Search a number
-
+
1144300014 = 2331113211399
BaseRepresentation
bin100010000110100…
…1010000111101110
32221202012110112000
41010031022013232
54320420100024
6305314153130
740233250434
oct10415120756
92852173460
101144300014
11537a225a0
1227b2827a6
131530c1800
14abd90d54
156a6d6cc9
hex4434a1ee

1144300014 has 96 divisors (see below), whose sum is σ = 3004128000. Its totient is φ = 320055840.

The previous prime is 1144299991. The next prime is 1144300057. The reversal of 1144300014 is 4100034411.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1144300014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94687 + ... + 106085.

It is an arithmetic number, because the mean of its divisors is an integer number (31293000).

Almost surely, 21144300014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1144300014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502064000).

1144300014 is an abundant number, since it is smaller than the sum of its proper divisors (1859827986).

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

1144300014 is a wasteful number, since it uses less digits than its factorization.

1144300014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11447 (or 11428 counting only the distinct ones).

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

The square root of 1144300014 is about 33827.5038097699. The cubic root of 1144300014 is about 1045.9557243317.

Adding to 1144300014 its reverse (4100034411), we get a palindrome (5244334425).

The spelling of 1144300014 in words is "one billion, one hundred forty-four million, three hundred thousand, fourteen".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 99 117 143 169 198 234 286 297 338 351 429 507 594 702 858 1014 1287 1521 1859 2574 3042 3718 3861 4563 5577 7722 9126 11154 11399 16731 22798 33462 34197 50193 68394 100386 102591 125389 148187 205182 250778 296374 307773 376167 444561 615546 752334 889122 1128501 1333683 1630057 1926431 2257002 2667366 3260114 3385503 3852862 4001049 4890171 5779293 6771006 8002098 9780342 11558586 14670513 17337879 21190741 29341026 34675758 42381482 44011539 52013637 63572223 88023078 104027274 127144446 190716669 381433338 572150007 1144300014