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514004140222140 = 223576911140098401
BaseRepresentation
bin111010011011110111110101…
…0001100001110011010111100
32111101221022112022001200020210
41310313233222030032122330
51014332420434344102030
65021110124152112420
7213160400521665651
oct16467575214163274
92441838468050223
10514004140222140
11139860a28105647
1249795542695710
13190a64c82c3809
1490cdd0c6ddc28
153e6566201dbb0
hex1d37bea30e6bc

514004140222140 has 48 divisors (see below), whose sum is σ = 1441083129282720. Its totient is φ = 136889529139200.

The previous prime is 514004140222123. The next prime is 514004140222141. The reversal of 514004140222140 is 41222041400415.

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 = 514004140222098 and 514004140222107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514004140222141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5570003061 + ... + 5570095340.

It is an arithmetic number, because the mean of its divisors is an integer number (30022565193390).

Almost surely, 2514004140222140 is an apocalyptic number.

It is an amenable number.

514004140222140 is an abundant number, since it is smaller than the sum of its proper divisors (927078989060580).

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

514004140222140 is a wasteful number, since it uses less digits than its factorization.

514004140222140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11140099182 (or 11140099180 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 514004140222140 its reverse (41222041400415), we get a palindrome (555226181622555).

The spelling of 514004140222140 in words is "five hundred fourteen trillion, four billion, one hundred forty million, two hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 769 1538 2307 3076 3845 4614 7690 9228 11535 15380 23070 46140 11140098401 22280196802 33420295203 44560393604 55700492005 66840590406 111400984010 133681180812 167101476015 222801968020 334202952030 668405904060 8566735670369 17133471340738 25700207011107 34266942681476 42833678351845 51400414022214 85667356703690 102800828044428 128501035055535 171334713407380 257002070111070 514004140222140