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40197233340 = 223451121943251
BaseRepresentation
bin100101011011111100…
…010001101010111100
310211202102012000210000
4211123330101222330
51124310442431330
630244422114300
72622060563055
oct453374215274
9124672160700
1040197233340
1116058321400
127959b7b990
133a37bab494
141d3486d72c
1510a3e96560
hex95bf11abc

40197233340 has 720 divisors, whose sum is σ = 149888914560. Its totient is φ = 8981280000.

The previous prime is 40197233327. The next prime is 40197233393. The reversal of 40197233340 is 4333279104.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40197233295 and 40197233304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 160148215 + ... + 160148465.

It is an arithmetic number, because the mean of its divisors is an integer number (208179048).

Almost surely, 240197233340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40197233340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74944457280).

40197233340 is an abundant number, since it is smaller than the sum of its proper divisors (109691681220).

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

40197233340 is a wasteful number, since it uses less digits than its factorization.

40197233340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 40197233340 in words is "forty billion, one hundred ninety-seven million, two hundred thirty-three thousand, three hundred forty".