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141621144 = 23373171383
BaseRepresentation
bin10000111000011…
…11011110011000
3100212111002200120
420130033132120
5242223334034
622015233240
73336521430
oct1034173630
9325432616
10141621144
1172a3a075
123b518820
13234571c2
1414b472c0
15c676c49
hex870f798

141621144 has 128 divisors (see below), whose sum is σ = 424673280. Its totient is φ = 38505600.

The previous prime is 141621131. The next prime is 141621173. The reversal of 141621144 is 441126141.

141621144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 369577 + ... + 369959.

It is an arithmetic number, because the mean of its divisors is an integer number (3317760).

Almost surely, 2141621144 is an apocalyptic number.

141621144 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 141621144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212336640).

141621144 is an abundant number, since it is smaller than the sum of its proper divisors (283052136).

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

141621144 is a wasteful number, since it uses less digits than its factorization.

141621144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 497 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 141621144 is about 11900.4682260825. The cubic root of 141621144 is about 521.2459569872.

Adding to 141621144 its reverse (441126141), we get a palindrome (582747285).

The spelling of 141621144 in words is "one hundred forty-one million, six hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 71 84 93 124 142 168 186 213 217 248 284 372 383 426 434 497 568 651 744 766 852 868 994 1149 1302 1491 1532 1704 1736 1988 2201 2298 2604 2681 2982 3064 3976 4402 4596 5208 5362 5964 6603 8043 8804 9192 10724 11873 11928 13206 15407 16086 17608 21448 23746 26412 27193 30814 32172 35619 46221 47492 52824 54386 61628 64344 71238 81579 83111 92442 94984 108772 123256 142476 163158 166222 184884 190351 217544 249333 284952 326316 332444 369768 380702 498666 571053 652632 664888 761404 842983 997332 1142106 1522808 1685966 1994664 2284212 2528949 3371932 4568424 5057898 5900881 6743864 10115796 11801762 17702643 20231592 23603524 35405286 47207048 70810572 141621144