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4001151330 = 2345111672689
BaseRepresentation
bin1110111001111100…
…1011100101100010
3101022211212112210000
43232133023211202
531143243320310
61501010320430
7201103140141
oct35637134542
911284775700
104001151330
111773600240
12937b89116
134b9c35787
1429d573758
151864014c0
hexee7cb962

4001151330 has 160 divisors (see below), whose sum is σ = 11811381120. Its totient is φ = 963809280.

The previous prime is 4001151317. The next prime is 4001151353. The reversal of 4001151330 is 331511004.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1486626 + ... + 1489314.

It is an arithmetic number, because the mean of its divisors is an integer number (73821132).

Almost surely, 24001151330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4001151330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5905690560).

4001151330 is an abundant number, since it is smaller than the sum of its proper divisors (7810229790).

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

4001151330 is a wasteful number, since it uses less digits than its factorization.

4001151330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2886 (or 2877 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 4001151330 is about 63254.6546113407. The cubic root of 4001151330 is about 1587.5533392292.

Adding to 4001151330 its reverse (331511004), we get a palindrome (4332662334).

The spelling of 4001151330 in words is "four billion, one million, one hundred fifty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 167 198 270 297 330 334 405 495 501 594 810 835 891 990 1002 1485 1503 1670 1782 1837 2505 2689 2970 3006 3674 4455 4509 5010 5378 5511 7515 8067 8910 9018 9185 11022 13445 13527 15030 16134 16533 18370 22545 24201 26890 27054 27555 29579 33066 40335 45090 48402 49599 55110 59158 67635 72603 80670 82665 88737 99198 121005 135270 145206 147895 148797 165330 177474 217809 242010 247995 266211 295790 297594 363015 435618 443685 449063 495990 532422 726030 743985 798633 887370 898126 1089045 1331055 1347189 1487970 1597266 2178090 2245315 2395899 2662110 2694378 3993165 4041567 4490630 4791798 4939693 6735945 7986330 8083134 9879386 11979495 12124701 13471890 14819079 20207835 23958990 24249402 24698465 29638158 36374103 40415670 44457237 49396930 60623505 72748206 74095395 88914474 121247010 133371711 148190790 181870515 222286185 266743422 363741030 400115133 444572370 666858555 800230266 1333717110 2000575665 4001151330