Search a number
-
+
1049122733120 = 26571142578033
BaseRepresentation
bin11110100010001001001…
…01100111110001000000
310201021222011111211011222
433101010211213301000
5114142100404424440
62121543233054212
7135540145044260
oct17210445476100
93637864454158
101049122733120
11374a264833a0
1214b3b10b7368
1377c16371327
1438ac64577a0
151c4540c02b5
hexf444967c40

1049122733120 has 112 divisors (see below), whose sum is σ = 3114668343168. Its totient is φ = 326999285760.

The previous prime is 1049122733119. The next prime is 1049122733173. The reversal of 1049122733120 is 213372219401.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×10491227331202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21264377 + ... + 21313656.

Almost surely, 21049122733120 is an apocalyptic number.

1049122733120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1049122733120 is an abundant number, since it is smaller than the sum of its proper divisors (2065545610048).

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

1049122733120 is a wasteful number, since it uses less digits than its factorization.

1049122733120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42578068 (or 42578058 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The spelling of 1049122733120 in words is "one trillion, forty-nine billion, one hundred twenty-two million, seven hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 140 154 160 176 220 224 280 308 320 352 385 440 448 560 616 704 770 880 1120 1232 1540 1760 2240 2464 3080 3520 4928 6160 12320 24640 42578033 85156066 170312132 212890165 298046231 340624264 425780330 468358363 596092462 681248528 851560660 936716726 1192184924 1362497056 1490231155 1703121320 1873433452 2341791815 2384369848 2724994112 2980462310 3278508541 3406242640 3746866904 4683583630 4768739696 5960924620 6557017082 6812485280 7493733808 9367167260 9537479392 11921849240 13114034164 13624970560 14987467616 16392542705 18734334520 19074958784 23843698480 26228068328 29974935232 32785085410 37468669040 47687396960 52456136656 65570170820 74937338080 95374793920 104912273312 131140341640 149874676160 209824546624 262280683280 524561366560 1049122733120