Search a number
-
+
44133333140340 = 223251727752067357
BaseRepresentation
bin10100000100011100101111…
…01001010000001101110100
312210021002211212110000211200
422002032113221100031310
521241040031240442330
6233510323502132500
712203346065044413
oct1202162751201564
9183232755400750
1044133333140340
1113075929005504
124b49403b81130
131b819a89814c2
14ac80c984947a
15518021487a60
hex282397a50374

44133333140340 has 144 divisors (see below), whose sum is σ = 142257602449872. Its totient is φ = 11036613316608.

The previous prime is 44133333140339. The next prime is 44133333140363. The reversal of 44133333140340 is 4304133333144.

44133333140340 is a `hidden beast` number, since 4 + 4 + 1 + 3 + 333 + 314 + 0 + 3 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 75891434256 + 44057441706084 = 275484^2 + 6637578^2 .

It is a super-2 number, since 2×441333331403402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 44133333140295 and 44133333140304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25186059 + ... + 26881298.

It is an arithmetic number, because the mean of its divisors is an integer number (987900017013).

Almost surely, 244133333140340 is an apocalyptic number.

It is an amenable number.

44133333140340 is an abundant number, since it is smaller than the sum of its proper divisors (98124269309532).

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

44133333140340 is a wasteful number, since it uses less digits than its factorization.

44133333140340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52067666 (or 52067661 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

Adding to 44133333140340 its reverse (4304133333144), we get a palindrome (48437466473484).

The spelling of 44133333140340 in words is "forty-four trillion, one hundred thirty-three billion, three hundred thirty-three million, one hundred forty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 277 306 340 510 554 612 765 831 1020 1108 1385 1530 1662 2493 2770 3060 3324 4155 4709 4986 5540 8310 9418 9972 12465 14127 16620 18836 23545 24930 28254 42381 47090 49860 56508 70635 84762 94180 141270 169524 211905 282540 423810 847620 52067357 104134714 156202071 208269428 260336785 312404142 468606213 520673570 624808284 781010355 885145069 937212426 1041347140 1562020710 1770290138 1874424852 2343031065 2655435207 3124041420 3540580276 4425725345 4686062130 5310870414 7966305621 8851450690 9372124260 10621740828 13277176035 14422657889 15932611242 17702901380 26554352070 28845315778 31865222484 39831528105 43267973667 53108704140 57690631556 72113289445 79663056210 86535947334 129803921001 144226578890 159326112420 173071894668 216339868335 245185184113 259607842002 288453157780 432679736670 490370368226 519215684004 649019605005 735555552339 865359473340 980740736452 1225925920565 1298039210010 1471111104678 2206666657017 2451851841130 2596078420020 2942222209356 3677777761695 4413333314034 4903703682260 7355555523390 8826666628068 11033333285085 14711111046780 22066666570170 44133333140340