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1431742355352 = 2332192321978441
BaseRepresentation
bin10100110101011010011…
…111101001011110011000
312001212120120211112001200
4110311122133221132120
5141424202020332402
63013422223314200
7205303624136061
oct24653237513630
95055516745050
101431742355352
11502220263721
121b159374b960
13a5021c5816a
144d422203568
1527399c0721c
hex14d5a7e9798

1431742355352 has 144 divisors (see below), whose sum is σ = 4266905861400. Its totient is φ = 432471156480.

The previous prime is 1431742355347. The next prime is 1431742355431. The reversal of 1431742355352 is 2535532471341.

It is a happy number.

1431742355352 is a `hidden beast` number, since 1 + 4 + 3 + 1 + 7 + 42 + 3 + 553 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1431742355298 and 1431742355307.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 265549 + ... + 1712892.

Almost surely, 21431742355352 is an apocalyptic number.

1431742355352 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 1431742355352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2133452930700).

1431742355352 is an abundant number, since it is smaller than the sum of its proper divisors (2835163506048).

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

1431742355352 is a wasteful number, since it uses less digits than its factorization.

1431742355352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1978518 (or 1978488 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 45.

The spelling of 1431742355352 in words is "one trillion, four hundred thirty-one billion, seven hundred forty-two million, three hundred fifty-five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 23 24 36 38 46 57 69 72 76 92 114 138 152 171 184 207 228 276 342 414 437 456 529 552 684 828 874 1058 1311 1368 1587 1656 1748 2116 2622 3174 3496 3933 4232 4761 5244 6348 7866 9522 10051 10488 12696 15732 19044 20102 30153 31464 38088 40204 60306 80408 90459 120612 180918 241224 361836 723672 1978441 3956882 5935323 7913764 11870646 15827528 17805969 23741292 35611938 37590379 45504143 47482584 71223876 75180758 91008286 112771137 136512429 142447752 150361516 182016572 225542274 273024858 300723032 338313411 364033144 409537287 451084548 546049716 676626822 819074574 864578717 902169096 1046595289 1092099432 1353253644 1638149148 1729157434 2093190578 2593736151 2706507288 3139785867 3276298296 3458314868 4186381156 5187472302 6279571734 6916629736 7781208453 8372762312 9419357601 10374944604 12559143468 15562416906 18838715202 19885310491 20749889208 25118286936 31124833812 37677430404 39770620982 59655931473 62249667624 75354860808 79541241964 119311862946 159082483928 178967794419 238623725892 357935588838 477247451784 715871177676 1431742355352