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144394192224 = 25321074685689
BaseRepresentation
bin1000011001111010010…
…0001000010101100000
3111210201002010222021100
42012132210020111200
54331204403122344
6150200032354400
713301136245232
oct2063644102540
9453632128240
10144394192224
1156267836867
1223b993a5a00
1310802070639
146dbb074252
153b518ae569
hex219e908560

144394192224 has 72 divisors (see below), whose sum is σ = 414458651880. Its totient is φ = 47681561088.

The previous prime is 144394192219. The next prime is 144394192231. The reversal of 144394192224 is 422291493441.

144394192224 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 9 + 419 + 2 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 144394192224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2312029 + ... + 2373660.

It is an arithmetic number, because the mean of its divisors is an integer number (5756370165).

Almost surely, 2144394192224 is an apocalyptic number.

It is an amenable number.

144394192224 is an abundant number, since it is smaller than the sum of its proper divisors (270064459656).

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

144394192224 is a wasteful number, since it uses less digits than its factorization.

144394192224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4685812 (or 4685801 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 144394192224 in words is "one hundred forty-four billion, three hundred ninety-four million, one hundred ninety-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 107 144 214 288 321 428 642 856 963 1284 1712 1926 2568 3424 3852 5136 7704 10272 15408 30816 4685689 9371378 14057067 18742756 28114134 37485512 42171201 56228268 74971024 84342402 112456536 149942048 168684804 224913072 337369608 449826144 501368723 674739216 1002737446 1349478432 1504106169 2005474892 3008212338 4010949784 4512318507 6016424676 8021899568 9024637014 12032849352 16043799136 18049274028 24065698704 36098548056 48131397408 72197096112 144394192224