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4070950416 = 24321324092
BaseRepresentation
bin1111001010100101…
…1100011000010000
3101111201012201010100
43302221130120100
531314130403131
61511542332400
7202611336051
oct36251343020
911451181110
104070950416
1117a9a44335
1295742a100
134cb533a00
142a8942728
1518c5dc7e6
hexf2a5c610

4070950416 has 135 divisors (see below), whose sum is σ = 12367043559. Its totient is φ = 1249537536.

The previous prime is 4070950369. The next prime is 4070950423. The reversal of 4070950416 is 6140590704.

The square root of 4070950416 is 63804.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 38192400 + 4032758016 = 6180^2 + 63504^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9953220 + ... + 9953628.

Almost surely, 24070950416 is an apocalyptic number.

4070950416 is the 63804-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4070950416

4070950416 is an abundant number, since it is smaller than the sum of its proper divisors (8296093143).

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

4070950416 is a wasteful number, since it uses less digits than its factorization.

4070950416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The cubic root of 4070950416 is about 1596.7316636987.

Multiplying 4070950416 by its sum of digits (36), we get a square (146554214976 = 3828242).

4070950416 divided by its sum of digits (36) gives a square (113081956 = 106342).

It can be divided in two parts, 40709 and 50416, that added together give a cube (91125 = 453).

The spelling of 4070950416 in words is "four billion, seventy million, nine hundred fifty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 409 468 507 624 676 818 936 1014 1227 1352 1521 1636 1872 2028 2454 2704 3042 3272 3681 4056 4908 5317 6084 6544 7362 8112 9816 10634 12168 14724 15951 19632 21268 24336 29448 31902 42536 47853 58896 63804 69121 85072 95706 127608 138242 167281 191412 207363 255216 276484 334562 382824 414726 501843 552968 622089 669124 765648 829452 1003686 1105936 1244178 1338248 1505529 1658904 2007372 2174653 2488356 2676496 3011058 3317808 4014744 4349306 4976712 6022116 6523959 8029488 8698612 9953424 12044232 13047918 17397224 19571877 24088464 26095836 28270489 34794448 39143754 52191672 56540978 78287508 84811467 104383344 113081956 156575016 169622934 226163912 254434401 313150032 339245868 452327824 508868802 678491736 1017737604 1356983472 2035475208 4070950416