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54022324031040 = 2635193881763141
BaseRepresentation
bin11000100100010000011010…
…11011110000111001000000
321002021111001122110020120110
430102020031123300321000
524040100204422443130
6310521302452511320
714243661356520651
oct1422101533607100
9232244048406513
1054022324031040
1116238814613692
126085a7b01b540
13241b38b533621
14d4a9a1755528
1563a3a0902ab0
hex31220d6f0e40

54022324031040 has 224 divisors, whose sum is σ = 180595051194240. Its totient is φ = 13644210585600.

The previous prime is 54022324030973. The next prime is 54022324031063. The reversal of 54022324031040 is 4013042322045.

It is a super-2 number, since 2×540223240310402 (a number of 28 digits) contains 22 as substring.

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 = 54022324030989 and 54022324031007.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70407870 + ... + 71171010.

Almost surely, 254022324031040 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 54022324031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90297525597120).

54022324031040 is an abundant number, since it is smaller than the sum of its proper divisors (126572727163200).

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

54022324031040 is a wasteful number, since it uses less digits than its factorization.

54022324031040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767061 (or 767051 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 54022324031040 its reverse (4013042322045), we get a palindrome (58035366353085).

The spelling of 54022324031040 in words is "fifty-four trillion, twenty-two billion, three hundred twenty-four million, thirty-one thousand, forty".