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141124130400 = 25352115345611
BaseRepresentation
bin1000001101101110100…
…1110101011001100000
3111111021011221121202110
42003123221311121200
54303010234133100
6144455335515320
713124121213261
oct2033351653140
9444234847673
10141124130400
115493998aa30
1223426228b40
1310400741106
146b8aa4c968
153a0e772250
hex20dba75660

141124130400 has 144 divisors (see below), whose sum is σ = 501119051328. Its totient is φ = 34211904000.

The previous prime is 141124130383. The next prime is 141124130473. The reversal of 141124130400 is 4031421141.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2646406 + ... + 2699205.

It is an arithmetic number, because the mean of its divisors is an integer number (3479993412).

Almost surely, 2141124130400 is an apocalyptic number.

141124130400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141124130400 is an abundant number, since it is smaller than the sum of its proper divisors (359994920928).

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

141124130400 is a wasteful number, since it uses less digits than its factorization.

141124130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5345645 (or 5345632 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 141124130400 its reverse (4031421141), we get a palindrome (145155551541).

The spelling of 141124130400 in words is "one hundred forty-one billion, one hundred twenty-four million, one hundred thirty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 40 44 48 50 55 60 66 75 80 88 96 100 110 120 132 150 160 165 176 200 220 240 264 275 300 330 352 400 440 480 528 550 600 660 800 825 880 1056 1100 1200 1320 1650 1760 2200 2400 2640 3300 4400 5280 6600 8800 13200 26400 5345611 10691222 16036833 21382444 26728055 32073666 42764888 53456110 58801721 64147332 80184165 85529776 106912220 117603442 128294664 133640275 160368330 171059552 176405163 213824440 235206884 256589328 267280550 294008605 320736660 352810326 400920825 427648880 470413768 513178656 534561100 588017210 641473320 705620652 801841650 855297760 882025815 940827536 1069122200 1176034420 1282946640 1411241304 1470043025 1603683300 1764051630 1881655072 2138244400 2352068840 2565893280 2822482608 2940086050 3207366600 3528103260 4276488800 4410129075 4704137680 5644965216 5880172100 6414733200 7056206520 8820258150 9408275360 11760344200 12829466400 14112413040 17640516300 23520688400 28224826080 35281032600 47041376800 70562065200 141124130400