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144864412 = 227111773379
BaseRepresentation
bin10001010001001…
…11010010011100
3101002120212121121
420220213102130
5244041130122
622212540324
73406220140
oct1050472234
9332525547
10144864412
1174854860
12406216a4
13240214b4
141534d220
15cab7bc7
hex8a2749c

144864412 has 96 divisors (see below), whose sum is σ = 340139520. Its totient is φ = 52254720.

The previous prime is 144864409. The next prime is 144864427. The reversal of 144864412 is 214468441.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 382039 + ... + 382417.

It is an arithmetic number, because the mean of its divisors is an integer number (3543120).

Almost surely, 2144864412 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 144864412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170069760).

144864412 is an abundant number, since it is smaller than the sum of its proper divisors (195275108).

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

144864412 is a wasteful number, since it uses less digits than its factorization.

144864412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 489 counting only the distinct ones).

The product of its digits is 24576, while the sum is 34.

The square root of 144864412 is about 12035.9632767801. The cubic root of 144864412 is about 525.1949836593.

The spelling of 144864412 in words is "one hundred forty-four million, eight hundred sixty-four thousand, four hundred twelve".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 68 73 77 119 146 154 187 238 292 308 374 379 476 511 748 758 803 1022 1241 1309 1516 1606 2044 2482 2618 2653 3212 4169 4964 5236 5306 5621 6443 8338 8687 10612 11242 12886 13651 16676 17374 22484 25772 27302 27667 29183 34748 45101 54604 55334 58366 70873 90202 95557 110668 116732 141746 180404 191114 193669 283492 304337 382228 387338 470339 496111 608674 774676 940678 992222 1217348 1881356 1984444 2130359 3292373 4260718 5173729 6584746 8521436 10347458 13169492 20694916 36216103 72432206 144864412