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514113040532 = 2272134159239349
BaseRepresentation
bin1110111101100111000…
…01100111000010010100
31211011000102101110021102
413132303201213002110
531410400414244112
61032102534405232
752100125512200
oct7366341470224
91734012343242
10514113040532
11189041454763
128377b500818
1339632cb7c30
141ac51723b00
15d58eb44bc2
hex77b3867094

514113040532 has 288 divisors, whose sum is σ = 1182444480000. Its totient is φ = 193688893440.

The previous prime is 514113040531. The next prime is 514113040579. The reversal of 514113040532 is 235040311415.

It is a junction number, because it is equal to n+sod(n) for n = 514113040495 and 514113040504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514113040531) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1473103094 + ... + 1473103442.

It is an arithmetic number, because the mean of its divisors is an integer number (4105710000).

Almost surely, 2514113040532 is an apocalyptic number.

514113040532 is a gapful number since it is divisible by the number (52) 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 514113040532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591222240000).

514113040532 is an abundant number, since it is smaller than the sum of its proper divisors (668331439468).

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

514113040532 is a wasteful number, since it uses less digits than its factorization.

514113040532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 514113040532 its reverse (235040311415), we get a palindrome (749153351947).

The spelling of 514113040532 in words is "five hundred fourteen billion, one hundred thirteen million, forty thousand, five hundred thirty-two".