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1429679945280 = 26354731686169
BaseRepresentation
bin10100110011011111100…
…100001011011001000000
312001200020212001020022110
4110303133210023121000
5141410441031222110
63012441430535320
7205201542011526
oct24633744133100
95050225036273
101429679945280
1150136206a494
121b10b8b07540
13a4a8389bb82
144d2a8340316
15272c8b17a20
hex14cdf90b640

1429679945280 has 112 divisors (see below), whose sum is σ = 4635813415680. Its totient is φ = 373136314368.

The previous prime is 1429679945279. The next prime is 1429679945299. The reversal of 1429679945280 is 825499769241.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15797965 + ... + 15888204.

Almost surely, 21429679945280 is an apocalyptic number.

1429679945280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1429679945280 is an abundant number, since it is smaller than the sum of its proper divisors (3206133470400).

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

1429679945280 is a wasteful number, since it uses less digits than its factorization.

1429679945280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31686236 (or 31686226 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 66.

The spelling of 1429679945280 in words is "one trillion, four hundred twenty-nine billion, six hundred seventy-nine million, nine hundred forty-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 64 80 94 96 120 141 160 188 192 235 240 282 320 376 470 480 564 705 752 940 960 1128 1410 1504 1880 2256 2820 3008 3760 4512 5640 7520 9024 11280 15040 22560 45120 31686169 63372338 95058507 126744676 158430845 190117014 253489352 316861690 380234028 475292535 506978704 633723380 760468056 950585070 1013957408 1267446760 1489249943 1520936112 1901170140 2027914816 2534893520 2978499886 3041872224 3802340280 4467749829 5069787040 5956999772 6083744448 7446249715 7604680560 8935499658 10139574080 11913999544 14892499430 15209361120 17870999316 22338749145 23827999088 29784998860 30418722240 35741998632 44677498290 47655998176 59569997720 71483997264 89354996580 95311996352 119139995440 142967994528 178709993160 238279990880 285935989056 357419986320 476559981760 714839972640 1429679945280