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14111153221440 = 2635111336283449
BaseRepresentation
bin1100110101011000001001…
…0001100110111101000000
31211222000100112022122112210
43031112002101212331000
53322144120211041230
650002324014222120
72654332350216462
oct315260221467500
954860315278483
1014111153221440
114550563131070
1216baa047b4940
137b48a33472b2
1436adaa886132
151970e4390eb0
hexcd582466f40

14111153221440 has 112 divisors (see below), whose sum is σ = 48875903467200. Its totient is φ = 3420885626880.

The previous prime is 14111153221427. The next prime is 14111153221471. The reversal of 14111153221440 is 4412235111141.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14111153221398 and 14111153221407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 668131165 + ... + 668152284.

Almost surely, 214111153221440 is an apocalyptic number.

14111153221440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14111153221440 is an abundant number, since it is smaller than the sum of its proper divisors (34764750245760).

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

14111153221440 is a wasteful number, since it uses less digits than its factorization.

14111153221440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336283480 (or 1336283470 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

Adding to 14111153221440 its reverse (4412235111141), we get a palindrome (18523388332581).

The spelling of 14111153221440 in words is "fourteen trillion, one hundred eleven billion, one hundred fifty-three million, two hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 10560 1336283449 2672566898 4008850347 5345133796 6681417245 8017700694 10690267592 13362834490 14699117939 16035401388 20044251735 21380535184 26725668980 29398235878 32070802776 40088503470 42761070368 44097353817 53451337960 58796471756 64141605552 73495589695 80177006940 85522140736 88194707634 106902675920 117592943512 128283211104 146991179390 160354013880 176389415268 213805351840 220486769085 235185887024 256566422208 293982358780 320708027760 352778830536 427610703680 440973538170 470371774048 587964717560 641416055520 705557661072 881947076340 940743548096 1175929435120 1282832111040 1411115322144 1763894152680 2351858870240 2822230644288 3527788305360 4703717740480 7055576610720 14111153221440