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4213345120 = 255113397587
BaseRepresentation
bin1111101100100010…
…1000101101100000
3101212122011002221021
43323020220231200
532112104020440
61534030335224
7206260562005
oct37310505540
911778132837
104213345120
111872361606
1299705a514
13521b9c02a
142bd80b8ac
15199d6884a
hexfb228b60

4213345120 has 96 divisors (see below), whose sum is σ = 10084562208. Its totient is φ = 1663377408.

The previous prime is 4213345061. The next prime is 4213345159. The reversal of 4213345120 is 215433124.

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, 7177467 + ... + 7178053.

It is an arithmetic number, because the mean of its divisors is an integer number (105047523).

Almost surely, 24213345120 is an apocalyptic number.

4213345120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4213345120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5042281104).

4213345120 is an abundant number, since it is smaller than the sum of its proper divisors (5871217088).

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

4213345120 is a wasteful number, since it uses less digits than its factorization.

4213345120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 4213345120 is about 64910.2851634469. The cubic root of 4213345120 is about 1615.1356804985.

Adding to 4213345120 its reverse (215433124), we get a palindrome (4428778244).

The spelling of 4213345120 in words is "four billion, two hundred thirteen million, three hundred forty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 113 160 226 397 452 565 587 794 904 1130 1174 1588 1808 1985 2260 2348 2935 3176 3616 3970 4520 4696 5870 6352 7940 9040 9392 11740 12704 15880 18080 18784 23480 31760 44861 46960 63520 66331 89722 93920 132662 179444 224305 233039 265324 331655 358888 448610 466078 530648 663310 717776 897220 932156 1061296 1165195 1326620 1435552 1794440 1864312 2122592 2330390 2653240 3588880 3728624 4660780 5306480 7177760 7457248 9321560 10612960 18643120 26333407 37286240 52666814 105333628 131667035 210667256 263334070 421334512 526668140 842669024 1053336280 2106672560 4213345120