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540024311043140 = 22571143591091268077
BaseRepresentation
bin111101011001001100011010…
…1001110101101010001000100
32121211001211010202000121102012
41322302120311032231101010
51031240224242111340030
65152311424344033352
7221514316564464260
oct17262306516552104
92554054122017365
10540024311043140
1114708302a1a7430
12506983b5162858
131a2430c6820b81
14974d45d5bb0a0
154267411a9c095
hex1eb26353ad444

540024311043140 has 384 divisors, whose sum is σ = 1484783400038400. Its totient is φ = 160135477770240.

The previous prime is 540024311043103. The next prime is 540024311043169. The reversal of 540024311043140 is 41340113420045.

It is a junction number, because it is equal to n+sod(n) for n = 540024311043097 and 540024311043106.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 425226782 + ... + 426494858.

It is an arithmetic number, because the mean of its divisors is an integer number (3866623437600).

Almost surely, 2540024311043140 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 540024311043140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742391700019200).

540024311043140 is an abundant number, since it is smaller than the sum of its proper divisors (944759088995260).

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

540024311043140 is a wasteful number, since it uses less digits than its factorization.

540024311043140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268315 (or 1268313 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 540024311043140 its reverse (41340113420045), we get a palindrome (581364424463185).

The spelling of 540024311043140 in words is "five hundred forty trillion, twenty-four billion, three hundred eleven million, forty-three thousand, one hundred forty".