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142023033200 = 245210312727143
BaseRepresentation
bin1000010001000100111…
…0111000000101110000
3111120120211101121120202
42010101032320011300
54311330344030300
6145124450254332
713155314602166
oct2042116700560
9446524347522
10142023033200
1155260332a04
12236372873a8
1310514a42269
146c341a1236
153a63633ad5
hex21113b8170

142023033200 has 120 divisors (see below), whose sum is σ = 347248631808. Its totient is φ = 55812637440.

The previous prime is 142023033197. The next prime is 142023033211. The reversal of 142023033200 is 2330320241.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 5218829 + ... + 5245971.

Almost surely, 2142023033200 is an apocalyptic number.

142023033200 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 142023033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173624315904).

142023033200 is an abundant number, since it is smaller than the sum of its proper divisors (205225598608).

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

142023033200 is a wasteful number, since it uses less digits than its factorization.

142023033200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27391 (or 27380 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 142023033200 its reverse (2330320241), we get a palindrome (144353353441).

The spelling of 142023033200 in words is "one hundred forty-two billion, twenty-three million, thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 103 127 200 206 254 400 412 508 515 635 824 1016 1030 1270 1648 2032 2060 2540 2575 3175 4120 5080 5150 6350 8240 10160 10300 12700 13081 20600 25400 26162 27143 41200 50800 52324 54286 65405 104648 108572 130810 135715 209296 217144 261620 271430 327025 434288 523240 542860 654050 678575 1046480 1085720 1308100 1357150 2171440 2616200 2714300 2795729 3447161 5232400 5428600 5591458 6894322 10857200 11182916 13788644 13978645 17235805 22365832 27577288 27957290 34471610 44731664 55154576 55914580 68943220 69893225 86179025 111829160 137886440 139786450 172358050 223658320 275772880 279572900 344716100 355057583 559145800 689432200 710115166 1118291600 1378864400 1420230332 1775287915 2840460664 3550575830 5680921328 7101151660 8876439575 14202303320 17752879150 28404606640 35505758300 71011516600 142023033200