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3144695808 = 2143137467
BaseRepresentation
bin1011101101110000…
…0100000000000000
322010011022002200010
42323130010000000
522420020231213
61240013424520
7140633321232
oct27334040000
98104262603
103144695808
11137410a561
1273919b140
133b1677067
1421b910252
15136126ac3
hexbb704000

3144695808 has 120 divisors (see below), whose sum is σ = 8464895712. Its totient is φ = 1038352384.

The previous prime is 3144695789. The next prime is 3144695821. The reversal of 3144695808 is 8085964413.

It is a super-2 number, since 2×31446958082 = 19778223449705545728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6733591 + ... + 6734057.

Almost surely, 23144695808 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 3144695808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4232447856).

3144695808 is an abundant number, since it is smaller than the sum of its proper divisors (5320199904).

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

3144695808 is an equidigital number, since it uses as much as digits as its factorization.

3144695808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 3144695808 is about 56077.5873946089. The cubic root of 3144695808 is about 1465.0739529427.

The spelling of 3144695808 in words is "three billion, one hundred forty-four million, six hundred ninety-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 137 192 256 274 384 411 467 512 548 768 822 934 1024 1096 1401 1536 1644 1868 2048 2192 2802 3072 3288 3736 4096 4384 5604 6144 6576 7472 8192 8768 11208 12288 13152 14944 16384 17536 22416 24576 26304 29888 35072 44832 49152 52608 59776 63979 70144 89664 105216 119552 127958 140288 179328 191937 210432 239104 255916 280576 358656 383874 420864 478208 511832 561152 717312 767748 841728 956416 1023664 1122304 1434624 1535496 1683456 1912832 2047328 2244608 2869248 3070992 3366912 3825664 4094656 5738496 6141984 6733824 7651328 8189312 11476992 12283968 16378624 22953984 24567936 32757248 49135872 65514496 98271744 131028992 196543488 262057984 393086976 524115968 786173952 1048231936 1572347904 3144695808