Search a number
-
+
540041520321240 = 233572163641879031
BaseRepresentation
bin111101011001010100011011…
…0111110111001001011011000
32121211010110120002022111220120
41322302220312332321023120
51031241020013200234430
65152323352142353240
7221515466212104600
oct17262506676711330
92554113502274816
10540041520321240
1114708a360405813
125069b7b858b820
131a244909c99672
149750212db5c00
154267abc812610
hex1eb2a36fb92d8

540041520321240 has 384 divisors, whose sum is σ = 1899157215352320. Its totient is φ = 122489244057600.

The previous prime is 540041520321221. The next prime is 540041520321253. The reversal of 540041520321240 is 42123025140045.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 613920525 + ... + 614799555.

It is an arithmetic number, because the mean of its divisors is an integer number (4945721914980).

Almost surely, 2540041520321240 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 540041520321240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949578607676160).

540041520321240 is an abundant number, since it is smaller than the sum of its proper divisors (1359115695031080).

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

540041520321240 is a wasteful number, since it uses less digits than its factorization.

540041520321240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879863 (or 879852 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 540041520321240 its reverse (42123025140045), we get a palindrome (582164545461285).

The spelling of 540041520321240 in words is "five hundred forty trillion, forty-one billion, five hundred twenty million, three hundred twenty-one thousand, two hundred forty".