalyptic number.

It is an amenable number.

542433436240 is an abundant number, since it is smaller than the sum of its proper divisors (718724303204).

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

542433436240 is a wasteful number, since it uses less digits than its factorization.

542433436240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6780417966 (or 6780417960 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 40.

The spelling of 542433436240 in words is "five hundred forty-two billion, four hundred thirty-three million, four hundred thirty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 6780417953 13560835906 27121671812 33902089765 54243343624 67804179530 108486687248 135608359060 271216718120 542433436240