Search a number
-
+
4331204225000 = 2355213181299
BaseRepresentation
bin111111000001101111111…
…000111010011111101000
3120100001121001212121012022
4333001233320322133220
51031430301240200000
613113421110004012
7624630164320412
oct77015770723750
916301531777168
104331204225000
11141a942963a74
1259b4bb646608
1325557a6329b3
1410d8ba7d99b2
15779e7d65585
hex3f06fe3a7e8

4331204225000 has 96 divisors (see below), whose sum is σ = 10155498444000. Its totient is φ = 1731647400000.

The previous prime is 4331204224987. The next prime is 4331204225003. The reversal of 4331204225000 is 5224021334.

It is not an unprimeable number, because it can be changed into a prime (4331204225003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53234351 + ... + 53315649.

It is an arithmetic number, because the mean of its divisors is an integer number (105786442125).

Almost surely, 24331204225000 is an apocalyptic number.

4331204225000 is a gapful number since it is divisible by the number (40) 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 4331204225000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5077749222000).

4331204225000 is an abundant number, since it is smaller than the sum of its proper divisors (5824294219000).

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

4331204225000 is an equidigital number, since it uses as much as digits as its factorization.

4331204225000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83461 (or 83437 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 4331204225000 its reverse (5224021334), we get a palindrome (4336428246334).

The spelling of 4331204225000 in words is "four trillion, three hundred thirty-one billion, two hundred four million, two hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2131 2500 3125 4262 5000 6250 8524 10655 12500 17048 21310 25000 42620 53275 81299 85240 106550 162598 213100 266375 325196 406495 426200 532750 650392 812990 1065500 1331875 1625980 2032475 2131000 2663750 3251960 4064950 5327500 6659375 8129900 10162375 10655000 13318750 16259800 20324750 26637500 40649500 50811875 53275000 81299000 101623750 173248169 203247500 254059375 346496338 406495000 508118750 692992676 866240845 1016237500 1385985352 1732481690 2032475000 3464963380 4331204225 6929926760 8662408450 17324816900 21656021125 34649633800 43312042250 86624084500 108280105625 173248169000 216560211250 433120422500 541400528125 866240845000 1082801056250 2165602112500 4331204225000