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4214555440 = 24558499007
BaseRepresentation
bin1111101100110101…
…0000001100110000
3101212201102121011221
43323031100030300
532112411233230
61534112314424
7206304062434
oct37315201460
911781377157
104214555440
111873008977
12997542a14
13522203bb4
142bda449c4
1519a00727a
hexfb350330

4214555440 has 40 divisors (see below), whose sum is σ = 9801604800. Its totient is φ = 1685346816.

The previous prime is 4214555419. The next prime is 4214555441. The reversal of 4214555440 is 445554124.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 4214555396 and 4214555405.

It is not an unprimeable number, because it can be changed into a prime (4214555441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 463417 + ... + 472423.

It is an arithmetic number, because the mean of its divisors is an integer number (245040120).

Almost surely, 24214555440 is an apocalyptic number.

4214555440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4214555440 is an abundant number, since it is smaller than the sum of its proper divisors (5587049360).

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

4214555440 is a wasteful number, since it uses less digits than its factorization.

4214555440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14869 (or 14863 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 34.

The square root of 4214555440 is about 64919.6075157575. The cubic root of 4214555440 is about 1615.2903196123.

The spelling of 4214555440 in words is "four billion, two hundred fourteen million, five hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 5849 9007 11698 18014 23396 29245 36028 45035 46792 58490 72056 90070 93584 116980 144112 180140 233960 360280 467920 720560 52681943 105363886 210727772 263409715 421455544 526819430 842911088 1053638860 2107277720 4214555440