Search a number
-
+
2012844390144 = 2837937399587
BaseRepresentation
bin11101010010100110110…
…111111111011100000000
321010102111120211110211120
4131102212313333130000
5230434301130441034
64140404332512240
7265265106006450
oct35224667773400
97112446743746
102012844390144
11706708202255
1228612961b680
13117a6c621923
146d5ca6add60
153755a942c49
hex1d4a6dff700

2012844390144 has 144 divisors (see below), whose sum is σ = 6128951071488. Its totient is φ = 574483193856.

The previous prime is 2012844390101. The next prime is 2012844390209. The reversal of 2012844390144 is 4410934482102.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2012844390096 and 2012844390105.

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 15 ways as a sum of consecutive naturals, for example, 4837519 + ... + 5237105.

Almost surely, 22012844390144 is an apocalyptic number.

2012844390144 is a gapful number since it is divisible by the number (24) 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 2012844390144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3064475535744).

2012844390144 is an abundant number, since it is smaller than the sum of its proper divisors (4116106681344).

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

2012844390144 is an equidigital number, since it uses as much as digits as its factorization.

2012844390144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400550 (or 400536 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 2012844390144 in words is "two trillion, twelve billion, eight hundred forty-four million, three hundred ninety thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 937 1344 1792 1874 2688 2811 3748 5376 5622 6559 7496 11244 13118 14992 19677 22488 26236 29984 39354 44976 52472 59968 78708 89952 104944 119936 157416 179904 209888 239872 314832 359808 399587 419776 629664 719616 799174 839552 1198761 1259328 1598348 1679104 2397522 2518656 2797109 3196696 4795044 5037312 5594218 6393392 8391327 9590088 11188436 12786784 16782654 19180176 22376872 25573568 33565308 38360352 44753744 51147136 67130616 76720704 89507488 102294272 134261232 153441408 179014976 268522464 306882816 358029952 374413019 537044928 716059904 748826038 1074089856 1123239057 1497652076 2148179712 2246478114 2620891133 2995304152 4492956228 5241782266 5990608304 7862673399 8985912456 10483564532 11981216608 15725346798 17971824912 20967129064 23962433216 31450693596 35943649824 41934258128 47924866432 62901387192 71887299648 83868516256 95849732864 125802774384 143774599296 167737032512 251605548768 287549198592 335474065024 503211097536 670948130048 1006422195072 2012844390144