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145003154024240 = 245109151110124517
BaseRepresentation
bin100000111110000100101101…
…011111001010011100110000
3201000102011111010012200212222
4200332010231133022130300
5123001212424412233430
61232221310201140212
742354063221564201
oct4076045537123460
9630364433180788
10145003154024240
1142225546249906
121431a6baa8a668
1362ba97b0669a5
1427b42938d15a8
1511b6ce8a789e5
hex83e12d7ca730

145003154024240 has 80 divisors (see below), whose sum is σ = 342478441018560. Its totient is φ = 57088549094400.

The previous prime is 145003154024189. The next prime is 145003154024257. The reversal of 145003154024240 is 42420451300541.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 145003154024240.

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 15 ways as a sum of consecutive naturals, for example, 53745539 + ... + 56378978.

It is an arithmetic number, because the mean of its divisors is an integer number (4280980512732).

Almost surely, 2145003154024240 is an apocalyptic number.

145003154024240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145003154024240 is an abundant number, since it is smaller than the sum of its proper divisors (197475286994320).

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

145003154024240 is a wasteful number, since it uses less digits than its factorization.

145003154024240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110124790 (or 110124784 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

The spelling of 145003154024240 in words is "one hundred forty-five trillion, three billion, one hundred fifty-four million, twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 109 151 218 302 436 545 604 755 872 1090 1208 1510 1744 2180 2416 3020 4360 6040 8720 12080 16459 32918 65836 82295 131672 164590 263344 329180 658360 1316720 110124517 220249034 440498068 550622585 880996136 1101245170 1761992272 2202490340 4404980680 8809961360 12003572353 16628802067 24007144706 33257604134 48014289412 60017861765 66515208268 83144010335 96028578824 120035723530 133030416536 166288020670 192057157648 240071447060 266060833072 332576041340 480142894120 665152082680 960285788240 1330304165360 1812539425303 3625078850606 7250157701212 9062697126515 14500315402424 18125394253030 29000630804848 36250788506060 72501577012120 145003154024240