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1144002444 = 2231343199857
BaseRepresentation
bin100010000110000…
…0001011110001100
32221201122100022220
41010030001132030
54320331034234
6305303535340
740230601044
oct10414013614
92851570286
101144002444
11537839a72
1227b15a550
13153019230
14abd14724
156a678a49
hex4430178c

1144002444 has 96 divisors (see below), whose sum is σ = 2959756800. Its totient is φ = 341687808.

The previous prime is 1144002413. The next prime is 1144002449. The reversal of 1144002444 is 4442004411.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1144002449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1334464 + ... + 1335320.

It is an arithmetic number, because the mean of its divisors is an integer number (30830800).

Almost surely, 21144002444 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 1144002444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479878400).

1144002444 is an abundant number, since it is smaller than the sum of its proper divisors (1815754356).

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

1144002444 is a wasteful number, since it uses less digits than its factorization.

1144002444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 1144002444 is about 33823.1051797436. The cubic root of 1144002444 is about 1045.8650511328.

Adding to 1144002444 its reverse (4442004411), we get a palindrome (5586006855).

The spelling of 1144002444 in words is "one billion, one hundred forty-four million, two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 43 52 78 86 129 156 172 199 258 398 516 559 597 796 857 1118 1194 1677 1714 2236 2388 2571 2587 3354 3428 5142 5174 6708 7761 8557 10284 10348 11141 15522 17114 22282 25671 31044 33423 34228 36851 44564 51342 66846 73702 102684 110553 111241 133692 147404 170543 221106 222482 333723 341086 442212 444964 479063 511629 667446 682172 958126 1023258 1334892 1437189 1916252 2046516 2217059 2874378 4434118 5748756 6651177 7333349 8868236 13302354 14666698 22000047 26604708 29333396 44000094 88000188 95333537 190667074 286000611 381334148 572001222 1144002444