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1429198731081 = 3211217221312
BaseRepresentation
bin10100110011000010111…
…000011111011101001001
312001122000022120000112100
4110303002320133131021
5141403444333343311
63012322000504013
7205153606525632
oct24630270373511
95048008500470
101429198731081
11501135474100
121b0ba391b009
13a4a07c93644
144d260478889
152729b760a56
hex14cc2e1f749

1429198731081 has 81 divisors (see below), whose sum is σ = 2411593554279. Its totient is φ = 814846665600.

The previous prime is 1429198731071. The next prime is 1429198731119. The reversal of 1429198731081 is 1801378919241.

The square root of 1429198731081 is 1195491.

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., 1112697974025 + 316500757056 = 1054845^2 + 562584^2 .

It is not a de Polignac number, because 1429198731081 - 29 = 1429198730569 is a prime.

It is a super-2 number, since 2×14291987310812 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1429198731041) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 670669386 + ... + 670671516.

Almost surely, 21429198731081 is an apocalyptic number.

1429198731081 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1429198731081 is the 1195491-st square number.

1429198731081 is the 597746-th centered octagonal number.

It is an amenable number.

1429198731081 is a deficient number, since it is larger than the sum of its proper divisors (982394823198).

1429198731081 is an equidigital number, since it uses as much as digits as its factorization.

1429198731081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4324 (or 2162 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 54.

The spelling of 1429198731081 in words is "one trillion, four hundred twenty-nine billion, one hundred ninety-eight million, seven hundred thirty-one thousand, eighty-one".

Divisors: 1 3 9 11 17 33 51 99 121 153 187 289 363 561 867 1089 1683 2057 2131 2601 3179 6171 6393 9537 18513 19179 23441 28611 34969 36227 70323 104907 108681 210969 257851 314721 326043 398497 615859 773553 1195491 1847577 2320659 3586473 4383467 4541161 5542731 6774449 13150401 13623483 20323347 39451203 40870449 49952771 60970041 74518939 77199737 149858313 223556817 231599211 449574939 549480481 670670451 694797633 849197107 1312395529 1648441443 2547591321 3937186587 4945324329 7642773963 9341168177 11811559761 14436350819 28023504531 43309052457 84070513593 129927157371 158799859009 476399577027 1429198731081