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4424424310040 = 2357314253119851
BaseRepresentation
bin100000001100010010000…
…1111010100010100011000
3120122222012201220120120112
41000120210033110110120
51034442210110410130
613224315155543452
7634440234056120
oct100304417242430
916588181816515
104424424310040
11145642a1a6669
125b55968bab88
132612b5606827
1411420122dc80
157a151c5b495
hex406243d4518

4424424310040 has 128 divisors (see below), whose sum is σ = 11746953400320. Its totient is φ = 1467654336000.

The previous prime is 4424424310013. The next prime is 4424424310069. The reversal of 4424424310040 is 400134244244.

It is a junction number, because it is equal to n+sod(n) for n = 4424424309979 and 4424424310006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36856115 + ... + 36975965.

It is an arithmetic number, because the mean of its divisors is an integer number (91773073440).

Almost surely, 24424424310040 is an apocalyptic number.

4424424310040 is a gapful number since it is divisible by the number (40) 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 4424424310040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5873476700160).

4424424310040 is an abundant number, since it is smaller than the sum of its proper divisors (7322529090280).

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

4424424310040 is a wasteful number, since it uses less digits than its factorization.

4424424310040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124153 (or 124149 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 4424424310040 its reverse (400134244244), we get a palindrome (4824558554284).

The spelling of 4424424310040 in words is "four trillion, four hundred twenty-four billion, four hundred twenty-four million, three hundred ten thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 248 280 310 434 620 868 1085 1240 1736 2170 4253 4340 8506 8680 17012 21265 29771 34024 42530 59542 85060 119084 119851 131843 148855 170120 238168 239702 263686 297710 479404 527372 595420 599255 659215 838957 922901 958808 1054744 1190840 1198510 1318430 1677914 1845802 2397020 2636860 3355828 3691604 3715381 4194785 4614505 4794040 5273720 6711656 7383208 7430762 8389570 9229010 14861524 16779140 18458020 18576905 26007667 29723048 33558280 36916040 37153810 52015334 74307620 104030668 130038335 148615240 208061336 260076670 509726303 520153340 1019452606 1040306680 2038905212 2548631515 3568084121 4077810424 5097263030 7136168242 10194526060 14272336484 15801515393 17840420605 20389052120 28544672968 31603030786 35680841210 63206061572 71361682420 79007576965 110610607751 126412123144 142723364840 158015153930 221221215502 316030307860 442442431004 553053038755 632060615720 884884862008 1106106077510 2212212155020 4424424310040