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40203021200 = 2452172457761
BaseRepresentation
bin100101011100010010…
…010110101110010000
310211202211002002020012
4211130102112232100
51124313433134300
630245150134052
72622161020226
oct453422265620
9124684062205
1040203021200
1116060614961
12795bab1328
133a39156a54
141d35538b16
1510a473b435
hex95c496b90

40203021200 has 180 divisors, whose sum is σ = 102963242892. Its totient is φ = 15082291200.

The previous prime is 40203021197. The next prime is 40203021247. The reversal of 40203021200 is 212030204.

It can be written as a sum of positive squares in 18 ways, for example, as 20465019136 + 19738002064 = 143056^2 + 140492^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 52828820 + ... + 52829580.

Almost surely, 240203021200 is an apocalyptic number.

40203021200 is a gapful number since it is divisible by the number (40) 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 40203021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51481621446).

40203021200 is an abundant number, since it is smaller than the sum of its proper divisors (62760221692).

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

40203021200 is a wasteful number, since it uses less digits than its factorization.

40203021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 40203021200 its reverse (212030204), we get a palindrome (40415051404).

The spelling of 40203021200 in words is "forty billion, two hundred three million, twenty-one thousand, two hundred".