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1340132244030 = 2325131349325693
BaseRepresentation
bin10011100000000110000…
…110110011101000111110
311202010010010020200102200
4103200012012303220332
5133424042323302110
62503352004532330
7165551504060316
oct23400606635076
94663103220380
101340132244030
1147738a795118
121978876b10a6
13994b269c9b8
1448c1153c446
1524cd73306c0
hex138061b3a3e

1340132244030 has 96 divisors (see below), whose sum is σ = 3521012695200. Its totient is φ = 353623345920.

The previous prime is 1340132243959. The next prime is 1340132244049. The reversal of 1340132244030 is 304422310431.

1340132244030 is a `hidden beast` number, since 1 + 3 + 401 + 3 + 224 + 4 + 0 + 30 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1340132243985 and 1340132244003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3951864 + ... + 4277556.

It is an arithmetic number, because the mean of its divisors is an integer number (36677215575).

Almost surely, 21340132244030 is an apocalyptic number.

1340132244030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1340132244030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760506347600).

1340132244030 is an abundant number, since it is smaller than the sum of its proper divisors (2180880451170).

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

1340132244030 is a wasteful number, since it uses less digits than its factorization.

1340132244030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326186 (or 326183 counting only the distinct ones).

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

Adding to 1340132244030 its reverse (304422310431), we get a palindrome (1644554554461).

The spelling of 1340132244030 in words is "one trillion, three hundred forty billion, one hundred thirty-two million, two hundred forty-four thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 131 262 349 393 655 698 786 1047 1179 1310 1745 1965 2094 2358 3141 3490 3930 5235 5895 6282 10470 11790 15705 31410 45719 91438 137157 228595 274314 325693 411471 457190 651386 685785 822942 977079 1371570 1628465 1954158 2057355 2931237 3256930 4114710 4885395 5862474 9770790 14656185 29312370 42665783 85331566 113666857 127997349 213328915 227333714 255994698 341000571 383992047 426657830 568334285 639986745 682001142 767984094 1023001713 1136668570 1279973490 1705002855 1919960235 2046003426 3410005710 3839920470 5115008565 10230017130 14890358267 29780716534 44671074801 74451791335 89342149602 134013224403 148903582670 223355374005 268026448806 446710748010 670066122015 1340132244030