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42615776340 = 22325236754313
BaseRepresentation
bin100111101100000110…
…010010010001010100
311001222222002202001200
4213230012102101110
51144234114320330
631324415552500
73036026056614
oct475406222124
9131888082050
1042615776340
1117089549575
128313b2b730
134031c8a307
1420c3b58a44
151196481a60
hex9ec192454

42615776340 has 36 divisors (see below), whose sum is σ = 129267855444. Its totient is φ = 11364206976.

The previous prime is 42615776323. The next prime is 42615776347. The reversal of 42615776340 is 4367751624.

42615776340 is a `hidden beast` number, since 4 + 2 + 6 + 1 + 5 + 7 + 7 + 634 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24011361936 + 18604414404 = 154956^2 + 136398^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×426157763402 (a number of 22 digits) contains 22 as substring.

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 (42615776347) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118376977 + ... + 118377336.

Almost surely, 242615776340 is an apocalyptic number.

It is an amenable number.

42615776340 is an abundant number, since it is smaller than the sum of its proper divisors (86652079104).

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

42615776340 is a wasteful number, since it uses less digits than its factorization.

42615776340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236754328 (or 236754323 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 42615776340 in words is "forty-two billion, six hundred fifteen million, seven hundred seventy-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 236754313 473508626 710262939 947017252 1183771565 1420525878 2130788817 2367543130 2841051756 3551314695 4261577634 4735086260 7102629390 8523155268 10653944085 14205258780 21307888170 42615776340