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144504145352532 = 223721180720814377
BaseRepresentation
bin100000110110110011111110…
…010000001001011101010100
3200221122110110100100200102010
4200312303332100021131110
5122420023442202240112
61231200142105344220
742303036301060500
oct4066637620113524
9627573410320363
10144504145352532
1142052955921a99
1214259a55a98070
1362828b440b004
1427980761dd300
1511a8d3eeb263c
hex836cfe409754

144504145352532 has 72 divisors (see below), whose sum is σ = 392258775976704. Its totient is φ = 41283399873408.

The previous prime is 144504145352467. The next prime is 144504145352569. The reversal of 144504145352532 is 235253541405441.

It is a happy number.

It is a super-2 number, since 2×1445041453525322 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3464673 + ... + 17349704.

It is an arithmetic number, because the mean of its divisors is an integer number (5448038555232).

Almost surely, 2144504145352532 is an apocalyptic number.

144504145352532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144504145352532 is an abundant number, since it is smaller than the sum of its proper divisors (247754630624172).

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

144504145352532 is a wasteful number, since it uses less digits than its factorization.

144504145352532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20826205 (or 20826196 counting only the distinct ones).

The product of its (nonzero) digits is 5760000, while the sum is 48.

Adding to 144504145352532 its reverse (235253541405441), we get a palindrome (379757686757973).

The spelling of 144504145352532 in words is "one hundred forty-four trillion, five hundred four billion, one hundred forty-five million, three hundred fifty-two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 11807 23614 35421 47228 70842 82649 141684 165298 247947 330596 495894 578543 991788 1157086 1735629 2314172 3471258 6942516 20814377 41628754 62443131 83257508 124886262 145700639 249772524 291401278 437101917 582802556 874203834 1019904473 1748407668 2039808946 3059713419 4079617892 6119426838 12238853676 245755349239 491510698478 737266047717 983021396956 1474532095434 1720287444673 2949064190868 3440574889346 5160862334019 6881149778692 10321724668038 12042012112711 20643449336076 24084024225422 36126036338133 48168048450844 72252072676266 144504145352532