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4211221423440 = 243582003213977
BaseRepresentation
bin111101010010000000010…
…110110110010101010000
3112220120220021001202112010
4331102000112312111100
51022444040141022230
612542335230102520
7613151664325263
oct75220026662520
915816807052463
104211221423440
111383a72786339
125801b564aa40
13247168b8a825
14107b7788ccda
157482465a9b0
hex3d4805b6550

4211221423440 has 80 divisors (see below), whose sum is σ = 13055006622528. Its totient is φ = 1122973436928.

The previous prime is 4211221423427. The next prime is 4211221423469. The reversal of 4211221423440 is 443241221124.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 4211221423398 and 4211221423407.

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, 19573732 + ... + 19787708.

Almost surely, 24211221423440 is an apocalyptic number.

4211221423440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4211221423440 is an abundant number, since it is smaller than the sum of its proper divisors (8843785199088).

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

4211221423440 is a wasteful number, since it uses less digits than its factorization.

4211221423440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295996 (or 295990 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 4211221423440 its reverse (443241221124), we get a palindrome (4654462644564).

The spelling of 4211221423440 in words is "four trillion, two hundred eleven billion, two hundred twenty-one million, four hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 82003 164006 213977 246009 328012 410015 427954 492018 641931 656024 820030 855908 984036 1069885 1230045 1283862 1312048 1640060 1711816 1968072 2139770 2460090 2567724 3209655 3280120 3423632 3936144 4279540 4920180 5135448 6419310 6560240 8559080 9840360 10270896 12838620 17118160 19680720 25677240 51354480 17546755931 35093511862 52640267793 70187023724 87733779655 105280535586 140374047448 175467559310 210561071172 263201338965 280748094896 350935118620 421122142344 526402677930 701870237240 842244284688 1052805355860 1403740474480 2105610711720 4211221423440