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142202643552 = 253520299013
BaseRepresentation
bin1000010001101111110…
…0000010010001100000
3111121001100100202200000
42010123330002101200
54312212334043202
6145154344100000
713162625345424
oct2043374022140
9447040322600
10142202643552
1155342759912
1223687464600
131054300a988
146c4dd96b84
153a742b191c
hex211bf02460

142202643552 has 144 divisors (see below), whose sum is σ = 419619367440. Its totient is φ = 47372262912.

The previous prime is 142202643547. The next prime is 142202643563. The reversal of 142202643552 is 255346202241.

142202643552 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 0 + 2 + 643 + 5 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15772998 + ... + 15782010.

It is an arithmetic number, because the mean of its divisors is an integer number (2914023385).

Almost surely, 2142202643552 is an apocalyptic number.

142202643552 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 142202643552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209809683720).

142202643552 is an abundant number, since it is smaller than the sum of its proper divisors (277416723888).

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

142202643552 is an equidigital number, since it uses as much as digits as its factorization.

142202643552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11067 (or 11047 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 142202643552 its reverse (255346202241), we get a palindrome (397548845793).

The spelling of 142202643552 in words is "one hundred forty-two billion, two hundred two million, six hundred forty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2029 2592 3888 4058 6087 7776 8116 9013 12174 16232 18026 18261 24348 27039 32464 36052 36522 48696 54078 54783 64928 72104 73044 81117 97392 108156 109566 144208 146088 162234 164349 194784 216312 219132 243351 288416 292176 324468 328698 432624 438264 486702 493047 584352 648936 657396 730053 865248 876528 973404 986094 1297872 1314792 1460106 1753056 1946808 1972188 2190159 2595744 2629584 2920212 3893616 3944376 4380318 5259168 5840424 7787232 7888752 8760636 11680848 15777504 17521272 18287377 23361696 35042544 36574754 54862131 70085088 73149508 109724262 146299016 164586393 219448524 292598032 329172786 438897048 493759179 585196064 658345572 877794096 987518358 1316691144 1481277537 1755588192 1975036716 2633382288 2962555074 3950073432 4443832611 5266764576 5925110148 7900146864 8887665222 11850220296 15800293728 17775330444 23700440592 35550660888 47400881184 71101321776 142202643552