Search a number
-
+
1445114034 = 234713611607
BaseRepresentation
bin101011000100010…
…1011000010110010
310201201020101210000
41112020223002302
510424422122114
6355221450430
750545160310
oct12610530262
93651211700
101445114034
11681802621
12343b70a16
131a0515c80
14d9cd70b0
1586d06e09
hex5622b0b2

1445114034 has 160 divisors (see below), whose sum is σ = 4053240576. Its totient is φ = 374647680.

The previous prime is 1445114017. The next prime is 1445114071. The reversal of 1445114034 is 4304115441.

1445114034 is a `hidden beast` number, since 144 + 511 + 4 + 0 + 3 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1445113989 and 1445114007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 898459 + ... + 900065.

Almost surely, 21445114034 is an apocalyptic number.

1445114034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1445114034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2026620288).

1445114034 is an abundant number, since it is smaller than the sum of its proper divisors (2608126542).

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

1445114034 is a wasteful number, since it uses less digits than its factorization.

1445114034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702 (or 1693 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1445114034 is about 38014.6555159980. The cubic root of 1445114034 is about 1130.5784581058.

Adding to 1445114034 its reverse (4304115441), we get a palindrome (5749229475).

The spelling of 1445114034 in words is "one billion, four hundred forty-five million, one hundred fourteen thousand, thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 61 63 78 81 91 117 122 126 162 182 183 189 234 273 351 366 378 427 546 549 567 702 793 819 854 1053 1098 1134 1281 1586 1607 1638 1647 2106 2379 2457 2562 3214 3294 3843 4758 4821 4914 4941 5551 7137 7371 7686 9642 9882 11102 11249 11529 14274 14463 14742 16653 20891 21411 22498 23058 28926 33306 33747 34587 41782 42822 43389 49959 62673 64233 67494 69174 86778 98027 99918 101241 125346 128466 130167 146237 149877 188019 196054 202482 260334 292474 294081 299754 303723 376038 438711 449631 564057 588162 607446 686189 877422 882243 899262 911169 1128114 1274351 1316133 1372378 1692171 1764486 1822338 2058567 2548702 2632266 2646729 3384342 3823053 3948399 4117134 5293458 6175701 7646106 7896798 7940187 8920457 11469159 11845197 12351402 15880374 17840914 18527103 22938318 23690394 26761371 34407477 37054206 53522742 55581309 68814954 80284113 103222431 111162618 160568226 206444862 240852339 481704678 722557017 1445114034