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144565203690 = 232510719975437
BaseRepresentation
bin1000011010100011000…
…0011111001011101010
3111211010222221020220100
42012220300133023222
54332032143004230
6150225022010230
713305313646025
oct2065060371352
9454128836810
10144565203690
115634531a256
1224026716976
131082b61815b
146dd5a6c1bc
153b618de660
hex21a8c1f2ea

144565203690 has 96 divisors (see below), whose sum is σ = 381293827200. Its totient is φ = 37998018432.

The previous prime is 144565203641. The next prime is 144565203719. The reversal of 144565203690 is 96302565441.

144565203690 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 6 + 520 + 36 + 90 = 666.

It is a super-2 number, since 2×1445652036902 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1878652 + ... + 1954088.

It is an arithmetic number, because the mean of its divisors is an integer number (3971810700).

Almost surely, 2144565203690 is an apocalyptic number.

144565203690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144565203690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190646913600).

144565203690 is an abundant number, since it is smaller than the sum of its proper divisors (236728623510).

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

144565203690 is a wasteful number, since it uses less digits than its factorization.

144565203690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75756 (or 75753 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 144565203690 in words is "one hundred forty-four billion, five hundred sixty-five million, two hundred three thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 107 199 214 321 398 535 597 642 963 995 1070 1194 1605 1791 1926 1990 2985 3210 3582 4815 5970 8955 9630 17910 21293 42586 63879 75437 106465 127758 150874 191637 212930 226311 319395 377185 383274 452622 638790 678933 754370 958185 1131555 1357866 1916370 2263110 3394665 6789330 8071759 15011963 16143518 24215277 30023926 40358795 45035889 48430554 72645831 75059815 80717590 90071778 121076385 135107667 145291662 150119630 225179445 242152770 270215334 363229155 450358890 675538335 726458310 1351076670 1606280041 3212560082 4818840123 8031400205 9637680246 14456520369 16062800410 24094200615 28913040738 48188401230 72282601845 144565203690