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4221411040 = 255711342647
BaseRepresentation
bin1111101110011101…
…1001111011100000
3101220012022220022001
43323213121323200
532121140123130
61534515253344
7206416254550
oct37347317340
911805286261
104221411040
111876970660
129998aa254
13523764472
142c090b160
1519a90d6ca
hexfb9d9ee0

4221411040 has 96 divisors (see below), whose sum is σ = 12434010624. Its totient is φ = 1315760640.

The previous prime is 4221411037. The next prime is 4221411109. The reversal of 4221411040 is 401141224.

It is a super-2 number, since 2×42214110402 = 35640622337267763200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4221410999 and 4221411017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159004 + ... + 183643.

It is an arithmetic number, because the mean of its divisors is an integer number (129520944).

Almost surely, 24221411040 is an apocalyptic number.

4221411040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4221411040 is an abundant number, since it is smaller than the sum of its proper divisors (8212599584).

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

4221411040 is a wasteful number, since it uses less digits than its factorization.

4221411040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342680 (or 342672 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 4221411040 is about 64972.3867500648. The cubic root of 4221411040 is about 1616.1656816371.

Adding to 4221411040 its reverse (401141224), we get a palindrome (4622552264).

The spelling of 4221411040 in words is "four billion, two hundred twenty-one million, four hundred eleven thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 140 154 160 176 220 224 280 308 352 385 440 560 616 770 880 1120 1232 1540 1760 2464 3080 6160 12320 342647 685294 1370588 1713235 2398529 2741176 3426470 3769117 4797058 5482352 6852940 7538234 9594116 10964704 11992645 13705880 15076468 18845585 19188232 23985290 26383819 27411760 30152936 37691170 38376464 47970580 52767638 54823520 60305872 75382340 76752928 95941160 105535276 120611744 131919095 150764680 191882320 211070552 263838190 301529360 383764640 422141104 527676380 603058720 844282208 1055352760 2110705520 4221411040