Search a number
-
+
142041024400 = 24521144577243
BaseRepresentation
bin1000010001001001001…
…1100000011110010000
3111120122002020122212111
42010102103200132100
54311400000240100
6145130332035104
713155623533522
oct2042223403620
9446562218774
10142041024400
115526a500a70
1223641302a94
13105186a1242
146c36725a12
153a64ed96ba
hex21124e0790

142041024400 has 120 divisors (see below), whose sum is σ = 372411548064. Its totient is φ = 51632563200.

The previous prime is 142041024397. The next prime is 142041024451. The reversal of 142041024400 is 4420140241.

It is a super-2 number, since 2×1420410244002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19607179 + ... + 19614421.

Almost surely, 2142041024400 is an apocalyptic number.

142041024400 is a gapful number since it is divisible by the number (10) 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 142041024400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186205774032).

142041024400 is an abundant number, since it is smaller than the sum of its proper divisors (230370523664).

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

142041024400 is a wasteful number, since it uses less digits than its factorization.

142041024400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11729 (or 11718 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 142041024400 its reverse (4420140241), we get a palindrome (146461164641).

The spelling of 142041024400 in words is "one hundred forty-two billion, forty-one million, twenty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 4457 7243 8914 14486 17828 22285 28972 35656 36215 44570 49027 57944 71312 72430 79673 89140 98054 111425 115888 144860 159346 178280 181075 196108 222850 245135 289720 318692 356560 362150 392216 398365 445700 490270 579440 637384 724300 784432 796730 891400 980540 1225675 1274768 1448600 1593460 1782800 1961080 1991825 2451350 2897200 3186920 3922160 3983650 4902700 6373840 7967300 9805400 15934600 19610800 31869200 32282051 64564102 129128204 161410255 258256408 322820510 355102561 516512816 645641020 710205122 807051275 1291282040 1420410244 1614102550 1775512805 2582564080 2840820488 3228205100 3551025610 5681640976 6456410200 7102051220 8877564025 12912820400 14204102440 17755128050 28408204880 35510256100 71020512200 142041024400