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141240444100 = 225273727719687
BaseRepresentation
bin1000001110001010010…
…1100010010011000100
3111111120021210222011021
42003202211202103010
54303230023202400
6144515052520524
713130032652260
oct2034245422304
9444507728137
10141240444100
1154999604158
1223459180144
131041b8771a2
146b9c2890a0
153a19a9a71a
hex20e29624c4

141240444100 has 144 divisors (see below), whose sum is σ = 361060279552. Its totient is φ = 46944023040.

The previous prime is 141240444083. The next prime is 141240444109. The reversal of 141240444100 is 1444042141.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (141240444109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7164457 + ... + 7184143.

Almost surely, 2141240444100 is an apocalyptic number.

141240444100 is a gapful number since it is divisible by the number (10) 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 141240444100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180530139776).

141240444100 is an abundant number, since it is smaller than the sum of its proper divisors (219819835452).

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

141240444100 is a wasteful number, since it uses less digits than its factorization.

141240444100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20022 (or 20015 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 141240444100 its reverse (1444042141), we get a palindrome (142684486241).

The spelling of 141240444100 in words is "one hundred forty-one billion, two hundred forty million, four hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 37 50 70 74 100 140 148 175 185 259 277 350 370 518 554 700 740 925 1036 1108 1295 1385 1850 1939 2590 2770 3700 3878 5180 5540 6475 6925 7756 9695 10249 12950 13850 19390 19687 20498 25900 27700 38780 39374 40996 48475 51245 71743 78748 96950 98435 102490 137809 143486 193900 196870 204980 256225 275618 286972 358715 393740 492175 512450 551236 689045 717430 728419 984350 1024900 1378090 1434860 1456838 1793575 1968700 2756180 2913676 3445225 3587150 3642095 5098933 5453299 6890450 7174300 7284190 10197866 10906598 13780900 14568380 18210475 20395732 21813196 25494665 27266495 36420950 38173093 50989330 54532990 72841900 76346186 101978660 109065980 127473325 136332475 152692372 190865465 201772063 254946650 272664950 381730930 403544126 509893300 545329900 763461860 807088252 954327325 1008860315 1412404441 1908654650 2017720630 2824808882 3817309300 4035441260 5044301575 5649617764 7062022205 10088603150 14124044410 20177206300 28248088820 35310111025 70620222050 141240444100