Search a number
-
+
120041310442424 = 23719891267649219
BaseRepresentation
bin11011010010110101001011…
…101010101101001110111000
3120202000211121022122221111112
4123102311023222231032320
5111213224100433124144
61103150114451015452
734166461402146620
oct3322651352551670
9522024538587445
10120041310442424
1135281263302018
1211568987b9a588
1351c9b01b32247
14219005d6b9880
15dd283b1e199e
hex6d2d4baad3b8

120041310442424 has 64 divisors (see below), whose sum is σ = 273812231520000. Its totient is φ = 48190952671488.

The previous prime is 120041310442423. The next prime is 120041310442433. The reversal of 120041310442424 is 424244013140021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120041310442423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 633729914 + ... + 633919305.

It is an arithmetic number, because the mean of its divisors is an integer number (4278316117500).

Almost surely, 2120041310442424 is an apocalyptic number.

120041310442424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

120041310442424 is an abundant number, since it is smaller than the sum of its proper divisors (153770921077576).

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

120041310442424 is a wasteful number, since it uses less digits than its factorization.

120041310442424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267649340 (or 1267649336 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 120041310442424 its reverse (424244013140021), we get a palindrome (544285323582445).

The spelling of 120041310442424 in words is "one hundred twenty trillion, forty-one billion, three hundred ten million, four hundred forty-two thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 89 133 152 178 266 356 532 623 712 1064 1246 1691 2492 3382 4984 6764 11837 13528 23674 47348 94696 1267649219 2535298438 5070596876 8873544533 10141193752 17747089066 24085335161 35494178132 48170670322 70988356264 96341340644 112820780491 168597346127 192682681288 225641560982 337194692254 451283121964 674389384508 789745463437 902566243928 1348778769016 1579490926874 2143594829329 3158981853748 4287189658658 6317963707496 8574379317316 15005163805303 17148758634632 30010327610606 60020655221212 120041310442424