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4070840976 = 2436421829
BaseRepresentation
bin1111001010100100…
…0001101010010000
3101111201000011000000
43302221001222100
531314113402401
61511540130000
7202610402016
oct36251015220
911451004000
104070840976
1117a997a094
12957396900
134cb4c5c57
142a89148b6
1518c5ba186
hexf2a41a90

4070840976 has 140 divisors (see below), whose sum is σ = 11867859580. Its totient is φ = 1352090880.

The previous prime is 4070840959. The next prime is 4070840999. The reversal of 4070840976 is 6790480704.

It can be written as a sum of positive squares in 2 ways, for example, as 819104400 + 3251736576 = 28620^2 + 57024^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4910130 + ... + 4910958.

Almost surely, 24070840976 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 4070840976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5933929790).

4070840976 is an abundant number, since it is smaller than the sum of its proper divisors (7797018604).

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

4070840976 is an equidigital number, since it uses as much as digits as its factorization.

4070840976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 4070840976 is about 63803.1423677549. The cubic root of 4070840976 is about 1596.7173551744.

The spelling of 4070840976 in words is "four billion, seventy million, eight hundred forty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 421 432 486 648 729 829 842 972 1263 1296 1458 1658 1684 1944 2487 2526 2916 3316 3368 3789 3888 4974 5052 5832 6632 6736 7461 7578 9948 10104 11367 11664 13264 14922 15156 19896 20208 22383 22734 29844 30312 34101 39792 44766 45468 59688 60624 67149 68202 89532 90936 102303 119376 134298 136404 179064 181872 201447 204606 268596 272808 306909 349009 358128 402894 409212 537192 545616 604341 613818 698018 805788 818424 1047027 1074384 1208682 1227636 1396036 1611576 1636848 2094054 2417364 2455272 2792072 3141081 3223152 4188108 4834728 4910544 5584144 6282162 8376216 9423243 9669456 12564324 16752432 18846486 25128648 28269729 37692972 50257296 56539458 75385944 84809187 113078916 150771888 169618374 226157832 254427561 339236748 452315664 508855122 678473496 1017710244 1356946992 2035420488 4070840976