Search a number
-
+
40265383772160 = 2153456149739
BaseRepresentation
bin10010010011111000000111…
…11001011000000000000000
312021120022222211022110120000
421021330003321120000000
520234202001221202120
6221345354551320000
711324035513636131
oct1111740371300000
9167508884273500
1040265383772160
11119144a9472008
12462384b680000
131961017851801
149d2bd808dc88
1549c5dd3a5990
hex249f03e58000

40265383772160 has 640 divisors, whose sum is σ = 146726107030800. Its totient is φ = 10561199800320.

The previous prime is 40265383772113. The next prime is 40265383772171. The reversal of 40265383772160 is 6127738356204.

It is a happy number.

40265383772160 is a `hidden beast` number, since 4 + 0 + 2 + 6 + 53 + 8 + 377 + 216 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×402653837721603 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 40265383772097 and 40265383772106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 809508571 + ... + 809558309.

Almost surely, 240265383772160 is an apocalyptic number.

40265383772160 is a gapful number since it is divisible by the number (40) 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 40265383772160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73363053515400).

40265383772160 is an abundant number, since it is smaller than the sum of its proper divisors (106460723258640).

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

40265383772160 is an frugal number, since it uses more digits than its factorization.

40265383772160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49847 (or 49810 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 40265383772160 in words is "forty trillion, two hundred sixty-five billion, three hundred eighty-three million, seven hundred seventy-two thousand, one hundred sixty".