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4045334520 = 2335167337599
BaseRepresentation
bin1111000100011110…
…1110011111111000
3101102221000021201110
43301013232133320
531241101201040
61505225320320
7202150530123
oct36107563770
911387007643
104045334520
111796538777
1294a9360a0
134c6135386
142a53953ba
1518a22c980
hexf11ee7f8

4045334520 has 128 divisors (see below), whose sum is σ = 12265344000. Its totient is φ = 1067329536.

The previous prime is 4045334477. The next prime is 4045334543. The reversal of 4045334520 is 254335404.

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, 6753181 + ... + 6753779.

It is an arithmetic number, because the mean of its divisors is an integer number (95823000).

Almost surely, 24045334520 is an apocalyptic number.

4045334520 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 4045334520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6132672000).

4045334520 is an abundant number, since it is smaller than the sum of its proper divisors (8220009480).

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

4045334520 is a wasteful number, since it uses less digits than its factorization.

4045334520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 4045334520 is about 63602.9442714722. The cubic root of 4045334520 is about 1593.3755429996.

Adding to 4045334520 its reverse (254335404), we get a palindrome (4299669924).

The spelling of 4045334520 in words is "four billion, forty-five million, three hundred thirty-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 167 334 337 501 599 668 674 835 1002 1011 1198 1336 1348 1670 1685 1797 2004 2022 2396 2505 2696 2995 3340 3370 3594 4008 4044 4792 5010 5055 5990 6680 6740 7188 8088 8985 10020 10110 11980 13480 14376 17970 20040 20220 23960 35940 40440 56279 71880 100033 112558 168837 200066 201863 225116 281395 300099 337674 400132 403726 450232 500165 562790 600198 605589 675348 800264 807452 844185 1000330 1009315 1125580 1200396 1211178 1350696 1500495 1614904 1688370 2000660 2018630 2251160 2400792 2422356 3000990 3027945 3376740 4001320 4037260 4844712 6001980 6055890 6753480 8074520 12003960 12111780 24223560 33711121 67422242 101133363 134844484 168555605 202266726 269688968 337111210 404533452 505666815 674222420 809066904 1011333630 1348444840 2022667260 4045334520