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144022432532 = 2211171910398387
BaseRepresentation
bin1000011000100001100…
…1111110101100010100
3111202202011121121211212
42012020121332230110
54324424220320112
6150055112320552
713256003322566
oct2061031765424
9452664547755
10144022432532
11560969aa250
1223ab49a3158
13107730390a4
146d83941336
153b2de28522
hex218867eb14

144022432532 has 96 divisors (see below), whose sum is σ = 309426324480. Its totient is φ = 57803742720.

The previous prime is 144022432523. The next prime is 144022432559. The reversal of 144022432532 is 235234220441.

It is a super-2 number, since 2×1440224325322 (a number of 23 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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1414643 + ... + 1513029.

It is an arithmetic number, because the mean of its divisors is an integer number (3223190880).

Almost surely, 2144022432532 is an apocalyptic number.

It is an amenable number.

144022432532 is an abundant number, since it is smaller than the sum of its proper divisors (165403891948).

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

144022432532 is a wasteful number, since it uses less digits than its factorization.

144022432532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98541 (or 98539 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

Adding to 144022432532 its reverse (235234220441), we get a palindrome (379256652973).

The spelling of 144022432532 in words is "one hundred forty-four billion, twenty-two million, four hundred thirty-two thousand, five hundred thirty-two".

Divisors: 1 2 4 11 17 19 22 34 38 44 68 76 103 187 206 209 323 374 412 418 646 748 836 1133 1292 1751 1957 2266 3502 3553 3914 4532 7004 7106 7828 14212 19261 21527 33269 38522 43054 66538 77044 86108 98387 133076 196774 365959 393548 731918 1082257 1463836 1672579 1869353 2164514 3345158 3738706 4329028 6690316 7477412 10133861 18398369 20267722 20562883 31779001 36796738 40535444 41125766 63558002 73593476 82251532 111472471 127116004 172275637 192543359 222944942 344551274 349569011 385086718 445889884 689102548 699138022 770173436 1398276044 1895032007 2117976949 3273237103 3790064014 4235953898 6546474206 7580128028 8471907796 13092948412 36005608133 72011216266 144022432532