Search a number
-
+
1412203240332 = 2233233491162853
BaseRepresentation
bin10100100011001101110…
…111110101101110001100
312000000010212112122011000
4110203031313311232030
5141114143012142312
63000431320300300
7204012466325133
oct24431567655614
95000125478130
101412203240332
114a4a03a05385
121a9840011690
13a3229bbb841
144c4cb21091a
1526b04679adc
hex148cddf5b8c

1412203240332 has 96 divisors (see below), whose sum is σ = 3821571048960. Its totient is φ = 450135956160.

The previous prime is 1412203240271. The next prime is 1412203240337. The reversal of 1412203240332 is 2330423022141.

1412203240332 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 2 + 0 + 324 + 0 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1412203240296 and 1412203240305.

It is not an unprimeable number, because it can be changed into a prime (1412203240337) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 8590218 + ... + 8753070.

It is an arithmetic number, because the mean of its divisors is an integer number (39808031760).

Almost surely, 21412203240332 is an apocalyptic number.

1412203240332 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 1412203240332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910785524480).

1412203240332 is an abundant number, since it is smaller than the sum of its proper divisors (2409367808628).

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

1412203240332 is a wasteful number, since it uses less digits than its factorization.

1412203240332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166380 (or 166372 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 1412203240332 its reverse (2330423022141), we get a palindrome (3742626262473).

The spelling of 1412203240332 in words is "one trillion, four hundred twelve billion, two hundred three million, two hundred forty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 828 1242 2484 3491 6982 10473 13964 20946 31419 41892 62838 80293 94257 125676 160586 162853 188514 240879 321172 325706 377028 481758 488559 651412 722637 963516 977118 1445274 1465677 1954236 2167911 2890548 2931354 3745619 4335822 4397031 5862708 7491238 8671644 8794062 11236857 14982476 17588124 22473714 33710571 44947428 67421142 101131713 134842284 202263426 404526852 568519823 1137039646 1705559469 2274079292 3411118938 5116678407 6822237876 10233356814 13075955929 15350035221 20466713628 26151911858 30700070442 39227867787 52303823716 61400140884 78455735574 117683603361 156911471148 235367206722 353050810083 470734413444 706101620166 1412203240332