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1434159534096 = 243223243392
BaseRepresentation
bin10100110111101010100…
…100011101000000010000
312002002211001011220221100
4110313222210131000100
5141444124320042341
63014502132024400
7205420544621322
oct24675244350020
95062731156840
101434159534096
11503250739903
121b1b49162100
13a531897a043
144d5b1255612
152748c0233b6
hex14dea91d010

1434159534096 has 135 divisors (see below), whose sum is σ = 4196715995199. Its totient is φ = 457162871616.

The previous prime is 1434159534083. The next prime is 1434159534133. The reversal of 1434159534096 is 6904359514341.

The square root of 1434159534096 is 1197564.

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

1434159534096 is a `hidden beast` number, since 1 + 4 + 3 + 4 + 1 + 595 + 3 + 40 + 9 + 6 = 666.

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 26 ways as a sum of consecutive naturals, for example, 330525495 + ... + 330529833.

Almost surely, 21434159534096 is an apocalyptic number.

1434159534096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1434159534096 is the 1197564-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1434159534096

1434159534096 is an abundant number, since it is smaller than the sum of its proper divisors (2762556461103).

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

1434159534096 is an frugal number, since it uses more digits than its factorization.

1434159534096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8738 (or 4367 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 1434159534096 in words is "one trillion, four hundred thirty-four billion, one hundred fifty-nine million, five hundred thirty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 529 552 828 1058 1104 1587 1656 2116 3174 3312 4232 4339 4761 6348 8464 8678 9522 12696 13017 17356 19044 25392 26034 34712 38088 39051 52068 69424 76176 78102 99797 104136 156204 199594 208272 299391 312408 399188 598782 624816 798376 898173 1197564 1596752 1796346 2295331 2395128 3592692 4590662 4790256 6885993 7185384 9181324 13771986 14370768 18362648 18826921 20657979 27543972 36725296 37653842 41315958 55087944 56480763 75307684 82631916 110175888 112961526 150615368 165263832 169442289 225923052 301230736 330527664 338884578 433019183 451846104 677769156 866038366 903692208 1299057549 1355538312 1732076732 2598115098 2711076624 3464153464 3897172647 5196230196 6928306928 7794345294 9959441209 10392460392 15588690588 19918882418 20784920784 29878323627 31177381176 39837764836 59756647254 62354762352 79675529672 89634970881 119513294508 159351059344 179269941762 239026589016 358539883524 478053178032 717079767048 1434159534096