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4145530250420 = 2251329652184313
BaseRepresentation
bin111100010100110100110…
…110111010010010110100
3112200022100010112102001222
4330110310312322102310
51020410021221003140
612452232540205512
7605335050504356
oct74246466722264
915608303472058
104145530250420
1113591228307a9
1256b521839898
13240bca333350
1410490521b0d6
1572c7c4745b5
hex3c534dba4b4

4145530250420 has 96 divisors (see below), whose sum is σ = 9700163817120. Its totient is φ = 1477631877120.

The previous prime is 4145530250417. The next prime is 4145530250423. The reversal of 4145530250420 is 240520355414.

It is an interprime number because it is at equal distance from previous prime (4145530250417) and next prime (4145530250423).

It can be written as a sum of positive squares in 16 ways, for example, as 65235289744 + 4080294960676 = 255412^2 + 2019974^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4145530250423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49126184 + ... + 49210496.

It is an arithmetic number, because the mean of its divisors is an integer number (101043373095).

Almost surely, 24145530250420 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 4145530250420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4850081908560).

4145530250420 is an abundant number, since it is smaller than the sum of its proper divisors (5554633566700).

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

4145530250420 is a wasteful number, since it uses less digits than its factorization.

4145530250420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90885 (or 90883 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 35.

The spelling of 4145530250420 in words is "four trillion, one hundred forty-five billion, five hundred thirty million, two hundred fifty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 116 130 145 260 290 377 580 754 1508 1885 3770 6521 7540 13042 26084 32605 65210 84313 84773 130420 168626 169546 189109 337252 339092 378218 421565 423865 756436 843130 847730 945545 1096069 1686260 1695460 1891090 2192138 2445077 2458417 3782180 4384276 4890154 4916834 5480345 9780308 9833668 10960690 12225385 12292085 21921380 24450770 24584170 31786001 48901540 49168340 63572002 127144004 158930005 317860010 549805073 635720020 1099610146 2199220292 2749025365 5498050730 7147465949 10996101460 14294931898 15944347117 28589863796 31888694234 35737329745 63777388468 71474659490 79721735585 142949318980 159443471170 207276512521 318886942340 414553025042 829106050084 1036382562605 2072765125210 4145530250420