Search a number
-
+
141029732200 = 23527317314783
BaseRepresentation
bin1000001101011000000…
…1101110111101101000
3111111000121022200202211
42003112001232331220
54302312102412300
6144442124334504
713121563642000
oct2032601567550
9444017280684
10141029732200
11548a0675195
12233ba6a4434
13103b700c2a6
146b7c2b9000
153a063274ba
hex20d606ef68

141029732200 has 768 divisors, whose sum is σ = 431972352000. Its totient is φ = 42584371200.

The previous prime is 141029732143. The next prime is 141029732209. The reversal of 141029732200 is 2237920141.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (141029732209) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1699153359 + ... + 1699153441.

It is an arithmetic number, because the mean of its divisors is an integer number (562464000).

Almost surely, 2141029732200 is an apocalyptic number.

141029732200 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 141029732200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215986176000).

141029732200 is an abundant number, since it is smaller than the sum of its proper divisors (290942619800).

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

141029732200 is a wasteful number, since it uses less digits than its factorization.

141029732200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The spelling of 141029732200 in words is "one hundred forty-one billion, twenty-nine million, seven hundred thirty-two thousand, two hundred".