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142363460371456 = 21057126532
BaseRepresentation
bin100000010111101010010011…
…011111000000010000000000
3200200001210222022220022022101
4200113222103133000100000
5122124440331323341311
61222440512033120144
741662264156003642
oct4027522337002000
9620053868808271
10142363460371456
11413a8005a76705
1213b72baa9b9054
136158a8040370c
1427225dd176892
15116d3010aaec1
hex817a937c0400

142363460371456 has 99 divisors (see below), whose sum is σ = 285524418636093. Its totient is φ = 70948252323840.

The previous prime is 142363460371453. The next prime is 142363460371463. The reversal of 142363460371456 is 654173064363241.

It is a happy number.

The square root of 142363460371456 is 11931616.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 33127852262400 + 109235608109056 = 5755680^2 + 10451584^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 142363460371397 and 142363460371406.

It is not an unprimeable number, because it can be changed into a prime (142363460371453) 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 8 ways as a sum of consecutive naturals, for example, 218014487226 + ... + 218014487878.

Almost surely, 2142363460371456 is an apocalyptic number.

142363460371456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

142363460371456 is the 11931616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142363460371456

142363460371456 is an abundant number, since it is smaller than the sum of its proper divisors (143160958264637).

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

142363460371456 is an frugal number, since it uses more digits than its factorization.

142363460371456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2468 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 55.

The spelling of 142363460371456 in words is "one hundred forty-two trillion, three hundred sixty-three billion, four hundred sixty million, three hundred seventy-one thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 571 653 1024 1142 1306 2284 2612 4568 5224 9136 10448 18272 20896 36544 41792 73088 83584 146176 167168 292352 326041 334336 372863 426409 584704 652082 668672 745726 852818 1304164 1491452 1705636 2608328 2982904 3411272 5216656 5965808 6822544 10433312 11931616 13645088 20866624 23863232 27290176 41733248 47726464 54580352 83466496 95452928 109160704 166932992 190905856 212904773 218321408 243479539 333865984 381811712 425809546 436642816 486959078 851619092 973918156 1703238184 1947836312 3406476368 3895672624 6812952736 7791345248 13625905472 15582690496 27251810944 31165380992 54503621888 62330761984 109007243776 124661523968 139026816769 218014487552 249323047936 278053633538 556107267076 1112214534152 2224429068304 4448858136608 8897716273216 17795432546432 35590865092864 71181730185728 142363460371456