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14001441041400 = 23352145116082519
BaseRepresentation
bin1100101110111111011011…
…1010110110101111111000
31211120112011111111102221020
43023233312322312233320
53313344422401311100
645440101225342440
72643366522116331
oct313576672665770
954515144442836
1014001441041400
114508a834a639a
1216a16a6337a20
137a743a672277
1436595d9c5288
1519432269d5a0
hexcbbf6eb6bf8

14001441041400 has 96 divisors (see below), whose sum is σ = 43434383414400. Its totient is φ = 3731144176000.

The previous prime is 14001441041383. The next prime is 14001441041443. The reversal of 14001441041400 is 414014410041.

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

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, 7170660 + ... + 8911859.

It is an arithmetic number, because the mean of its divisors is an integer number (452441493900).

Almost surely, 214001441041400 is an apocalyptic number.

14001441041400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14001441041400 is an abundant number, since it is smaller than the sum of its proper divisors (29432942373000).

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

14001441041400 is a wasteful number, since it uses less digits than its factorization.

14001441041400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16083989 (or 16083980 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 14001441041400 its reverse (414014410041), we get a palindrome (14415455451441).

The spelling of 14001441041400 in words is "fourteen trillion, one billion, four hundred forty-one million, forty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1451 2902 4353 5804 7255 8706 11608 14510 17412 21765 29020 34824 36275 43530 58040 72550 87060 108825 145100 174120 217650 290200 435300 870600 16082519 32165038 48247557 64330076 80412595 96495114 128660152 160825190 192990228 241237785 321650380 385980456 402062975 482475570 643300760 804125950 964951140 1206188925 1608251900 1929902280 2412377850 3216503800 4824755700 9649511400 23335735069 46671470138 70007205207 93342940276 116678675345 140014410414 186685880552 233357350690 280028820828 350036026035 466714701380 560057641656 583393376725 700072052070 933429402760 1166786753450 1400144104140 1750180130175 2333573506900 2800288208280 3500360260350 4667147013800 7000720520700 14001441041400