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141300544 = 2671153541
BaseRepresentation
bin10000110110000…
…01001101000000
3100211212210220111
420123001031000
5242133104134
622004321104
73334014640
oct1033011500
9324783814
10141300544
1172840210
123b3a3194
13233742b8
1414aa2520
15c611c64
hex86c1340

141300544 has 112 divisors (see below), whose sum is σ = 356835456. Its totient is φ = 53913600.

The previous prime is 141300541. The next prime is 141300553. The reversal of 141300544 is 445003141.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141300541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260914 + ... + 261454.

Almost surely, 2141300544 is an apocalyptic number.

141300544 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 141300544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178417728).

141300544 is an abundant number, since it is smaller than the sum of its proper divisors (215534912).

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

141300544 is a wasteful number, since it uses less digits than its factorization.

141300544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 141300544 is about 11886.9905358758. The cubic root of 141300544 is about 520.8523299965.

Adding to 141300544 its reverse (445003141), we get a palindrome (586303685).

The spelling of 141300544 in words is "one hundred forty-one million, three hundred thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 53 56 64 77 88 106 112 154 176 212 224 308 352 371 424 448 541 583 616 704 742 848 1082 1166 1232 1484 1696 2164 2332 2464 2968 3392 3787 4081 4328 4664 4928 5936 5951 7574 8162 8656 9328 11872 11902 15148 16324 17312 18656 23744 23804 28673 30296 32648 34624 37312 41657 47608 57346 60592 65296 83314 95216 114692 121184 130592 166628 190432 200711 229384 242368 261184 315403 333256 380864 401422 458768 630806 666512 802844 917536 1261612 1333024 1605688 1835072 2207821 2523224 2666048 3211376 4415642 5046448 6422752 8831284 10092896 12845504 17662568 20185792 35325136 70650272 141300544