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142523213200 = 24527110634721
BaseRepresentation
bin1000010010111100001…
…0111010010110010000
3111121212200120101112221
42010233002322112100
54313341420310300
6145250235030424
713203600216004
oct2045702722620
9447780511487
10142523213200
1155497702605
122375689b414
131059455b264
146c807a2704
153a924d531a
hex212f0ba590

142523213200 has 120 divisors (see below), whose sum is σ = 347634999936. Its totient is φ = 56141568000.

The previous prime is 142523213141. The next prime is 142523213213. The reversal of 142523213200 is 2312325241.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 30186840 + ... + 30191560.

Almost surely, 2142523213200 is an apocalyptic number.

142523213200 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 142523213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173817499968).

142523213200 is an abundant number, since it is smaller than the sum of its proper divisors (205111786736).

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

142523213200 is a wasteful number, since it uses less digits than its factorization.

142523213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5873 (or 5862 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 142523213200 its reverse (2312325241), we get a palindrome (144835538441).

The spelling of 142523213200 in words is "one hundred forty-two billion, five hundred twenty-three million, two hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 71 80 100 142 200 284 355 400 568 710 1063 1136 1420 1775 2126 2840 3550 4252 4721 5315 5680 7100 8504 9442 10630 14200 17008 18884 21260 23605 26575 28400 37768 42520 47210 53150 75473 75536 85040 94420 106300 118025 150946 188840 212600 236050 301892 335191 377365 377680 425200 472100 603784 670382 754730 944200 1207568 1340764 1509460 1675955 1886825 1888400 2681528 3018920 3351910 3773650 5018423 5363056 6037840 6703820 7547300 8379775 10036846 13407640 15094600 16759550 20073692 25092115 26815280 30189200 33519100 40147384 50184230 67038200 80294768 100368460 125460575 134076400 200736920 250921150 356308033 401473840 501842300 712616066 1003684600 1425232132 1781540165 2007369200 2850464264 3563080330 5700928528 7126160660 8907700825 14252321320 17815401650 28504642640 35630803300 71261606600 142523213200