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3142867968 = 21032397859
BaseRepresentation
bin1011101101010100…
…0101110000000000
322010000212020100100
42323111011300000
522414033233333
61235510322400
7140611636242
oct27325056000
98100766310
103142867968
111373081249
12738659400
133b11870b6
1421b596092
15135db5213
hexbb545c00

3142867968 has 132 divisors (see below), whose sum is σ = 9108413080. Its totient is φ = 1043767296.

The previous prime is 3142867967. The next prime is 3142867993. The reversal of 3142867968 is 8697682413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3142867963) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3658323 + ... + 3659181.

Almost surely, 23142867968 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 3142867968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4554206540).

3142867968 is an abundant number, since it is smaller than the sum of its proper divisors (5965545112).

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

3142867968 is a wasteful number, since it uses less digits than its factorization.

3142867968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1261 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 3142867968 is about 56061.2876056196. The cubic root of 3142867968 is about 1464.7900420921.

The spelling of 3142867968 in words is "three billion, one hundred forty-two million, eight hundred sixty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 397 512 576 768 794 859 1024 1152 1191 1536 1588 1718 2304 2382 2577 3072 3176 3436 3573 4608 4764 5154 6352 6872 7146 7731 9216 9528 10308 12704 13744 14292 15462 19056 20616 25408 27488 28584 30924 38112 41232 50816 54976 57168 61848 76224 82464 101632 109952 114336 123696 152448 164928 203264 219904 228672 247392 304896 329856 341023 406528 439808 457344 494784 609792 659712 682046 879616 914688 989568 1023069 1219584 1319424 1364092 1829376 1979136 2046138 2638848 2728184 3069207 3658752 3958272 4092276 5456368 6138414 7916544 8184552 10912736 12276828 16369104 21825472 24553656 32738208 43650944 49107312 65476416 87301888 98214624 130952832 174603776 196429248 261905664 349207552 392858496 523811328 785716992 1047622656 1571433984 3142867968