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1140148008 = 233331414153
BaseRepresentation
bin100001111110101…
…0100011100101000
32221110101112001000
41003331110130220
54313334214013
6305045155000
740153045446
oct10375243450
92843345030
101140148008
1153564708a
122799bba60
131522999bc
14ab5cdb96
156a166973
hex43f54728

1140148008 has 128 divisors (see below), whose sum is σ = 3349785600. Its totient is φ = 358732800.

The previous prime is 1140148001. The next prime is 1140148057. The reversal of 1140148008 is 8008410411.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1140148001) 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, 272460 + ... + 276612.

It is an arithmetic number, because the mean of its divisors is an integer number (26170200).

Almost surely, 21140148008 is an apocalyptic number.

1140148008 is a gapful number since it is divisible by the number (18) 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 1140148008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674892800).

1140148008 is an abundant number, since it is smaller than the sum of its proper divisors (2209637592).

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

1140148008 is a wasteful number, since it uses less digits than its factorization.

1140148008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4240 (or 4230 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 1140148008 is about 33766.0777704489. The cubic root of 1140148008 is about 1044.6891341227.

Adding to 1140148008 its reverse (8008410411), we get a palindrome (9148558419).

The spelling of 1140148008 in words is "one billion, one hundred forty million, one hundred forty-eight thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 41 54 62 72 82 93 108 123 124 164 186 216 246 248 279 328 369 372 492 558 738 744 837 984 1107 1116 1271 1476 1674 2214 2232 2542 2952 3348 3813 4153 4428 5084 6696 7626 8306 8856 10168 11439 12459 15252 16612 22878 24918 30504 33224 34317 37377 45756 49836 68634 74754 91512 99672 112131 128743 137268 149508 170273 224262 257486 274536 299016 340546 386229 448524 510819 514972 681092 772458 897048 1021638 1029944 1158687 1362184 1532457 1544916 2043276 2317374 3064914 3089832 3476061 4086552 4597371 4634748 5278463 6129828 6952122 9194742 9269496 10556926 12259656 13904244 15835389 18389484 21113852 27808488 31670778 36778968 42227704 47506167 63341556 95012334 126683112 142518501 190024668 285037002 380049336 570074004 1140148008