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141421644 = 22327313881
BaseRepresentation
bin10000110110111…
…10110001001100
3100212002222000200
420123132301030
5242200443034
622011053500
73335031000
oct1033366114
9325088020
10141421644
11729131a1
123b441290
13233b7460
1414ad4700
15c637a99
hex86dec4c

141421644 has 144 divisors (see below), whose sum is σ = 449467200. Its totient is φ = 37255680.

The previous prime is 141421627. The next prime is 141421663. The reversal of 141421644 is 446124141.

141421644 is a `hidden beast` number, since 1 + 4 + 14 + 2 + 1 + 644 = 666.

141421644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1414216443 (a number of 25 digits) contains 333 as substring.

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

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, 160084 + ... + 160964.

It is an arithmetic number, because the mean of its divisors is an integer number (3121300).

Almost surely, 2141421644 is an apocalyptic number.

141421644 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 141421644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224733600).

141421644 is an abundant number, since it is smaller than the sum of its proper divisors (308045556).

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

141421644 is a wasteful number, since it uses less digits than its factorization.

141421644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 906 counting only the distinct ones).

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

The square root of 141421644 is about 11892.0832489518. The cubic root of 141421644 is about 521.0010843341.

Adding to 141421644 its reverse (446124141), we get a palindrome (587545785).

The spelling of 141421644 in words is "one hundred forty-one million, four hundred twenty-one thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 49 52 63 78 84 91 98 117 126 147 156 182 196 234 252 273 294 343 364 441 468 546 588 637 686 819 881 882 1029 1092 1274 1372 1638 1762 1764 1911 2058 2548 2643 3087 3276 3524 3822 4116 4459 5286 5733 6167 6174 7644 7929 8918 10572 11453 11466 12334 12348 13377 15858 17836 18501 22906 22932 24668 26754 31716 34359 37002 40131 43169 45812 53508 55503 68718 74004 80171 80262 86338 103077 111006 129507 137436 160342 160524 172676 206154 222012 240513 259014 302183 320684 388521 412308 481026 518028 561197 604366 721539 777042 906549 962052 1122394 1208732 1443078 1554084 1683591 1813098 2244788 2719647 2886156 3367182 3626196 3928379 5050773 5439294 6734364 7856758 10101546 10878588 11785137 15713516 20203092 23570274 35355411 47140548 70710822 141421644