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144857088 = 2113229271
BaseRepresentation
bin10001010001001…
…01100000000000
3101002120111120100
420220211200000
5244040411323
622212442400
73406156605
oct1050454000
9332514510
10144857088
117484a302
1240619400
132401b06c
141534a6ac
15cab5943
hex8a25800

144857088 has 144 divisors (see below), whose sum is σ = 434397600. Its totient is φ = 46448640.

The previous prime is 144857077. The next prime is 144857093. The reversal of 144857088 is 880758441.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 534393 + ... + 534663.

It is an arithmetic number, because the mean of its divisors is an integer number (3016650).

Almost surely, 2144857088 is an apocalyptic number.

144857088 is a gapful number since it is divisible by the number (18) 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 144857088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217198800).

144857088 is an abundant number, since it is smaller than the sum of its proper divisors (289540512).

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

144857088 is a wasteful number, since it uses less digits than its factorization.

144857088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The square root of 144857088 is about 12035.6590181012. The cubic root of 144857088 is about 525.1861326405.

The spelling of 144857088 in words is "one hundred forty-four million, eight hundred fifty-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 256 261 271 288 348 384 464 512 522 542 576 696 768 813 928 1024 1044 1084 1152 1392 1536 1626 1856 2048 2088 2168 2304 2439 2784 3072 3252 3712 4176 4336 4608 4878 5568 6144 6504 7424 7859 8352 8672 9216 9756 11136 13008 14848 15718 16704 17344 18432 19512 22272 23577 26016 29696 31436 33408 34688 39024 44544 47154 52032 59392 62872 66816 69376 70731 78048 89088 94308 104064 125744 133632 138752 141462 156096 178176 188616 208128 251488 267264 277504 282924 312192 377232 416256 502976 534528 555008 565848 624384 754464 832512 1005952 1131696 1248768 1508928 1665024 2011904 2263392 2497536 3017856 4023808 4526784 4995072 6035712 8047616 9053568 12071424 16095232 18107136 24142848 36214272 48285696 72428544 144857088