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3980143008 = 25342366763
BaseRepresentation
bin1110110100111100…
…0010100110100000
3101021101100012210000
43231033002212200
531122404034013
61454540140000
7200426441322
oct35517024640
911241305700
103980143008
111762761396
12930b37600
134b578b40a
1429a865612
15184651973
hexed3c29a0

3980143008 has 120 divisors (see below), whose sum is σ = 12214607328. Its totient is φ = 1269012096.

The previous prime is 3980142997. The next prime is 3980143039. The reversal of 3980143008 is 8003410893.

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 19 ways as a sum of consecutive naturals, for example, 26235 + ... + 92997.

Almost surely, 23980143008 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 3980143008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6107303664).

3980143008 is an abundant number, since it is smaller than the sum of its proper divisors (8234464320).

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

3980143008 is a wasteful number, since it uses less digits than its factorization.

3980143008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66808 (or 66791 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3980143008 is about 63088.3745867652. The cubic root of 3980143008 is about 1584.7699424941.

The spelling of 3980143008 in words is "three billion, nine hundred eighty million, one hundred forty-three thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 81 92 96 108 138 144 162 184 207 216 276 288 324 368 414 432 552 621 648 736 828 864 1104 1242 1296 1656 1863 2208 2484 2592 3312 3726 4968 6624 7452 9936 14904 19872 29808 59616 66763 133526 200289 267052 400578 534104 600867 801156 1068208 1201734 1535549 1602312 1802601 2136416 2403468 3071098 3204624 3605202 4606647 4806936 5407803 6142196 6409248 7210404 9213294 9613872 10815606 12284392 13819941 14420808 18426588 19227744 21631212 24568784 27639882 28841616 36853176 41459823 43262424 49137568 55279764 57683232 73706352 82919646 86524848 110559528 124379469 147412704 165839292 173049696 221119056 248758938 331678584 442238112 497517876 663357168 995035752 1326714336 1990071504 3980143008