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1362014000336 = 241117738237577
BaseRepresentation
bin10011110100011110010…
…111000101010011010000
311211012121002122002001102
4103310132113011103100
5134303401041002321
62521411154523532
7200254655661233
oct23643627052320
94735532562042
101362014000336
11485699439540
1219bb738965a8
139b58bb912b2
1449cc96dd41a
15256683a3c0b
hex13d1e5c54d0

1362014000336 has 160 divisors (see below), whose sum is σ = 3094061753088. Its totient is φ = 573923819520.

The previous prime is 1362014000297. The next prime is 1362014000393. The reversal of 1362014000336 is 6330004102631.

It is a super-2 number, since 2×13620140003362 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1362014000299 and 1362014000308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179752580 + ... + 179760156.

Almost surely, 21362014000336 is an apocalyptic number.

1362014000336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1362014000336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547030876544).

1362014000336 is an abundant number, since it is smaller than the sum of its proper divisors (1732047752752).

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

1362014000336 is a wasteful number, since it uses less digits than its factorization.

1362014000336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8509 (or 8503 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 1362014000336 its reverse (6330004102631), we get a palindrome (7692018102967).

The spelling of 1362014000336 in words is "one trillion, three hundred sixty-two billion, fourteen million, three hundred thirty-six", and thus it is an aban number.

Divisors: 1 2 4 8 11 16 17 22 34 44 68 73 88 136 146 176 187 272 292 374 584 748 803 823 1168 1241 1496 1606 1646 2482 2992 3212 3292 4964 6424 6584 7577 9053 9928 12848 13168 13651 13991 15154 18106 19856 27302 27982 30308 36212 54604 55964 60079 60616 72424 83347 109208 111928 120158 121232 128809 144848 153901 166694 218416 223856 240316 257618 307802 333388 480632 515236 553121 615604 660869 666776 961264 1021343 1030472 1106242 1231208 1321738 1333552 1416899 2042686 2060944 2212484 2462416 2643476 2833798 4085372 4424968 5286952 5667596 6084331 6235871 8170744 8849936 9403057 10573904 11234773 11335192 12168662 12471742 16341488 18806114 22469546 22670384 24337324 24943484 37612228 44939092 48674648 49886968 68594581 75224456 89878184 97349296 99773936 103433627 106009807 137189162 150448912 179756368 206867254 212019614 274378324 413734508 424039228 455218583 548756648 827469016 848078456 910437166 1097513296 1166107877 1654938032 1696156912 1820874332 2332215754 3641748664 4664431508 5007404413 7283497328 7738715911 9328863016 10014808826 15477431822 18657726032 20029617652 30954863644 40059235304 61909727288 80118470608 85125875021 123819454576 170251750042 340503500084 681007000168 1362014000336