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1410141132 = 2232236312699
BaseRepresentation
bin101010000001101…
…0000101111001100
310122021102120222100
41110003100233030
510341444004012
6351532115100
746642000431
oct12403205714
93567376870
101410141132
11663a959a4
12334305a90
131961bc64a
14d53d1b88
1583be98dc
hex540d0bcc

1410141132 has 72 divisors (see below), whose sum is σ = 3726777600. Its totient is φ = 448731360.

The previous prime is 1410141121. The next prime is 1410141191. The reversal of 1410141132 is 2311410141.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 521119 + ... + 523817.

It is an arithmetic number, because the mean of its divisors is an integer number (51760800).

Almost surely, 21410141132 is an apocalyptic number.

1410141132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1410141132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1863388800).

1410141132 is an abundant number, since it is smaller than the sum of its proper divisors (2316636468).

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

1410141132 is a wasteful number, since it uses less digits than its factorization.

1410141132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3363 (or 3358 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1410141132 is about 37551.8459200077. The cubic root of 1410141132 is about 1121.3835824039.

Adding to 1410141132 its reverse (2311410141), we get a palindrome (3721551273).

The spelling of 1410141132 in words is "one billion, four hundred ten million, one hundred forty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 631 828 1262 1893 2524 2699 3786 5398 5679 7572 8097 10796 11358 14513 16194 22716 24291 29026 32388 43539 48582 58052 62077 87078 97164 124154 130617 174156 186231 248308 261234 372462 522468 558693 744924 1117386 1703069 2234772 3406138 5109207 6812276 10218414 15327621 20436828 30655242 39170587 61310484 78341174 117511761 156682348 235023522 352535283 470047044 705070566 1410141132