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3421114413444 = 22327131516915869
BaseRepresentation
bin110001110010001010010…
…011110011000110000100
3110010001111100022222112200
4301302022103303012010
5422022420242212234
611135345510514500
7502111255465560
oct61621223630604
913101440288480
103421114413444
1110a9982997442
12473050365a30
131ba7c06a21c0
14bb8233926a0
155deceb39d99
hex31c8a4f3184

3421114413444 has 144 divisors (see below), whose sum is σ = 10713955150080. Its totient is φ = 896296492800.

The previous prime is 3421114413439. The next prime is 3421114413473. The reversal of 3421114413444 is 4443144111243.

3421114413444 is a `hidden beast` number, since 34 + 2 + 111 + 441 + 34 + 44 = 666.

It is a super-2 number, since 2×34211144134442 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3421114413399 and 3421114413408.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2963259 + ... + 3952610.

It is an arithmetic number, because the mean of its divisors is an integer number (74402466320).

Almost surely, 23421114413444 is an apocalyptic number.

It is an amenable number.

3421114413444 is an abundant number, since it is smaller than the sum of its proper divisors (7292840736636).

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

3421114413444 is a wasteful number, since it uses less digits than its factorization.

3421114413444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6916050 (or 6916045 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

Adding to 3421114413444 its reverse (4443144111243), we get a palindrome (7864258524687).

The spelling of 3421114413444 in words is "three trillion, four hundred twenty-one billion, one hundred fourteen million, four hundred thirteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 151 156 182 234 252 273 302 364 453 468 546 604 819 906 1057 1092 1359 1638 1812 1963 2114 2718 3171 3276 3926 4228 5436 5889 6342 7852 9513 11778 12684 13741 17667 19026 23556 27482 35334 38052 41223 54964 70668 82446 123669 164892 247338 494676 6915869 13831738 20747607 27663476 41495214 48411083 62242821 82990428 89906297 96822166 124485642 145233249 179812594 193644332 248971284 269718891 290466498 359625188 435699747 539437782 580932996 629344079 809156673 871399494 1044296219 1078875564 1258688158 1618313346 1742798988 1888032237 2088592438 2517376316 3132888657 3236626692 3776064474 4177184876 5664096711 6265777314 7310073533 7552128948 9398665971 11328193422 12531554628 13575850847 14620147066 18797331942 21930220599 22656386844 27151701694 29240294132 37594663884 40727552541 43860441198 54303403388 65790661797 81455105082 87720882396 95030955929 122182657623 131581323594 162910210164 190061911858 244365315246 263162647188 285092867787 380123823716 488730630492 570185735574 855278603361 1140371471148 1710557206722 3421114413444