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1431004212 = 2233112514799
BaseRepresentation
bin101010101001011…
…0110010000110100
310200201200112202000
41111102312100310
510412314113322
6353555215300
750314222641
oct12522662064
93621615660
101431004212
11674845710
1233b2a7530
1319a615871
14d80a2dc8
158596b3ac
hex554b6434

1431004212 has 96 divisors (see below), whose sum is σ = 4064256000. Its totient is φ = 431820000.

The previous prime is 1431004163. The next prime is 1431004213. The reversal of 1431004212 is 2124001341.

1431004212 is a `hidden beast` number, since 143 + 100 + 421 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1431004213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295789 + ... + 300587.

It is an arithmetic number, because the mean of its divisors is an integer number (42336000).

Almost surely, 21431004212 is an apocalyptic number.

1431004212 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 1431004212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2032128000).

1431004212 is an abundant number, since it is smaller than the sum of its proper divisors (2633251788).

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

1431004212 is a wasteful number, since it uses less digits than its factorization.

1431004212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5074 (or 5066 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1431004212 is about 37828.6163109358. The cubic root of 1431004212 is about 1126.8868318890.

Adding to 1431004212 its reverse (2124001341), we get a palindrome (3555005553).

The spelling of 1431004212 in words is "one billion, four hundred thirty-one million, four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 251 297 396 502 594 753 1004 1188 1506 2259 2761 3012 4518 4799 5522 6777 8283 9036 9598 11044 13554 14397 16566 19196 24849 27108 28794 33132 43191 49698 52789 57588 74547 86382 99396 105578 129573 149094 158367 172764 211156 259146 298188 316734 475101 518292 633468 950202 1204549 1425303 1900404 2409098 2850606 3613647 4818196 5701212 7227294 10840941 13250039 14454588 21681882 26500078 32522823 39750117 43363764 53000156 65045646 79500234 119250351 130091292 159000468 238500702 357751053 477001404 715502106 1431004212