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1141668352 = 29111947227
BaseRepresentation
bin100010000001100…
…0111101000000000
32221120020202120001
41010003013220000
54314231341402
6305141525344
740202010106
oct10403075000
92846222501
101141668352
11536495370
1227a413854
131526aca06
14ab8a7c76
156a367187
hex440c7a00

1141668352 has 160 divisors (see below), whose sum is σ = 2686970880. Its totient is φ = 479047680.

The previous prime is 1141668323. The next prime is 1141668401. The reversal of 1141668352 is 2538661411.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5029263 + ... + 5029489.

It is an arithmetic number, because the mean of its divisors is an integer number (16793568).

Almost surely, 21141668352 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 1141668352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343485440).

1141668352 is an abundant number, since it is smaller than the sum of its proper divisors (1545302528).

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

1141668352 is a wasteful number, since it uses less digits than its factorization.

1141668352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 306 counting only the distinct ones).

The product of its digits is 34560, while the sum is 37.

The square root of 1141668352 is about 33788.5831605884. The cubic root of 1141668352 is about 1045.1532789516.

The spelling of 1141668352 in words is "one billion, one hundred forty-one million, six hundred sixty-eight thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 47 64 76 88 94 128 152 176 188 209 227 256 304 352 376 418 454 512 517 608 704 752 836 893 908 1034 1216 1408 1504 1672 1786 1816 2068 2432 2497 2816 3008 3344 3572 3632 4136 4313 4864 4994 5632 6016 6688 7144 7264 8272 8626 9728 9823 9988 10669 12032 13376 14288 14528 16544 17252 19646 19976 21338 24064 26752 28576 29056 33088 34504 39292 39952 42676 47443 53504 57152 58112 66176 69008 78584 79904 85352 94886 107008 114304 116224 117359 132352 138016 157168 159808 170704 189772 202711 228608 234718 264704 276032 314336 319616 341408 379544 405422 457216 469436 552064 628672 639232 682816 759088 810844 938872 1104128 1257344 1278464 1365632 1518176 1621688 1877744 2208256 2229821 2514688 2731264 3036352 3243376 3755488 4459642 5029376 5462528 6072704 6486752 7510976 8919284 12145408 12973504 15021952 17838568 24290816 25947008 30043904 35677136 51894016 60087808 71354272 103788032 142708544 285417088 570834176 1141668352