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141363184248 = 2332111319273521
BaseRepresentation
bin1000001110100111100…
…1110000001001111000
3111111212211202210222200
42003221321300021320
54304002433343443
6144535155350200
713133053145256
oct2035171601170
9444784683880
10141363184248
1154a519176a0
12234922b2360
131043b1203b0
146bb06b95d6
153a25742dd3
hex20e9e70278

141363184248 has 576 divisors, whose sum is σ = 482137699680. Its totient is φ = 36876902400.

The previous prime is 141363184217. The next prime is 141363184279. The reversal of 141363184248 is 842481363141.

141363184248 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 631 + 8 + 4 + 2 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (141363184217) and next prime (141363184279).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 271330228 + ... + 271330748.

Almost surely, 2141363184248 is an apocalyptic number.

141363184248 is a gapful number since it is divisible by the number (18) 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 141363184248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241068849840).

141363184248 is an abundant number, since it is smaller than the sum of its proper divisors (340774515432).

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

141363184248 is a wasteful number, since it uses less digits than its factorization.

141363184248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 642 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

It can be divided in two parts, 1413 and 63184248, that added together give a triangular number (63185661 = T11241).

The spelling of 141363184248 in words is "one hundred forty-one billion, three hundred sixty-three million, one hundred eighty-four thousand, two hundred forty-eight".