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1345323424144 = 24777320397621
BaseRepresentation
bin10011100100111011100…
…001100101100110010000
311202121111220100221210211
4103210323201211212100
5134020210244033034
62510011045533504
7166124240266240
oct23447341454620
94677456327724
101345323424144
11479604000617
12198896114294
1399b2c0181cb
1449184b67b20
1524edce4cd64
hex1393b865990

1345323424144 has 80 divisors (see below), whose sum is σ = 2984638613760. Its totient is φ = 575463375360.

The previous prime is 1345323424139. The next prime is 1345323424169. The reversal of 1345323424144 is 4414243235431.

It is a junction number, because it is equal to n+sod(n) for n = 1345323424097 and 1345323424106.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 176524654 + ... + 176532274.

It is an arithmetic number, because the mean of its divisors is an integer number (37307982672).

Almost surely, 21345323424144 is an apocalyptic number.

1345323424144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1345323424144 is an abundant number, since it is smaller than the sum of its proper divisors (1639315189616).

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

1345323424144 is a wasteful number, since it uses less digits than its factorization.

1345323424144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10448 (or 10442 counting only the distinct ones).

The product of its digits is 552960, while the sum is 40.

Adding to 1345323424144 its reverse (4414243235431), we get a palindrome (5759566659575).

The spelling of 1345323424144 in words is "one trillion, three hundred forty-five billion, three hundred twenty-three million, four hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 773 1546 2039 3092 4078 5411 6184 7621 8156 10822 12368 14273 15242 16312 21644 28546 30484 32624 43288 53347 57092 60968 86576 106694 114184 121936 213388 228368 426776 853552 1576147 3152294 5891033 6304588 11033029 11782066 12609176 15539219 22066058 23564132 25218352 31078438 41237231 44132116 47128264 62156876 82474462 88264232 94256528 108774533 124313752 164948924 176528464 217549066 248627504 329897848 435098132 659795696 870196264 1740392528 12011816287 24023632574 48047265148 84082714009 96094530296 168165428018 192189060592 336330856036 672661712072 1345323424144