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2143400448 = 29371631223
BaseRepresentation
bin111111111000001…
…1011001000000000
312112101012000122210
41333300123020000
513342202303243
6552404302120
7104054413620
oct17760331000
95471160583
102143400448
119aa991532
124b99a1940
132820a53b7
14164946880
15c828b933
hex7fc1b200

2143400448 has 160 divisors (see below), whose sum is σ = 6571293696. Its totient is φ = 608145408.

The previous prime is 2143400437. The next prime is 2143400459. The reversal of 2143400448 is 8440043412.

It is an interprime number because it is at equal distance from previous prime (2143400437) and next prime (2143400459).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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, 1751965 + ... + 1753187.

Almost surely, 22143400448 is an apocalyptic number.

2143400448 is a gapful number since it is divisible by the number (28) 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 2143400448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3285646848).

2143400448 is an abundant number, since it is smaller than the sum of its proper divisors (4427893248).

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

2143400448 is a wasteful number, since it uses less digits than its factorization.

2143400448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 2143400448 is about 46296.8729829564. The cubic root of 2143400448 is about 1289.3409385063.

The spelling of 2143400448 in words is "two billion, one hundred forty-three million, four hundred thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 163 168 192 224 256 326 336 384 448 489 512 652 672 768 896 978 1141 1223 1304 1344 1536 1792 1956 2282 2446 2608 2688 3423 3584 3669 3912 4564 4892 5216 5376 6846 7338 7824 8561 9128 9784 10432 10752 13692 14676 15648 17122 18256 19568 20864 25683 27384 29352 31296 34244 36512 39136 41728 51366 54768 58704 62592 68488 73024 78272 83456 102732 109536 117408 125184 136976 146048 156544 199349 205464 219072 234816 250368 273952 292096 313088 398698 410928 438144 469632 547904 584192 598047 626176 797396 821856 876288 939264 1095808 1196094 1395443 1594792 1643712 1752576 1878528 2191616 2392188 2790886 3189584 3287424 4186329 4383232 4784376 5581772 6379168 6574848 8372658 9568752 11163544 12758336 13149696 16745316 19137504 22327088 25516672 33490632 38275008 44654176 51033344 66981264 76550016 89308352 102066688 133962528 153100032 178616704 267925056 306200064 357233408 535850112 714466816 1071700224 2143400448