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4019340072 = 2331159833109
BaseRepresentation
bin1110111110010010…
…0100001100101000
3101101010002122001010
43233210210030220
531212422340242
61502500223520
7201413553426
oct35744441450
911333078033
104019340072
1117828a3760
1294209aba0
134c0933647
142a1b4a116
15187ce589c
hexef924328

4019340072 has 128 divisors (see below), whose sum is σ = 11285568000. Its totient is φ = 1182531840.

The previous prime is 4019340071. The next prime is 4019340079. The reversal of 4019340072 is 2700439104.

It is a happy number.

It is a super-2 number, since 2×40193400722 = 32310189228769930368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4019340071) 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, 1291254 + ... + 1294362.

It is an arithmetic number, because the mean of its divisors is an integer number (88168500).

Almost surely, 24019340072 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 4019340072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5642784000).

4019340072 is an abundant number, since it is smaller than the sum of its proper divisors (7266227928).

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

4019340072 is a wasteful number, since it uses less digits than its factorization.

4019340072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3271 (or 3267 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 4019340072 is about 63398.2655283250. The cubic root of 4019340072 is about 1589.9553106383.

Adding to 4019340072 its reverse (2700439104), we get a palindrome (6719779176).

The spelling of 4019340072 in words is "four billion, nineteen million, three hundred forty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 59 66 83 88 118 132 166 177 236 249 264 332 354 472 498 649 664 708 913 996 1298 1416 1826 1947 1992 2596 2739 3109 3652 3894 4897 5192 5478 6218 7304 7788 9327 9794 10956 12436 14691 15576 18654 19588 21912 24872 29382 34199 37308 39176 53867 58764 68398 74616 102597 107734 117528 136796 161601 183431 205194 215468 258047 273592 323202 366862 410388 430936 516094 550293 646404 733724 774141 820776 1032188 1100586 1292808 1467448 1548282 2017741 2064376 2201172 2838517 3096564 4035482 4402344 5677034 6053223 6193128 8070964 8515551 11354068 12106446 15224773 16141928 17031102 22708136 24212892 30449546 34062204 45674319 48425784 60899092 68124408 91348638 121798184 167472503 182697276 334945006 365394552 502417509 669890012 1004835018 1339780024 2009670036 4019340072