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144311011413000 = 23353233112063561
BaseRepresentation
bin100000110100000000000110…
…100100101000110000001000
3200220221222221111210000012120
4200310000012210220300020
5122403342422410204000
61230531321411011240
742253061251503465
oct4064000644506010
9626858844700176
10144311011413000
1141a88a57842733
1214228535899b20
13626a61572a113
14278c993d7066c
1511a3cd96eb6a0
hex834006928c08

144311011413000 has 128 divisors (see below), whose sum is σ = 450269888739840. Its totient is φ = 38481266880000.

The previous prime is 144311011412899. The next prime is 144311011413007. The reversal of 144311011413000 is 314110113441.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (144311011413007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68901220 + ... + 70964780.

It is an arithmetic number, because the mean of its divisors is an integer number (3517733505780).

Almost surely, 2144311011413000 is an apocalyptic number.

144311011413000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144311011413000 is an abundant number, since it is smaller than the sum of its proper divisors (305958877326840).

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

144311011413000 is a wasteful number, since it uses less digits than its factorization.

144311011413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086896 (or 2086882 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 144311011413000 its reverse (314110113441), we get a palindrome (144625121526441).

The spelling of 144311011413000 in words is "one hundred forty-four trillion, three hundred eleven billion, eleven million, four hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 23311 46622 69933 93244 116555 139866 186488 233110 279732 349665 466220 559464 582775 699330 932440 1165550 1398660 1748325 2063561 2331100 2797320 2913875 3496650 4127122 4662200 5827750 6190683 6993300 8254244 8741625 10317805 11655500 12381366 13986600 16508488 17483250 20635610 23311000 24762732 30953415 34966500 41271220 49525464 51589025 61906830 69933000 82542440 103178050 123813660 154767075 206356100 247627320 257945125 309534150 412712200 515890250 619068300 773835375 1031780500 1238136600 1547670750 2063561000 3095341500 6190683000 48103670471 96207340942 144311011413 192414681884 240518352355 288622022826 384829363768 481036704710 577244045652 721555057065 962073409420 1154488091304 1202591761775 1443110114130 1924146818840 2405183523550 2886220228260 3607775285325 4810367047100 5772440456520 6012958808875 7215550570650 9620734094200 12025917617750 14431101141300 18038876426625 24051835235500 28862202282600 36077752853250 48103670471000 72155505706500 144311011413000