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4145055420 = 2235119836389
BaseRepresentation
bin1111011100010000…
…1000011010111100
3101200212122122002010
43313010020122330
531442113233140
61523150531220
7204501250452
oct36704103274
911625578063
104145055420
111837859540
12978206b10
135109abb1c
142b47129d2
15193d79880
hexf71086bc

4145055420 has 96 divisors (see below), whose sum is σ = 12676124160. Its totient is φ = 1003682560.

The previous prime is 4145055419. The next prime is 4145055449. The reversal of 4145055420 is 245505414.

4145055420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 645586 + ... + 651974.

It is an arithmetic number, because the mean of its divisors is an integer number (132042960).

Almost surely, 24145055420 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 4145055420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6338062080).

4145055420 is an abundant number, since it is smaller than the sum of its proper divisors (8531068740).

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

4145055420 is a wasteful number, since it uses less digits than its factorization.

4145055420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7395 (or 7393 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The square root of 4145055420 is about 64382.1048118186. The cubic root of 4145055420 is about 1606.3620933042.

The spelling of 4145055420 in words is "four billion, one hundred forty-five million, fifty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 983 1966 2949 3932 4915 5898 6389 9830 10813 11796 12778 14745 19167 19660 21626 25556 29490 31945 32439 38334 43252 54065 58980 63890 64878 70279 76668 95835 108130 127780 129756 140558 162195 191670 210837 216260 281116 324390 351395 383340 421674 648780 702790 843348 1054185 1405580 2108370 4216740 6280387 12560774 18841161 25121548 31401935 37682322 62803870 69084257 75364644 94205805 125607740 138168514 188411610 207252771 276337028 345421285 376823220 414505542 690842570 829011084 1036263855 1381685140 2072527710 4145055420