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4211444113140 = 2235119765783257
BaseRepresentation
bin111101010010001101101…
…000010101111011110100
3112220121110210002120100210
4331102031220111323310
51023000014143110030
612542413303105420
7613160340213345
oct75221550257364
915817423076323
104211444113140
111384077456410
12580258142270
132471a305a594
14107b9929a0cc
1574838e97bb0
hex3d48da15ef4

4211444113140 has 96 divisors (see below), whose sum is σ = 12996666716544. Its totient is φ = 1010430812160.

The previous prime is 4211444113133. The next prime is 4211444113157. The reversal of 4211444113140 is 413114441124.

It is a super-2 number, since 2×42114441131402 (a number of 26 digits) contains 22 as substring.

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 = 4211444113098 and 4211444113107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32827609 + ... + 32955648.

It is an arithmetic number, because the mean of its divisors is an integer number (135381944964).

Almost surely, 24211444113140 is an apocalyptic number.

It is an amenable number.

4211444113140 is an abundant number, since it is smaller than the sum of its proper divisors (8785222603404).

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

4211444113140 is a wasteful number, since it uses less digits than its factorization.

4211444113140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65783377 (or 65783375 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 4211444113140 its reverse (413114441124), we get a palindrome (4624558554264).

The spelling of 4211444113140 in words is "four trillion, two hundred eleven billion, four hundred forty-four million, one hundred thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 97 110 132 165 194 220 291 330 388 485 582 660 970 1067 1164 1455 1940 2134 2910 3201 4268 5335 5820 6402 10670 12804 16005 21340 32010 64020 65783257 131566514 197349771 263133028 328916285 394699542 657832570 723615827 789399084 986748855 1315665140 1447231654 1973497710 2170847481 2894463308 3618079135 3946995420 4341694962 6380975929 7236158270 8683389924 10854237405 12761951858 14472316540 19142927787 21708474810 25523903716 31904879645 38285855574 43416949620 63809759290 70190735219 76571711148 95714638935 127619518580 140381470438 191429277870 210572205657 280762940876 350953676095 382858555740 421144411314 701907352190 842288822628 1052861028285 1403814704380 2105722056570 4211444113140