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144600002988 = 223710948732429
BaseRepresentation
bin1000011010101011010…
…1001111000110101100
3111211020102102020120020
42012222311033012230
54332120100043423
6150232303522140
713306215513510
oct2065265170654
9454212366506
10144600002988
1156362a28501
12240362b9350
13108358b075c
146dda52a140
153b649b54e3
hex21aad4f1ac

144600002988 has 96 divisors (see below), whose sum is σ = 389948697600. Its totient is φ = 40849940736.

The previous prime is 144600002917. The next prime is 144600003001. The reversal of 144600002988 is 889200006441.

144600002988 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4442758 + ... + 4475186.

It is an arithmetic number, because the mean of its divisors is an integer number (4061965600).

Almost surely, 2144600002988 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 144600002988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194974348800).

144600002988 is an abundant number, since it is smaller than the sum of its proper divisors (245348694612).

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

144600002988 is a wasteful number, since it uses less digits than its factorization.

144600002988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33039 (or 33037 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 144600002988 in words is "one hundred forty-four billion, six hundred million, two thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 109 218 327 436 487 654 763 974 1308 1461 1526 1948 2289 2922 3052 3409 4578 5844 6818 9156 10227 13636 20454 32429 40908 53083 64858 97287 106166 129716 159249 194574 212332 227003 318498 371581 389148 454006 636996 681009 743162 908012 1114743 1362018 1486324 2229486 2724036 3534761 4458972 7069522 10604283 14139044 15792923 21208566 24743327 31585846 42417132 47378769 49486654 63171692 74229981 94757538 98973308 110550461 148459962 189515076 221100922 296919924 331651383 442201844 663302766 1326605532 1721428607 3442857214 5164285821 6885714428 10328571642 12050000249 20657143284 24100000498 36150000747 48200000996 72300001494 144600002988