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141141440 = 26511101397
BaseRepresentation
bin10000110100110…
…10010111000000
3100211120201122202
420122122113000
5242113011230
622001052332
73332453036
oct1032322700
9324521582
10141141440
1172741720
123b3270a8
1323319a5b
1414a60556
15c5cea45
hex869a5c0

141141440 has 112 divisors (see below), whose sum is σ = 371209824. Its totient is φ = 50688000.

The previous prime is 141141433. The next prime is 141141457. The reversal of 141141440 is 44141141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 355322 + ... + 355718.

Almost surely, 2141141440 is an apocalyptic number.

141141440 is a gapful number since it is divisible by the number (10) 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 141141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185604912).

141141440 is an abundant number, since it is smaller than the sum of its proper divisors (230068384).

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

141141440 is a wasteful number, since it uses less digits than its factorization.

141141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 141141440 is about 11880.2962926015. The cubic root of 141141440 is about 520.6567638416.

Adding to 141141440 its reverse (44141141), we get a palindrome (185282581).

The spelling of 141141440 in words is "one hundred forty-one million, one hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 101 110 160 176 202 220 320 352 397 404 440 505 704 794 808 880 1010 1111 1588 1616 1760 1985 2020 2222 3176 3232 3520 3970 4040 4367 4444 5555 6352 6464 7940 8080 8734 8888 11110 12704 15880 16160 17468 17776 21835 22220 25408 31760 32320 34936 35552 40097 43670 44440 63520 69872 71104 80194 87340 88880 127040 139744 160388 174680 177760 200485 279488 320776 349360 355520 400970 441067 641552 698720 801940 882134 1283104 1397440 1603880 1764268 2205335 2566208 3207760 3528536 4410670 6415520 7057072 8821340 12831040 14114144 17642680 28228288 35285360 70570720 141141440