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144748901248 = 2771201134513
BaseRepresentation
bin1000011011001110110…
…1001111001110000000
3111211121210121001120121
42012303231033032000
54332421204314443
6150255143150024
713313004234310
oct2066355171600
9454553531517
10144748901248
1156429a87a16
1224078145314
131085a6b5033
147012209440
153b72ac84ed
hex21b3b4f380

144748901248 has 64 divisors (see below), whose sum is σ = 329839089120. Its totient is φ = 61983129600.

The previous prime is 144748901173. The next prime is 144748901257. The reversal of 144748901248 is 842109847441.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 144748901195 and 144748901204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1008840 + ... + 1143352.

Almost surely, 2144748901248 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 144748901248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164919544560).

144748901248 is an abundant number, since it is smaller than the sum of its proper divisors (185090187872).

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

144748901248 is a wasteful number, since it uses less digits than its factorization.

144748901248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135735 (or 135723 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 52.

The spelling of 144748901248 in words is "one hundred forty-four billion, seven hundred forty-eight million, nine hundred one thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 1201 2402 4804 8407 9608 16814 19216 33628 38432 67256 76864 134512 134513 153728 269024 269026 538048 538052 941591 1076096 1076104 1883182 2152208 3766364 4304416 7532728 8608832 15065456 17217664 30130912 60261824 120523648 161550113 323100226 646200452 1130850791 1292400904 2261701582 2584801808 4523403164 5169603616 9046806328 10339207232 18093612656 20678414464 36187225312 72374450624 144748901248