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141435540 = 22325785753
BaseRepresentation
bin10000110111000…
…10001010010100
3100212010200002100
420123202022110
5242201414130
622011242100
73335116341
oct1033421224
9325120070
10141435540
1172922684
123b449330
13233c088c
1414ad97c8
15c63bc60
hex86e2294

141435540 has 36 divisors (see below), whose sum is σ = 429021684. Its totient is φ = 37716096.

The previous prime is 141435521. The next prime is 141435587. The reversal of 141435540 is 45534141.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 52359696 + 89075844 = 7236^2 + 9438^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 392697 + ... + 393056.

It is an arithmetic number, because the mean of its divisors is an integer number (11917269).

Almost surely, 2141435540 is an apocalyptic number.

141435540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141435540 is an abundant number, since it is smaller than the sum of its proper divisors (287586144).

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

141435540 is a wasteful number, since it uses less digits than its factorization.

141435540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785768 (or 785763 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 141435540 is about 11892.6674888353. The cubic root of 141435540 is about 521.0181481859.

Adding to 141435540 its reverse (45534141), we get a palindrome (186969681).

It can be divided in two parts, 14143 and 5540, that added together give a 9-th power (19683 = 39).

The spelling of 141435540 in words is "one hundred forty-one million, four hundred thirty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 785753 1571506 2357259 3143012 3928765 4714518 7071777 7857530 9429036 11786295 14143554 15715060 23572590 28287108 35358885 47145180 70717770 141435540