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1141422404440 = 235414323967723
BaseRepresentation
bin10000100111000010000…
…100111011001101011000
311001010012200121221022011
4100213002010323031120
5122200113113420230
62232210123235304
7145315340233033
oct20470204731530
94033180557264
101141422404440
1140009021059a
12165270078b34
1383835751c66
143d36093a01a
151ea572a5e2a
hex109c213b358

1141422404440 has 128 divisors (see below), whose sum is σ = 2703325363200. Its totient is φ = 433247431680.

The previous prime is 1141422404387. The next prime is 1141422404459. The reversal of 1141422404440 is 444042241411.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 16820419 + ... + 16888141.

It is an arithmetic number, because the mean of its divisors is an integer number (21119729400).

Almost surely, 21141422404440 is an apocalyptic number.

1141422404440 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 1141422404440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351662681600).

1141422404440 is an abundant number, since it is smaller than the sum of its proper divisors (1561902958760).

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

1141422404440 is a wasteful number, since it uses less digits than its factorization.

1141422404440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68057 (or 68053 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 31.

Adding to 1141422404440 its reverse (444042241411), we get a palindrome (1585464645851).

The spelling of 1141422404440 in words is "one trillion, one hundred forty-one billion, four hundred twenty-two million, four hundred four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 43 82 86 164 172 205 215 239 328 344 410 430 478 820 860 956 1195 1640 1720 1763 1912 2390 3526 4780 7052 8815 9560 9799 10277 14104 17630 19598 20554 35260 39196 41108 48995 51385 67723 70520 78392 82216 97990 102770 135446 195980 205540 270892 338615 391960 411080 421357 541784 677230 842714 1354460 1685428 2106785 2708920 2776643 2912089 3370856 4213570 5553286 5824178 8427140 11106572 11648356 13883215 14560445 16185797 16854280 22213144 23296712 27766430 29120890 32371594 55532860 58241780 64743188 80928985 111065720 116483560 119395649 129486376 161857970 238791298 323715940 477582596 596978245 647431880 663617677 695989271 955165192 1193956490 1327235354 1391978542 2387912980 2654470708 2783957084 3318088385 3479946355 4775825960 5308941416 5567914168 6636176770 6959892710 13272353540 13919785420 26544707080 27839570840 28535560111 57071120222 114142240444 142677800555 228284480888 285355601110 570711202220 1141422404440