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1141143444 = 2233710714107
BaseRepresentation
bin100010000000100…
…0111011110010100
32221112021002112000
41010001013132110
54314113042234
6305122355300
740164362550
oct10401073624
92845232460
101141143444
11536166a61
1227a1bbb30
13152557b0c
14ab7ac860
156a2b1899
hex44047794

1141143444 has 96 divisors (see below), whose sum is σ = 3413007360. Its totient is φ = 322970976.

The previous prime is 1141143433. The next prime is 1141143463. The reversal of 1141143444 is 4443411411.

It is a super-2 number, since 2×11411434442 = 2604416719568362272, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73839 + ... + 87945.

It is an arithmetic number, because the mean of its divisors is an integer number (35552160).

Almost surely, 21141143444 is an apocalyptic number.

1141143444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1141143444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706503680).

1141143444 is an abundant number, since it is smaller than the sum of its proper divisors (2271863916).

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

1141143444 is a wasteful number, since it uses less digits than its factorization.

1141143444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14234 (or 14226 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 1141143444 is about 33780.8147326260. The cubic root of 1141143444 is about 1044.9930767305.

Adding to 1141143444 its reverse (4443411411), we get a palindrome (5584554855).

The spelling of 1141143444 in words is "one billion, one hundred forty-one million, one hundred forty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 107 108 126 189 214 252 321 378 428 642 749 756 963 1284 1498 1926 2247 2889 2996 3852 4494 5778 6741 8988 11556 13482 14107 20223 26964 28214 40446 42321 56428 80892 84642 98749 126963 169284 197498 253926 296247 380889 394996 507852 592494 761778 888741 1184988 1509449 1523556 1777482 2666223 3018898 3554964 4528347 5332446 6037796 9056694 10566143 10664892 13585041 18113388 21132286 27170082 31698429 40755123 42264572 54340164 63396858 81510246 95095287 126793716 163020492 190190574 285285861 380381148 570571722 1141143444