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1434416510709 = 327213242594519
BaseRepresentation
bin10100110111111001111…
…000101111011011110101
312002010110221201200120200
4110313321320233123311
5142000141111320314
63014543431551113
7205430115111300
oct24677170573365
95063427650520
101434416510709
115033727a8176
121b1bbb22b499
13a5359c93100
144d5d7429b37
15274a4884709
hex14df9e2f6f5

1434416510709 has 108 divisors (see below), whose sum is σ = 2611062885600. Its totient is φ = 756270260928.

The previous prime is 1434416510707. The next prime is 1434416510833. The reversal of 1434416510709 is 9070156144341.

1434416510709 is a `hidden beast` number, since 1 + 43 + 441 + 65 + 107 + 0 + 9 = 666.

It is not a de Polignac number, because 1434416510709 - 21 = 1434416510707 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1434416510707) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 317416752 + ... + 317421270.

It is an arithmetic number, because the mean of its divisors is an integer number (24176508200).

Almost surely, 21434416510709 is an apocalyptic number.

It is an amenable number.

1434416510709 is a deficient number, since it is larger than the sum of its proper divisors (1176646374891).

1434416510709 is a wasteful number, since it uses less digits than its factorization.

1434416510709 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8824 (or 8801 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 1434416510709 in words is "one trillion, four hundred thirty-four billion, four hundred sixteen million, five hundred ten thousand, seven hundred nine".

Divisors: 1 3 7 9 13 21 39 49 63 91 117 147 169 273 441 507 637 819 1183 1521 1911 3549 4259 4519 5733 8281 10647 12777 13557 24843 29813 31633 38331 40671 55367 58747 74529 89439 94899 166101 176241 208691 221431 268317 284697 387569 411229 498303 528723 626073 664293 719771 763711 1162707 1233687 1878219 1992879 2159313 2291133 2712983 2878603 3488121 3701061 5038397 5345977 6477939 6873399 8138949 8635809 15115191 16037931 19246421 24416847 25907427 35268779 37421839 45345573 48113793 57739263 105806337 112265517 134724947 173217789 250203473 317419011 336796551 404174841 750610419 943074629 1212524523 1751424311 2251831257 2829223887 3252645149 5254272933 8487671661 9757935447 12259970177 15762818799 22768516043 29273806341 36779910531 68305548129 110339731593 159379612301 204916644387 478138836903 1434416510709