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1306243350144 = 27327115970307
BaseRepresentation
bin10011000000100010001…
…010111011111010000000
311121212122100022111112200
4103000202022323322000
5132400141244201034
62440025132153200
7163241633164365
oct23004212737200
94555570274480
101306243350144
11463a7a3545a7
121911aa308800
1396241717b75
144731882246c
1523ea20cba99
hex130222bbe80

1306243350144 has 96 divisors (see below), whose sum is σ = 3811793113440. Its totient is φ = 429281825280.

The previous prime is 1306243350127. The next prime is 1306243350149. The reversal of 1306243350144 is 4410533426031.

1306243350144 is a `hidden beast` number, since 1 + 30 + 6 + 2 + 433 + 50 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1306243350099 and 1306243350108.

It is not an unprimeable number, because it can be changed into a prime (1306243350149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7903362 + ... + 8066945.

It is an arithmetic number, because the mean of its divisors is an integer number (39706178265).

Almost surely, 21306243350144 is an apocalyptic number.

It is an amenable number.

1306243350144 is an abundant number, since it is smaller than the sum of its proper divisors (2505549763296).

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

1306243350144 is a wasteful number, since it uses less digits than its factorization.

1306243350144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15970398 (or 15970383 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 1306243350144 its reverse (4410533426031), we get a palindrome (5716776776175).

The spelling of 1306243350144 in words is "one trillion, three hundred six billion, two hundred forty-three million, three hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 96 128 142 144 192 213 284 288 384 426 568 576 639 852 1136 1152 1278 1704 2272 2556 3408 4544 5112 6816 9088 10224 13632 20448 27264 40896 81792 15970307 31940614 47910921 63881228 95821842 127762456 143732763 191643684 255524912 287465526 383287368 511049824 574931052 766574736 1022099648 1133891797 1149862104 1533149472 2044199296 2267783594 2299724208 3066298944 3401675391 4535567188 4599448416 6132597888 6803350782 9071134376 9198896832 10205026173 13606701564 18142268752 18397793664 20410052346 27213403128 36284537504 40820104692 54426806256 72569075008 81640209384 108853612512 145138150016 163280418768 217707225024 326560837536 435414450048 653121675072 1306243350144