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1031414000442 = 237373312005183
BaseRepresentation
bin11110000001001010001…
…00001010101100111010
310122121021000101222210220
433000211010022230322
5113344313441003232
62105454113320510
7134342254231110
oct17004504125472
93577230358726
101031414000442
11368469350431
12147a8a566136
13763535a1a97
1437cc65a9ab0
151bc6959d42c
hexf02510ab3a

1031414000442 has 64 divisors (see below), whose sum is σ = 2428550529024. Its totient is φ = 285858745920.

The previous prime is 1031414000399. The next prime is 1031414000509. The reversal of 1031414000442 is 2440004141301.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 488218 + ... + 1516965.

It is an arithmetic number, because the mean of its divisors is an integer number (37946102016).

Almost surely, 21031414000442 is an apocalyptic number.

1031414000442 is an abundant number, since it is smaller than the sum of its proper divisors (1397136528582).

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

1031414000442 is a wasteful number, since it uses less digits than its factorization.

1031414000442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2005563.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1031414000442 its reverse (2440004141301), we get a palindrome (3471418141743).

The spelling of 1031414000442 in words is "one trillion, thirty-one billion, four hundred fourteen million, four hundred forty-two", and thus it is an aban number.

Divisors: 1 2 3 6 7 14 21 37 42 74 111 222 259 331 518 662 777 993 1554 1986 2317 4634 6951 12247 13902 24494 36741 73482 85729 171458 257187 514374 2005183 4010366 6015549 12031098 14036281 28072562 42108843 74191771 84217686 148383542 222575313 445150626 519342397 663715573 1038684794 1327431146 1558027191 1991146719 3116054382 3982293438 4646009011 9292018022 13938027033 24557476201 27876054066 49114952402 73672428603 147344857206 171902333407 343804666814 515707000221 1031414000442