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142203423200 = 25523149911491
BaseRepresentation
bin1000010001101111111…
…1000000100111100000
3111121001101211101010212
42010123333000213200
54312213034020300
6145154412513252
713162635103436
oct2043377004740
9447041741125
10142203423200
1155343141653
122368777b828
13105432217c7
146c5011ad56
153a743b7935
hex211bfc09e0

142203423200 has 144 divisors (see below), whose sum is σ = 359102016000. Its totient is φ = 54931392000.

The previous prime is 142203423191. The next prime is 142203423211. The reversal of 142203423200 is 2324302241.

It is a super-3 number, since 3×1422034232003 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12369455 + ... + 12380945.

It is an arithmetic number, because the mean of its divisors is an integer number (2493764000).

Almost surely, 2142203423200 is an apocalyptic number.

142203423200 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 142203423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179551008000).

142203423200 is an abundant number, since it is smaller than the sum of its proper divisors (216898592800).

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

142203423200 is a wasteful number, since it uses less digits than its factorization.

142203423200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12041 (or 12028 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 142203423200 its reverse (2324302241), we get a palindrome (144527725441).

The spelling of 142203423200 in words is "one hundred forty-two billion, two hundred three million, four hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 80 100 124 155 160 200 248 310 400 496 499 620 775 800 992 998 1240 1550 1996 2480 2495 3100 3992 4960 4990 6200 7984 9980 11491 12400 12475 15469 15968 19960 22982 24800 24950 30938 39920 45964 49900 57455 61876 77345 79840 91928 99800 114910 123752 154690 183856 199600 229820 247504 287275 309380 356221 367712 386725 399200 459640 495008 574550 618760 712442 773450 919280 1149100 1237520 1424884 1546900 1781105 1838560 2298200 2475040 2849768 3093800 3562210 4596400 5699536 5734009 6187600 7124420 8905525 9192800 11399072 11468018 12375200 14248840 17811050 22936036 28497680 28670045 35622100 45872072 56995360 57340090 71244200 91744144 114680180 142488400 143350225 177754279 183488288 229360360 284976800 286700450 355508558 458720720 573400900 711017116 888771395 917441440 1146801800 1422034232 1777542790 2293603600 2844068464 3555085580 4443856975 4587207200 5688136928 7110171160 8887713950 14220342320 17775427900 28440684640 35550855800 71101711600 142203423200