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1434233102112 = 253233785917203
BaseRepresentation
bin10100110111101110111…
…101000101111100100000
312002010000011121120021200
4110313232331011330200
5141444302133231422
63014513320521200
7205422430135326
oct24675675057440
95063004546250
101434233102112
11503289217618
121b1b69920200
13a532ac97905
144d5bad25d16
15274937062ac
hex14deef45f20

1434233102112 has 144 divisors (see below), whose sum is σ = 4095703291680. Its totient is φ = 476076496896.

The previous prime is 1434233102101. The next prime is 1434233102123. The reversal of 1434233102112 is 2112013324341.

1434233102112 is a `hidden beast` number, since 1 + 4 + 342 + 3 + 310 + 2 + 1 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1434233102101) and next prime (1434233102123).

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83362503 + ... + 83379705.

It is an arithmetic number, because the mean of its divisors is an integer number (28442383970).

Almost surely, 21434233102112 is an apocalyptic number.

1434233102112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1434233102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2047851645840).

1434233102112 is an abundant number, since it is smaller than the sum of its proper divisors (2661470189568).

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

1434233102112 is a wasteful number, since it uses less digits than its factorization.

1434233102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18415 (or 18404 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1434233102112 its reverse (2112013324341), we get a palindrome (3546246426453).

The spelling of 1434233102112 in words is "one trillion, four hundred thirty-four billion, two hundred thirty-three million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 337 674 859 1011 1348 1718 2022 2577 2696 3033 3436 4044 5154 5392 6066 6872 7731 8088 10308 10784 12132 13744 15462 16176 17203 20616 24264 27488 30924 32352 34406 41232 48528 51609 61848 68812 82464 97056 103218 123696 137624 154827 206436 247392 275248 289483 309654 412872 550496 578966 619308 825744 868449 1157932 1238616 1651488 1736898 2315864 2477232 2605347 3473796 4631728 4954464 5210694 5797411 6947592 9263456 10421388 11594822 13895184 14777377 17392233 20842776 23189644 27790368 29554754 34784466 41685552 44332131 46379288 52176699 59109508 69568932 83371104 88664262 92758576 104353398 118219016 132996393 139137864 177328524 185517152 208706796 236438032 265992786 278275728 354657048 417413592 472876064 531985572 556551456 709314096 834827184 1063971144 1418628192 1669654368 2127942288 4255884576 4979976049 9959952098 14939928147 19919904196 29879856294 39839808392 44819784441 59759712588 79679616784 89639568882 119519425176 159359233568 179279137764 239038850352 358558275528 478077700704 717116551056 1434233102112