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1144400004 = 22321179157233
BaseRepresentation
bin100010000110110…
…0010100010000100
32221202101112200100
41010031202202010
54320431300004
6305320244100
740234145106
oct10415424204
92852345610
101144400004
11537a90730
1227b310630
13153128187
14abdb9576
156a706739
hex44362884

1144400004 has 144 divisors (see below), whose sum is σ = 3229873920. Its totient is φ = 338757120.

The previous prime is 1144399987. The next prime is 1144400011. The reversal of 1144400004 is 4000044411.

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 1144400004.

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, 4911472 + ... + 4911704.

It is an arithmetic number, because the mean of its divisors is an integer number (22429680).

Almost surely, 21144400004 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 1144400004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614936960).

1144400004 is an abundant number, since it is smaller than the sum of its proper divisors (2085473916).

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

1144400004 is a wasteful number, since it uses less digits than its factorization.

1144400004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1144400004 is about 33828.9817168652. The cubic root of 1144400004 is about 1045.9861889725.

Adding to 1144400004 its reverse (4000044411), we get a palindrome (5144444415).

The spelling of 1144400004 in words is "one billion, one hundred forty-four million, four hundred thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 79 99 132 157 158 198 233 237 314 316 396 466 471 474 628 699 711 869 932 942 948 1398 1413 1422 1727 1738 1884 2097 2563 2607 2796 2826 2844 3454 3476 4194 5126 5181 5214 5652 6908 7689 7821 8388 10252 10362 10428 12403 15378 15543 15642 18407 20724 23067 24806 30756 31086 31284 36581 36814 37209 46134 49612 55221 62172 73162 73628 74418 92268 109743 110442 111627 136433 146324 148836 165663 202477 219486 220884 223254 272866 329229 331326 402391 404954 409299 438972 446508 545732 607431 658458 662652 804782 809908 818598 1207173 1214862 1227897 1316916 1609564 1637196 1822293 2414346 2429724 2455794 2889899 3621519 3644586 4828692 4911588 5779798 7243038 7289172 8669697 11559596 14486076 17339394 26009091 31788889 34678788 52018182 63577778 95366667 104036364 127155556 190733334 286100001 381466668 572200002 1144400004