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4145725020 = 2235896071279
BaseRepresentation
bin1111011100011010…
…1011111001011100
3101200220220122121010
43313012223321130
531442301200040
61523213135220
7204510036603
oct36706537134
911626818533
104145725020
111838176628
1297848a510
13510b84838
142b4848a3a
15193e5ce80
hexf71abe5c

4145725020 has 96 divisors (see below), whose sum is σ = 11766988800. Its totient is φ = 1090450944.

The previous prime is 4145725013. The next prime is 4145725021. The reversal of 4145725020 is 205275414.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4145725021) 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, 3240741 + ... + 3242019.

It is an arithmetic number, because the mean of its divisors is an integer number (122572800).

Almost surely, 24145725020 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 4145725020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5883494400).

4145725020 is an abundant number, since it is smaller than the sum of its proper divisors (7621263780).

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

4145725020 is a wasteful number, since it uses less digits than its factorization.

4145725020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1987 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 30.

The square root of 4145725020 is about 64387.3048045964. The cubic root of 4145725020 is about 1606.4485868920.

The spelling of 4145725020 in words is "four billion, one hundred forty-five million, seven hundred twenty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 89 178 267 356 445 534 607 890 1068 1214 1279 1335 1780 1821 2428 2558 2670 3035 3642 3837 5116 5340 6070 6395 7284 7674 9105 12140 12790 15348 18210 19185 25580 36420 38370 54023 76740 108046 113831 162069 216092 227662 270115 324138 341493 455324 540230 569155 648276 682986 776353 810345 1080460 1138310 1365972 1552706 1620690 1707465 2276620 2329059 3105412 3241380 3414930 3881765 4658118 6829860 7763530 9316236 11645295 15527060 23290590 46581180 69095417 138190834 207286251 276381668 345477085 414572502 690954170 829145004 1036431255 1381908340 2072862510 4145725020