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141130346312430 = 232531616780915299
BaseRepresentation
bin100000000101101101111000…
…001010001011001011101110
3200111200221002111020201001100
4200011231320022023023232
5121444234422123444210
61220054215215223530
741504221355310516
oct4005557012131356
9614627074221040
10141130346312430
1140a72053261992
12139b400b517ba6
1360996c4545657
1426bca60bca846
15114b1ce1c25c0
hex805b7828b2ee

141130346312430 has 384 divisors, whose sum is σ = 391239673344000. Its totient is φ = 35243067340800.

The previous prime is 141130346312401. The next prime is 141130346312467. The reversal of 141130346312430 is 34213643031141.

141130346312430 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 303 + 4 + 6 + 312 + 4 + 30 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9224800921 + ... + 9224816219.

It is an arithmetic number, because the mean of its divisors is an integer number (1018853316000).

Almost surely, 2141130346312430 is an apocalyptic number.

141130346312430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 141130346312430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195619836672000).

141130346312430 is an abundant number, since it is smaller than the sum of its proper divisors (250109327031570).

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

141130346312430 is a wasteful number, since it uses less digits than its factorization.

141130346312430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16280 (or 16277 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 141130346312430 its reverse (34213643031141), we get a palindrome (175343989343571).

The spelling of 141130346312430 in words is "one hundred forty-one trillion, one hundred thirty billion, three hundred forty-six million, three hundred twelve thousand, four hundred thirty".