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147409799040 = 27325721117327
BaseRepresentation
bin1000100101001001001…
…1110000011110000000
3112002111020112200010200
42021102103300132000
54403343402032130
6151415155325200
713435644421650
oct2112223603600
9462436480120
10147409799040
1157574a968a9
122469b2b0800
1310b92a5a77a
1471c5780360
153c7b4d7760
hex22524f0780

147409799040 has 384 divisors, whose sum is σ = 584533048320. Its totient is φ = 33532047360.

The previous prime is 147409799029. The next prime is 147409799071. The reversal of 147409799040 is 40997904741.

147409799040 is a `hidden beast` number, since 1 + 47 + 409 + 79 + 90 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8498857 + ... + 8516183.

It is an arithmetic number, because the mean of its divisors is an integer number (1522221480).

Almost surely, 2147409799040 is an apocalyptic number.

147409799040 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 147409799040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292266524160).

147409799040 is an abundant number, since it is smaller than the sum of its proper divisors (437123249280).

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

147409799040 is a wasteful number, since it uses less digits than its factorization.

147409799040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17570 (or 17555 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 147409799040 in words is "one hundred forty-seven billion, four hundred nine million, seven hundred ninety-nine thousand, forty".