Search a number
-
+
4214310132120 = 2335113192659191
BaseRepresentation
bin111101010100111000011…
…101010101100110011000
3112220212212112000102021220
4331110320131111212120
51023021401343211440
612544005523532040
7613321351034664
oct75247035254630
915825775012256
104214310132120
111385308225940
12580917b2a020
1324753ba612ba
14107d8bb878a4
15749558c38d0
hex3d538755998

4214310132120 has 64 divisors (see below), whose sum is σ = 13792287709440. Its totient is φ = 1021650940800.

The previous prime is 4214310132103. The next prime is 4214310132139. The reversal of 4214310132120 is 212310134124.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1596328276 + ... + 1596330915.

It is an arithmetic number, because the mean of its divisors is an integer number (215504495460).

Almost surely, 24214310132120 is an apocalyptic number.

4214310132120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4214310132120 is an abundant number, since it is smaller than the sum of its proper divisors (9577977577320).

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

4214310132120 is a wasteful number, since it uses less digits than its factorization.

4214310132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3192659216 (or 3192659212 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 4214310132120 its reverse (212310134124), we get a palindrome (4426620266244).

The spelling of 4214310132120 in words is "four trillion, two hundred fourteen billion, three hundred ten million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 3192659191 6385318382 9577977573 12770636764 15963295955 19155955146 25541273528 31926591910 35119251101 38311910292 47889887865 63853183820 70238502202 76623820584 95779775730 105357753303 127706367640 140477004404 175596255505 191559551460 210715506606 280954008808 351192511010 383119102920 421431013212 526788766515 702385022020 842862026424 1053577533030 1404770044040 2107155066060 4214310132120