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1444421222240 = 25513291679229
BaseRepresentation
bin10101000001001110001…
…101101011111101100000
312010002022012100200201012
4111001032031223331200
5142131133313102430
63023320303400052
7206233050545423
oct25011615537540
95102265320635
101444421222240
11507637140007
121b3b318b3028
13a629293cc69
144dca60579ba
152788cd73695
hex1504e36bf60

1444421222240 has 48 divisors (see below), whose sum is σ = 3412706910480. Its totient is φ = 577724167680.

The previous prime is 1444421222239. The next prime is 1444421222263. The reversal of 1444421222240 is 422221244441.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1444421222197 and 1444421222206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1786946 + ... + 2466174.

It is an arithmetic number, because the mean of its divisors is an integer number (71098060635).

Almost surely, 21444421222240 is an apocalyptic number.

1444421222240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1444421222240 is an abundant number, since it is smaller than the sum of its proper divisors (1968285688240).

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

1444421222240 is a wasteful number, since it uses less digits than its factorization.

1444421222240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692535 (or 692527 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

Adding to 1444421222240 its reverse (422221244441), we get a palindrome (1866642466681).

It can be divided in two parts, 1444421 and 222240, that added together give a palindrome (1666661).

The spelling of 1444421222240 in words is "one trillion, four hundred forty-four billion, four hundred twenty-one million, two hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 13291 26582 53164 66455 106328 132910 212656 265820 425312 531640 679229 1063280 1358458 2126560 2716916 3396145 5433832 6792290 10867664 13584580 21735328 27169160 54338320 108676640 9027632639 18055265278 36110530556 45138163195 72221061112 90276326390 144442122224 180552652780 288884244448 361105305560 722210611120 1444421222240