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161215363440 = 243252715711447
BaseRepresentation
bin1001011000100100101…
…1110011100101110000
3120102010101011000012200
42112021023303211300
510120132113112230
6202021124423200
714435031656565
oct2261113634560
9512111130180
10161215363440
116240996275a
12272b2847b00
1312282cacca1
147b350c286c
1542d8510160
hex25892f3970

161215363440 has 240 divisors, whose sum is σ = 544740658176. Its totient is φ = 42727564800.

The previous prime is 161215363381. The next prime is 161215363459. The reversal of 161215363440 is 44363512161.

161215363440 is a `hidden beast` number, since 1 + 6 + 1 + 2 + 15 + 3 + 634 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 161215363395 and 161215363404.

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, 111412797 + ... + 111414243.

Almost surely, 2161215363440 is an apocalyptic number.

161215363440 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 161215363440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272370329088).

161215363440 is an abundant number, since it is smaller than the sum of its proper divisors (383525294736).

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

161215363440 is a wasteful number, since it uses less digits than its factorization.

161215363440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2308 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 161215363440 in words is "one hundred sixty-one billion, two hundred fifteen million, three hundred sixty-three thousand, four hundred forty".