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142212864 = 283238397
BaseRepresentation
bin10000111100111…
…11111100000000
3100220121011101010
420132133330000
5242401302424
622040040520
73344534523
oct1036377400
9326534333
10142212864
11733036a2
123b763140
1323603631
1414c5cbba
15c742229
hex879ff00

142212864 has 144 divisors (see below), whose sum is σ = 403828992. Its totient is φ = 44335104.

The previous prime is 142212823. The next prime is 142212883. The reversal of 142212864 is 468212241.

142212864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent 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, 1466064 + ... + 1466160.

It is an arithmetic number, because the mean of its divisors is an integer number (2804368).

Almost surely, 2142212864 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 142212864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201914496).

142212864 is an abundant number, since it is smaller than the sum of its proper divisors (261616128).

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

142212864 is an equidigital number, since it uses as much as digits as its factorization.

142212864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 208 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 142212864 is about 11925.3035181500. The cubic root of 142212864 is about 521.9709030918.

The spelling of 142212864 in words is "one hundred forty-two million, two hundred twelve thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 83 92 96 97 128 138 166 184 192 194 249 256 276 291 332 368 384 388 498 552 582 664 736 768 776 996 1104 1164 1328 1472 1552 1909 1992 2208 2231 2328 2656 2944 3104 3818 3984 4416 4462 4656 5312 5727 5888 6208 6693 7636 7968 8051 8832 8924 9312 10624 11454 12416 13386 15272 15936 16102 17664 17848 18624 21248 22908 24153 24832 26772 30544 31872 32204 35696 37248 45816 48306 53544 61088 63744 64408 71392 74496 91632 96612 107088 122176 128816 142784 183264 185173 193224 214176 244352 257632 285568 366528 370346 386448 428352 488704 515264 555519 571136 733056 740692 772896 856704 1030528 1111038 1466112 1481384 1545792 1713408 2061056 2222076 2962768 3091584 4444152 5925536 6183168 8888304 11851072 17776608 23702144 35553216 47404288 71106432 142212864