Search a number
-
+
242011411400 = 235211110005187
BaseRepresentation
bin1110000101100100000…
…0010001001111001000
3212010200012011111201102
43201121000101033020
512431114410131100
6303102320240532
723325161024663
oct3413100211710
9763605144642
10242011411400
1193700150410
123aaa1170148
1319a8b012ba5
14b9db8786da
156466824cd5
hex38590113c8

242011411400 has 48 divisors (see below), whose sum is σ = 613828949040. Its totient is φ = 88004148800.

The previous prime is 242011411387. The next prime is 242011411403. The reversal of 242011411400 is 4114110242.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (242011411403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55000394 + ... + 55004793.

It is an arithmetic number, because the mean of its divisors is an integer number (12788103105).

Almost surely, 2242011411400 is an apocalyptic number.

242011411400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242011411400 is an abundant number, since it is smaller than the sum of its proper divisors (371817537640).

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

242011411400 is a wasteful number, since it uses less digits than its factorization.

242011411400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110005214 (or 110005205 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 242011411400 its reverse (4114110242), we get a palindrome (246125521642).

The spelling of 242011411400 in words is "two hundred forty-two billion, eleven million, four hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 110005187 220010374 440020748 550025935 880041496 1100051870 1210057057 2200103740 2420114114 2750129675 4400207480 4840228228 5500259350 6050285285 9680456456 11000518700 12100570570 22001037400 24201141140 30251426425 48402282280 60502852850 121005705700 242011411400