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141332402000 = 2453181390421
BaseRepresentation
bin1000001110100000010…
…0010100111101010000
3111111210200211220200102
42003220010110331100
54303422043331000
6144532135511532
713132230411146
oct2035004247520
9444720756612
10141332402000
1154a36502519
1223483b285a8
131043493334a
146baa585596
153a22bb23d5
hex20e8114f50

141332402000 has 80 divisors (see below), whose sum is σ = 343630704144. Its totient is φ = 56220480000.

The previous prime is 141332401997. The next prime is 141332402009. The reversal of 141332402000 is 204233141.

It can be written as a sum of positive squares in 8 ways, for example, as 119710464064 + 21621937936 = 345992^2 + 147044^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141332402009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166790 + ... + 557210.

Almost surely, 2141332402000 is an apocalyptic number.

141332402000 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 141332402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171815352072).

141332402000 is an abundant number, since it is smaller than the sum of its proper divisors (202298302144).

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

141332402000 is a wasteful number, since it uses less digits than its factorization.

141332402000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390625 (or 390609 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 141332402000 its reverse (204233141), we get a palindrome (141536635141).

The spelling of 141332402000 in words is "one hundred forty-one billion, three hundred thirty-two million, four hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 181 200 250 362 400 500 724 905 1000 1448 1810 2000 2896 3620 4525 7240 9050 14480 18100 22625 36200 45250 72400 90500 181000 362000 390421 780842 1561684 1952105 3123368 3904210 6246736 7808420 9760525 15616840 19521050 31233680 39042100 48802625 70666201 78084200 97605250 141332402 156168400 195210500 282664804 353331005 390421000 565329608 706662010 780842000 1130659216 1413324020 1766655025 2826648040 3533310050 5653296080 7066620100 8833275125 14133240200 17666550250 28266480400 35333100500 70666201000 141332402000