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1434400314102 = 232731093212561
BaseRepresentation
bin10100110111111000111…
…010111101001011110110
312002010102211020211000100
4110313320322331023312
5142000122440022402
63014542052454530
7205426530333000
oct24677072751366
95063384224010
101434400314102
11503364645448
121b1bb591a446
13a5356811c12
144d5d5211370
15274a323571c
hex14df8ebd2f6

1434400314102 has 96 divisors (see below), whose sum is σ = 3627668116800. Its totient is φ = 409451777280.

The previous prime is 1434400314019. The next prime is 1434400314107. The reversal of 1434400314102 is 2014130044341.

1434400314102 is a `hidden beast` number, since 1 + 4 + 344 + 0 + 0 + 314 + 1 + 0 + 2 = 666.

It is a super-2 number, since 2×14344003141022 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1434400314107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6641902 + ... + 6854462.

It is an arithmetic number, because the mean of its divisors is an integer number (37788209550).

Almost surely, 21434400314102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1434400314102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813834058400).

1434400314102 is an abundant number, since it is smaller than the sum of its proper divisors (2193267802698).

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

1434400314102 is a wasteful number, since it uses less digits than its factorization.

1434400314102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213683 (or 213666 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1434400314102 its reverse (2014130044341), we get a palindrome (3448530358443).

The spelling of 1434400314102 in words is "one trillion, four hundred thirty-four billion, four hundred million, three hundred fourteen thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 343 441 686 882 1029 1093 2058 2186 3087 3279 6174 6558 7651 9837 15302 19674 22953 45906 53557 68859 107114 137718 160671 212561 321342 374899 425122 482013 637683 749798 964026 1124697 1275366 1487927 1913049 2249394 2975854 3374091 3826098 4463781 6748182 8927562 10415489 13391343 20830978 26782686 31246467 62492934 72908423 93739401 145816846 187478802 218725269 232329173 437450538 464658346 656175807 696987519 1312351614 1393975038 1626304211 2090962557 3252608422 4181925114 4878912633 9757825266 11384129477 14636737899 22768258954 29273475798 34152388431 68304776862 79688906339 102457165293 159377812678 204914330586 239066719017 478133438034 717200157051 1434400314102