Search a number
-
+
1429456499712 = 21032647239731
BaseRepresentation
bin10100110011010010001…
…111110011010000000000
312001122200021121000121200
4110303102033303100000
5141410011330442322
63012403325421200
7205163156524653
oct24632217632000
95048607530550
101429456499712
11501257a2352a
121b105610a800
13a4a494c6067
144d2867b789a
15272b41cb8ac
hex14cd23f3400

1429456499712 has 132 divisors (see below), whose sum is σ = 4133921347296. Its totient is φ = 475747061760.

The previous prime is 1429456499683. The next prime is 1429456499729. The reversal of 1429456499712 is 2179946549241.

1429456499712 is a `hidden beast` number, since 1 + 4 + 2 + 94 + 56 + 499 + 7 + 1 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1429456499712.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5842887 + ... + 6082617.

Almost surely, 21429456499712 is an apocalyptic number.

1429456499712 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 1429456499712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2066960673648).

1429456499712 is an abundant number, since it is smaller than the sum of its proper divisors (2704464847584).

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

1429456499712 is a wasteful number, since it uses less digits than its factorization.

1429456499712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240404 (or 240383 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The spelling of 1429456499712 in words is "one trillion, four hundred twenty-nine billion, four hundred fifty-six million, four hundred ninety-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 647 768 1024 1152 1294 1536 1941 2304 2588 3072 3882 4608 5176 5823 7764 9216 10352 11646 15528 20704 23292 31056 41408 46584 62112 82816 93168 124224 165632 186336 239731 248448 331264 372672 479462 496896 662528 719193 745344 958924 993792 1438386 1490688 1917848 1987584 2157579 2876772 2981376 3835696 4315158 5753544 5962752 7671392 8630316 11507088 15342784 17260632 23014176 30685568 34521264 46028352 61371136 69042528 92056704 122742272 138085056 155105957 184113408 245484544 276170112 310211914 368226816 465317871 552340224 620423828 736453632 930635742 1104680448 1240847656 1395953613 1861271484 2209360896 2481695312 2791907226 3722542968 4963390624 5583814452 7445085936 9926781248 11167628904 14890171872 19853562496 22335257808 29780343744 39707124992 44670515616 59560687488 79414249984 89341031232 119121374976 158828499968 178682062464 238242749952 357364124928 476485499904 714728249856 1429456499712