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4316214002500 = 225437211232
BaseRepresentation
bin111110110011110010011…
…001110000001101000100
3120021121220101010101201101
4332303302121300031010
51031204101241040000
613102501421305444
7623556543453001
oct76636231601504
916247811111641
104316214002500
11141455030aa34
12598617405284
1325402bb2b15a
1410cc979dc8a8
157741bd32e6a
hex3ecf2670344

4316214002500 has 135 divisors (see below), whose sum is σ = 9709337171457. Its totient is φ = 1678327992000.

The previous prime is 4316214002497. The next prime is 4316214002531. The reversal of 4316214002500 is 52004126134.

The square root of 4316214002500 is 2077550.

It is a perfect power (a square), and thus also a powerful number.

4316214002500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 1433091505924 + 2883122496576 = 1197118^2 + 1697976^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3843466939 + ... + 3843468061.

Almost surely, 24316214002500 is an apocalyptic number.

4316214002500 is the 2077550-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4316214002500

4316214002500 is an abundant number, since it is smaller than the sum of its proper divisors (5393123168957).

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

4316214002500 is an frugal number, since it uses more digits than its factorization.

4316214002500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 4316214002500 its reverse (52004126134), we get a palindrome (4368218128634).

The spelling of 4316214002500 in words is "four trillion, three hundred sixteen billion, two hundred fourteen million, two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 125 148 185 250 370 500 625 740 925 1123 1250 1369 1850 2246 2500 2738 3700 4492 4625 5476 5615 6845 9250 11230 13690 18500 22460 23125 27380 28075 34225 41551 46250 56150 68450 83102 92500 112300 136900 140375 166204 171125 207755 280750 342250 415510 561500 684500 701875 831020 855625 1038775 1261129 1403750 1537387 1711250 2077550 2522258 2807500 3074774 3422500 4155100 5044516 5193875 6149548 6305645 7686935 10387750 12611290 15373870 20775500 25222580 25969375 30747740 31528225 38434675 46661773 51938750 63056450 76869350 93323546 103877500 126112900 153738700 157641125 186647092 192173375 233308865 315282250 384346750 466617730 630564500 768693500 788205625 933235460 960866875 1166544325 1576411250 1726485601 1921733750 2333088650 3152822500 3452971202 3843467500 4666177300 5832721625 6905942404 8632428005 11665443250 17264856010 23330886500 29163608125 34529712020 43162140025 58327216250 86324280050 116654432500 172648560100 215810700125 431621400250 863242800500 1079053500625 2158107001250 4316214002500