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11431313234440 = 23511472789198197
BaseRepresentation
bin1010011001011000111101…
…0111010101101000001000
31111110211012212121011122221
42212112033113111220020
52444242312142000230
640151250043023424
72256612412164121
oct246261727255010
944424185534587
1011431313234440
113707aa1341860
12134756b80ab74
1364bc78217288
142b73c834b048
1514c54c13327a
hexa658f5d5a08

11431313234440 has 128 divisors (see below), whose sum is σ = 28666090252800. Its totient is φ = 4066918497280.

The previous prime is 11431313234339. The next prime is 11431313234477. The reversal of 11431313234440 is 4443231313411.

It is a super-2 number, since 2×114313132344402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11431313234396 and 11431313234405.

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, 57577422 + ... + 57775618.

It is an arithmetic number, because the mean of its divisors is an integer number (223953830100).

Almost surely, 211431313234440 is an apocalyptic number.

11431313234440 is a gapful number since it is divisible by the number (10) 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 11431313234440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14333045126400).

11431313234440 is an abundant number, since it is smaller than the sum of its proper divisors (17234777018360).

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

11431313234440 is a wasteful number, since it uses less digits than its factorization.

11431313234440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201055 (or 201051 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

Adding to 11431313234440 its reverse (4443231313411), we get a palindrome (15874544547851).

The spelling of 11431313234440 in words is "eleven trillion, four hundred thirty-one billion, three hundred thirteen million, two hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 47 55 88 94 110 188 220 235 376 440 470 517 940 1034 1880 2068 2585 2789 4136 5170 5578 10340 11156 13945 20680 22312 27890 30679 55780 61358 111560 122716 131083 153395 198197 245432 262166 306790 396394 524332 613580 655415 792788 990985 1048664 1227160 1310830 1441913 1585576 1981970 2180167 2621660 2883826 3963940 4360334 5243320 5767652 7209565 7927880 8720668 9315259 10900835 11535304 14419130 17441336 18630518 21801670 28838260 37261036 43603340 46576295 57676520 74522072 87206680 93152590 102467849 186305180 204935698 372610360 409871396 512339245 552771433 819742792 1024678490 1105542866 2049356980 2211085732 2763857165 4098713960 4422171464 5527714330 6080485763 11055428660 12160971526 22110857320 24321943052 25980257351 30402428815 48643886104 51960514702 60804857630 103921029404 121609715260 129901286755 207842058808 243219430520 259802573510 285782830861 519605147020 571565661722 1039210294040 1143131323444 1428914154305 2286262646888 2857828308610 5715656617220 11431313234440