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11402134003440 = 24325121191306733
BaseRepresentation
bin1010010111101100010000…
…1001011001111011110000
31111101000220022201122200200
42211323010021121323300
52443303032301102230
640130022410515200
72254530336622605
oct245730411317360
944330808648620
1011402134003440
1136a6688434714
121341987735b00
136492a7bc750b
142b5c1ad166ac
1514b8e05d5160
hexa5ec4259ef0

11402134003440 has 120 divisors (see below), whose sum is σ = 38295355681440. Its totient is φ = 3040315848192.

The previous prime is 11402134003427. The next prime is 11402134003459. The reversal of 11402134003440 is 4430043120411.

11402134003440 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 213 + 4 + 0 + 0 + 3 + 440 = 666.

11402134003440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8072314 + ... + 9379046.

It is an arithmetic number, because the mean of its divisors is an integer number (319127964012).

Almost surely, 211402134003440 is an apocalyptic number.

11402134003440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11402134003440 is an abundant number, since it is smaller than the sum of its proper divisors (26893221678000).

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

11402134003440 is a wasteful number, since it uses less digits than its factorization.

11402134003440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318871 (or 1318862 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 11402134003440 its reverse (4430043120411), we get a palindrome (15832177123851).

The spelling of 11402134003440 in words is "eleven trillion, four hundred two billion, one hundred thirty-four million, three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 12119 24238 36357 48476 60595 72714 96952 109071 121190 145428 181785 193904 218142 242380 290856 363570 436284 484760 545355 581712 727140 872568 969520 1090710 1306733 1454280 1745136 2181420 2613466 2908560 3920199 4362840 5226932 6533665 7840398 8725680 10453864 11760597 13067330 15680796 19600995 20907728 23521194 26134660 31361592 39201990 47042388 52269320 58802985 62723184 78403980 94084776 104538640 117605970 156807960 188169552 235211940 313615920 470423880 940847760 15836297227 31672594454 47508891681 63345188908 79181486135 95017783362 126690377816 142526675043 158362972270 190035566724 237544458405 253380755632 285053350086 316725944540 380071133448 475088916810 570106700172 633451889080 712633375215 760142266896 950177833620 1140213400344 1266903778160 1425266750430 1900355667240 2280426800688 2850533500860 3800711334480 5701067001720 11402134003440