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144312311400103 = 72116120101218357
BaseRepresentation
bin100000110100000001010100…
…000011101100011010100111
3200220222010022002221012021001
4200310001110003230122213
5122403403103204300403
61230532054410134131
742253135415301400
oct4064012403543247
9626863262835231
10144312311400103
1141a89564631240
1214228839121347
13626a791b5c262
14278ca7888a9a7
1511a3d638d7c1d
hex8340540ec6a7

144312311400103 has 48 divisors (see below), whose sum is σ = 186147054138528. Its totient is φ = 110601681120000.

The previous prime is 144312311400097. The next prime is 144312311400107. The reversal of 144312311400103 is 301004113213441.

It is a de Polignac number, because none of the positive numbers 2k-144312311400103 is a prime.

It is a super-2 number, since 2×1443123114001032 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144312311400107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 660791601 + ... + 661009957.

It is an arithmetic number, because the mean of its divisors is an integer number (3878063627886).

Almost surely, 2144312311400103 is an apocalyptic number.

144312311400103 is a deficient number, since it is larger than the sum of its proper divisors (41834742738425).

144312311400103 is a wasteful number, since it uses less digits than its factorization.

144312311400103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238544 (or 238537 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 144312311400103 its reverse (301004113213441), we get a palindrome (445316424613544).

The spelling of 144312311400103 in words is "one hundred forty-four trillion, three hundred twelve billion, three hundred eleven million, four hundred thousand, one hundred three".

Divisors: 1 7 11 49 61 77 427 539 671 2989 4697 20101 32879 140707 218357 221111 984949 1226161 1528499 1547777 2401927 8583127 10699493 10834439 13319777 13487771 16813489 60081889 93238439 94414397 117694423 146517547 652669073 660900779 1025622829 4389194057 7179359803 30724358399 48281134627 215070508793 267740837477 337967942389 1874185862339 2365775596723 2945149212247 13119301036373 20616044485729 144312311400103