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142003021200 = 24352235145037
BaseRepresentation
bin1000010001000000001…
…0100010010110010000
3111120112102201220021120
42010100002202112100
54311310233134300
6145122453322240
713154652523155
oct2042002422620
9446472656246
10142003021200
1155250004667
1223630636380
1310510856541
146c3167222c
153a619ce3a0
hex21100a2590

142003021200 has 120 divisors (see below), whose sum is σ = 474660625728. Its totient is φ = 36221053440.

The previous prime is 142003021109. The next prime is 142003021201. The reversal of 142003021200 is 2120300241.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 142003021200.

It is not an unprimeable number, because it can be changed into a prime (142003021201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2544919 + ... + 2600118.

Almost surely, 2142003021200 is an apocalyptic number.

142003021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142003021200 is an abundant number, since it is smaller than the sum of its proper divisors (332657604528).

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

142003021200 is a wasteful number, since it uses less digits than its factorization.

142003021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5145081 (or 5145070 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 142003021200 its reverse (2120300241), we get a palindrome (144123321441).

The spelling of 142003021200 in words is "one hundred forty-two billion, three million, twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 40 46 48 50 60 69 75 80 92 100 115 120 138 150 184 200 230 240 276 300 345 368 400 460 552 575 600 690 920 1104 1150 1200 1380 1725 1840 2300 2760 3450 4600 5520 6900 9200 13800 27600 5145037 10290074 15435111 20580148 25725185 30870222 41160296 51450370 61740444 77175555 82320592 102900740 118335851 123480888 128625925 154351110 205801480 236671702 246961776 257251850 308702220 355007553 385877775 411602960 473343404 514503700 591679255 617404440 710015106 771755550 946686808 1029007400 1183358510 1234808880 1420030212 1543511100 1775037765 1893373616 2058014800 2366717020 2840060424 2958396275 3087022200 3550075530 4733434040 5680120848 5916792550 6174044400 7100151060 8875188825 9466868080 11833585100 14200302120 17750377650 23667170200 28400604240 35500755300 47334340400 71001510600 142003021200