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141012403224 = 233711673113381
BaseRepresentation
bin1000001101010011111…
…1101000010000011000
3111110222101201021212220
42003110333220100120
54302243133400344
6144440305104040
713121263436130
oct2032477502030
9443871637786
10141012403224
1154891909720
12233b4928020
13103b3552864
146b79c87ac0
153a04a52c19
hex20d4fe8418

141012403224 has 128 divisors (see below), whose sum is σ = 440176135680. Its totient is φ = 36571852800.

The previous prime is 141012403183. The next prime is 141012403241. The reversal of 141012403224 is 422304210141.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 141012403194 and 141012403203.

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, 1187014 + ... + 1300394.

It is an arithmetic number, because the mean of its divisors is an integer number (3438876060).

Almost surely, 2141012403224 is an apocalyptic number.

141012403224 is a gapful number since it is divisible by the number (14) 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 141012403224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220088067840).

141012403224 is an abundant number, since it is smaller than the sum of its proper divisors (299163732456).

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

141012403224 is a wasteful number, since it uses less digits than its factorization.

141012403224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114081 (or 114077 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 141012403224 its reverse (422304210141), we get a palindrome (563316613365).

The spelling of 141012403224 in words is "one hundred forty-one billion, twelve million, four hundred three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 673 924 1346 1848 2019 2692 4038 4711 5384 7403 8076 9422 14133 14806 16152 18844 22209 28266 29612 37688 44418 51821 56532 59224 88836 103642 113064 113381 155463 177672 207284 226762 310926 340143 414568 453524 621852 680286 793667 907048 1243704 1247191 1360572 1587334 2381001 2494382 2721144 3174668 3741573 4762002 4988764 6349336 7483146 8730337 9524004 9977528 14966292 17460674 19048008 26191011 29932584 34921348 52382022 69842696 76305413 104764044 152610826 209528088 228916239 305221652 457832478 534137891 610443304 839359543 915664956 1068275782 1602413673 1678719086 1831329912 2136551564 2518078629 3204827346 3357438172 4273103128 5036157258 5875516801 6409654692 6714876344 10072314516 11751033602 12819309384 17626550403 20144629032 23502067204 35253100806 47004134408 70506201612 141012403224