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143998661731200 = 27352172393691819
BaseRepresentation
bin100000101111011101001101…
…000101001010001110000000
3200212212010201022202010212020
4200233131031011022032000
5122333233224400344300
61230132023313201440
742221363035143663
oct4057351505121600
9625763638663766
10143998661731200
1141978542567741
1214197aa4560280
1362470281925b3
14277b8029c76da
15119ab07c478a0
hex82f74d14a380

143998661731200 has 384 divisors, whose sum is σ = 504296705088000. Its totient is φ = 35989613936640.

The previous prime is 143998661731193. The next prime is 143998661731201. The reversal of 143998661731200 is 2137166899341.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1439986617312002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (143998661731201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37158891 + ... + 40850709.

It is an arithmetic number, because the mean of its divisors is an integer number (1313272669500).

Almost surely, 2143998661731200 is an apocalyptic number.

143998661731200 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 143998661731200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252148352544000).

143998661731200 is an abundant number, since it is smaller than the sum of its proper divisors (360298043356800).

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

143998661731200 is a wasteful number, since it uses less digits than its factorization.

143998661731200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3692102 (or 3692085 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 60.

The spelling of 143998661731200 in words is "one hundred forty-three trillion, nine hundred ninety-eight billion, six hundred sixty-one million, seven hundred thirty-one thousand, two hundred".