Search a number
-
+
1314743248 = 2471361113131
BaseRepresentation
bin100111001011101…
…0110001111010000
310101121220212200101
41032113112033100
510143033240443
6334243302144
744403063460
oct11627261720
93347825611
101314743248
11615158075
1230837a954
1317c4ca7b0
14c687bba0
157a65384d
hex4e5d63d0

1314743248 has 160 divisors (see below), whose sum is σ = 3239292672. Its totient is φ = 503193600.

The previous prime is 1314743233. The next prime is 1314743249. The reversal of 1314743248 is 8423474131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314743249) 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, 10036143 + ... + 10036273.

Almost surely, 21314743248 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 1314743248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619646336).

1314743248 is an abundant number, since it is smaller than the sum of its proper divisors (1924549424).

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

1314743248 is a wasteful number, since it uses less digits than its factorization.

1314743248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 327 counting only the distinct ones).

The product of its digits is 64512, while the sum is 37.

The square root of 1314743248 is about 36259.3884118307. The cubic root of 1314743248 is about 1095.5031980382.

The spelling of 1314743248 in words is "one billion, three hundred fourteen million, seven hundred forty-three thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 61 91 104 112 113 122 131 182 208 226 244 262 364 427 452 488 524 728 791 793 854 904 917 976 1048 1456 1469 1582 1586 1703 1708 1808 1834 2096 2938 3164 3172 3406 3416 3668 5551 5876 6328 6344 6812 6832 6893 7336 7991 10283 11102 11752 11921 12656 12688 13624 13786 14672 14803 15982 20566 22204 23504 23842 27248 27572 29606 31964 41132 44408 47684 48251 55144 55937 59212 63928 82264 88816 89609 95368 96502 103621 103883 110288 111874 118424 127856 164528 179218 190736 192439 193004 207242 207766 223748 236848 358436 384878 386008 414484 415532 447496 627263 716872 727181 769756 772016 828968 831064 894992 902983 1254526 1347073 1433744 1454362 1539512 1657936 1662128 1805966 2509052 2694146 2908724 3079024 3611932 5018104 5388292 5817448 6320881 7223864 10036208 10776584 11634896 11738779 12641762 14447728 21553168 23477558 25283524 46955116 50567048 82171453 93910232 101134096 164342906 187820464 328685812 657371624 1314743248