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161312240301240 = 2335735936609023
BaseRepresentation
bin100100101011011001101110…
…110001111111010010111000
3210011011022002101100020011110
4210223121232301333102320
5132120414432004114430
61331025453053000320
745656265456615000
oct4453315661772270
9704138071306143
10161312240301240
1147443156280a06
1216113486a830a0
136c018a997b362
142bb97a85c5000
15139b17cb837b0
hex92b66ec7f4b8

161312240301240 has 256 divisors, whose sum is σ = 565309476864000. Its totient is φ = 36809185953792.

The previous prime is 161312240301239. The next prime is 161312240301241. The reversal of 161312240301240 is 42103042213161.

It is an interprime number because it is at equal distance from previous prime (161312240301239) and next prime (161312240301241).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 161312240301198 and 161312240301207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161312240301241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21103369 + ... + 27712391.

It is an arithmetic number, because the mean of its divisors is an integer number (2208240144000).

Almost surely, 2161312240301240 is an apocalyptic number.

161312240301240 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 161312240301240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282654738432000).

161312240301240 is an abundant number, since it is smaller than the sum of its proper divisors (403997236562760).

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

161312240301240 is a wasteful number, since it uses less digits than its factorization.

161312240301240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6609651 (or 6609633 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 161312240301240 in words is "one hundred sixty-one trillion, three hundred twelve billion, two hundred forty million, three hundred one thousand, two hundred forty".