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1411344312 = 233741613359
BaseRepresentation
bin101010000011111…
…0110011110111000
310122100200201102120
41110013312132320
510342301004222
6352014001240
746655141310
oct12407663670
93570621376
101411344312
11664737964
123347a6220
131965211a1
14d5626440
1583d8615c
hex541f67b8

1411344312 has 128 divisors (see below), whose sum is σ = 4199731200. Its totient is φ = 386841600.

The previous prime is 1411344307. The next prime is 1411344313. The reversal of 1411344312 is 2134431141.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1411344313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 418489 + ... + 421847.

It is an arithmetic number, because the mean of its divisors is an integer number (32810400).

Almost surely, 21411344312 is an apocalyptic number.

1411344312 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 1411344312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2099865600).

1411344312 is an abundant number, since it is smaller than the sum of its proper divisors (2788386888).

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

1411344312 is a wasteful number, since it uses less digits than its factorization.

1411344312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3477 (or 3473 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 1411344312 is about 37567.8627552859. The cubic root of 1411344312 is about 1121.7024258433.

Adding to 1411344312 its reverse (2134431141), we get a palindrome (3545775453).

The spelling of 1411344312 in words is "one billion, four hundred eleven million, three hundred forty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 56 61 82 84 122 123 164 168 183 244 246 287 328 366 427 488 492 574 732 854 861 984 1148 1281 1464 1708 1722 2296 2501 2562 3359 3416 3444 5002 5124 6718 6888 7503 10004 10077 10248 13436 15006 17507 20008 20154 23513 26872 30012 35014 40308 47026 52521 60024 70028 70539 80616 94052 105042 137719 140056 141078 188104 204899 210084 275438 282156 409798 413157 420168 550876 564312 614697 819596 826314 964033 1101752 1229394 1434293 1639192 1652628 1928066 2458788 2868586 2892099 3305256 3856132 4302879 4917576 5737172 5784198 7712264 8400859 8605758 11474344 11568396 16801718 17211516 23136792 25202577 33603436 34423032 50405154 58806013 67206872 100810308 117612026 176418039 201620616 235224052 352836078 470448104 705672156 1411344312