Search a number
-
+
4070149488 = 2432972111381
BaseRepresentation
bin1111001010011001…
…1000110101110000
3101111122201000110100
43302212120311300
531313424240423
61511513232400
7202601462016
oct36246306560
911448630410
104070149488
1117a9547609
12957102700
134cb3132a2
142a87b48b6
1518c4d0343
hexf2998d70

4070149488 has 120 divisors (see below), whose sum is σ = 11571110096. Its totient is φ = 1335398400.

The previous prime is 4070149487. The next prime is 4070149493. The reversal of 4070149488 is 8849410704.

4070149488 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40701494882 = 33132233709333324288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4070149481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2946558 + ... + 2947938.

Almost surely, 24070149488 is an apocalyptic number.

4070149488 is a gapful number since it is divisible by the number (48) 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 4070149488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5785555048).

4070149488 is an abundant number, since it is smaller than the sum of its proper divisors (7500960608).

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

4070149488 is a wasteful number, since it uses less digits than its factorization.

4070149488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1703 (or 1694 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 4070149488 is about 63797.7232195633. The cubic root of 4070149488 is about 1596.6269419634.

The spelling of 4070149488 in words is "four billion, seventy million, one hundred forty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 97 144 194 211 291 388 422 582 633 776 844 873 1164 1266 1381 1552 1688 1746 1899 2328 2532 2762 3376 3492 3798 4143 4656 5064 5524 6984 7596 8286 10128 11048 12429 13968 15192 16572 20467 22096 24858 30384 33144 40934 49716 61401 66288 81868 99432 122802 133957 163736 184203 198864 245604 267914 291391 327472 368406 401871 491208 535828 582782 736812 803742 874173 982416 1071656 1165564 1205613 1473624 1607484 1748346 2143312 2331128 2411226 2622519 2947248 3214968 3496692 4662256 4822452 5245038 6429936 6993384 9644904 10490076 13986768 19289808 20980152 28264927 41960304 56529854 84794781 113059708 169589562 226119416 254384343 339179124 452238832 508768686 678358248 1017537372 1356716496 2035074744 4070149488