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141000432144440 = 235112179731356443
BaseRepresentation
bin100000000011110100111000…
…101010111101000000111000
3200111020111202112211011210212
4200003310320222331000320
5121440122341112110230
61215514412043530252
741461642103146331
oct4003647052750070
9614214675734725
10141000432144440
1140a21a47087700
12139929b3529988
13608a38c3938bb
1426b6658ca5288
151147b28b65895
hex803d38abd038

141000432144440 has 384 divisors, whose sum is σ = 374231346713280. Its totient is φ = 47605910077440.

The previous prime is 141000432144433. The next prime is 141000432144449. The reversal of 141000432144440 is 44441234000141.

It is a super-2 number, since 2×1410004321444402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 141000432144397 and 141000432144406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141000432144449) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2498074859 + ... + 2498131301.

Almost surely, 2141000432144440 is an apocalyptic number.

141000432144440 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 141000432144440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187115673356640).

141000432144440 is an abundant number, since it is smaller than the sum of its proper divisors (233230914568840).

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

141000432144440 is a wasteful number, since it uses less digits than its factorization.

141000432144440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56903 (or 56888 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 141000432144440 its reverse (44441234000141), we get a palindrome (185441666144581).

The spelling of 141000432144440 in words is "one hundred forty-one trillion, four hundred thirty-two million, one hundred forty-four thousand, four hundred forty".