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1412149248 = 212331132
BaseRepresentation
bin101010000101011…
…1011000000000000
310122102012121121000
41110022323000000
510343002233443
6352043132000
746665033126
oct12412730000
93572177530
101412149248
116651376a4
12334b14000
13196743693
14d5795916
1583e948d3
hex542bb000

1412149248 has 156 divisors (see below), whose sum is σ = 4220986120. Its totient is φ = 466550784.

The previous prime is 1412149243. The next prime is 1412149313. The reversal of 1412149248 is 8429412141.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1412149248 is a `hidden beast` number, since 1 + 4 + 121 + 492 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (1412149243) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12496840 + ... + 12496952.

Almost surely, 21412149248 is an apocalyptic number.

1412149248 is a gapful number since it is divisible by the number (18) 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 1412149248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2110493060).

1412149248 is an abundant number, since it is smaller than the sum of its proper divisors (2808836872).

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

1412149248 is an frugal number, since it uses more digits than its factorization.

1412149248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 118 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 1412149248 is about 37578.5743210144. The cubic root of 1412149248 is about 1121.9156332228.

The spelling of 1412149248 in words is "one billion, four hundred twelve million, one hundred forty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 113 128 144 192 216 226 256 288 339 384 432 452 512 576 678 768 864 904 1017 1024 1152 1356 1536 1728 1808 2034 2048 2304 2712 3051 3072 3456 3616 4068 4096 4608 5424 6102 6144 6912 7232 8136 9216 10848 12204 12288 12769 13824 14464 16272 18432 21696 24408 25538 27648 28928 32544 36864 38307 43392 48816 51076 55296 57856 65088 76614 86784 97632 102152 110592 114921 115712 130176 153228 173568 195264 204304 229842 231424 260352 306456 344763 347136 390528 408608 459684 462848 520704 612912 689526 694272 781056 817216 919368 1041408 1225824 1379052 1388544 1562112 1634432 1838736 2082816 2451648 2758104 3124224 3268864 3677472 4165632 4903296 5516208 6248448 6537728 7354944 9806592 11032416 12496896 13075456 14709888 19613184 22064832 26150912 29419776 39226368 44129664 52301824 58839552 78452736 88259328 117679104 156905472 176518656 235358208 353037312 470716416 706074624 1412149248