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1040201312 = 25233673851
BaseRepresentation
bin111110000000000…
…011011001100000
32200111022200221112
4332000003121200
54112242420222
6251115042452
734530364613
oct7600033140
92614280845
101040201312
11494191707
12250440428
13137674547
149c21417a
15614c2be2
hex3e003660

1040201312 has 48 divisors (see below), whose sum is σ = 2143314432. Its totient is φ = 496003200.

The previous prime is 1040201293. The next prime is 1040201317. The reversal of 1040201312 is 2131020401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040201317) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 268187 + ... + 272037.

It is an arithmetic number, because the mean of its divisors is an integer number (44652384).

Almost surely, 21040201312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040201312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071657216).

1040201312 is an abundant number, since it is smaller than the sum of its proper divisors (1103113120).

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

1040201312 is a wasteful number, since it uses less digits than its factorization.

1040201312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4251 (or 4243 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1040201312 is about 32252.1520522275. The cubic root of 1040201312 is about 1013.2247717648.

Adding to 1040201312 its reverse (2131020401), we get a palindrome (3171221713).

The spelling of 1040201312 in words is "one billion, forty million, two hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 92 184 367 368 734 736 1468 2936 3851 5872 7702 8441 11744 15404 16882 30808 33764 61616 67528 88573 123232 135056 177146 270112 354292 708584 1413317 1417168 2826634 2834336 5653268 11306536 22613072 32506291 45226144 65012582 130025164 260050328 520100656 1040201312