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141033035052 = 223271361370229
BaseRepresentation
bin1000001101011000111…
…0010101010100101100
3111111000211112111102200
42003112032111110230
54302313424110202
6144442323221500
713121634006210
oct2032616252454
9444024474380
10141033035052
11548a2520718
12233bb817890
13103b78c7740
146b7c8d8940
153a0677ae1c
hex20d639552c

141033035052 has 144 divisors (see below), whose sum is σ = 439491474240. Its totient is φ = 37134319104.

The previous prime is 141033035041. The next prime is 141033035057. The reversal of 141033035052 is 250530330141.

It is not an unprimeable number, because it can be changed into a prime (141033035057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1973074 + ... + 2043302.

Almost surely, 2141033035052 is an apocalyptic number.

141033035052 is a gapful number since it is divisible by the number (12) 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 141033035052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219745737120).

141033035052 is an abundant number, since it is smaller than the sum of its proper divisors (298458439188).

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

141033035052 is a wasteful number, since it uses less digits than its factorization.

141033035052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70872 (or 70867 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 141033035052 its reverse (250530330141), we get a palindrome (391563365193).

The spelling of 141033035052 in words is "one hundred forty-one billion, thirty-three million, thirty-five thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 613 819 1092 1226 1638 1839 2452 3276 3678 4291 5517 7356 7969 8582 11034 12873 15938 17164 22068 23907 25746 31876 38619 47814 51492 55783 70229 71721 77238 95628 111566 140458 143442 154476 167349 210687 223132 280916 286884 334698 421374 491603 502047 632061 669396 842748 912977 983206 1004094 1264122 1474809 1825954 1966412 2008188 2528244 2738931 2949618 3651908 4424427 5477862 5899236 6390839 8216793 8848854 10955724 12781678 16433586 17697708 19172517 25563356 32867172 38345034 43050377 57517551 76690068 86100754 115035102 129151131 172201508 230070204 258302262 301352639 387453393 516604524 559654901 602705278 774906786 904057917 1119309802 1205410556 1549813572 1678964703 1808115834 2238619604 2712173751 3357929406 3616231668 3917584307 5036894109 5424347502 6715858812 7835168614 10073788218 10848695004 11752752921 15670337228 20147576436 23505505842 35258258763 47011011684 70516517526 141033035052