Search a number
-
+
143024140400 = 24524373113909
BaseRepresentation
bin1000010100110011100…
…1110011000001110000
3111200011121011010111012
42011030321303001300
54320403134443100
6145412051410052
713222162064111
oct2051471630160
9450147133435
10143024140400
1155724442629
12238765b3928
131064427939b
146ccb11a208
153ac1483135
hex214ce73070

143024140400 has 120 divisors (see below), whose sum is σ = 356426212560. Its totient is φ = 55113246720.

The previous prime is 143024140387. The next prime is 143024140409. The reversal of 143024140400 is 4041420341.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (143024140409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1198646 + ... + 1312554.

It is an arithmetic number, because the mean of its divisors is an integer number (2970218438).

Almost surely, 2143024140400 is an apocalyptic number.

143024140400 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 143024140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178213106280).

143024140400 is an abundant number, since it is smaller than the sum of its proper divisors (213402072160).

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

143024140400 is a wasteful number, since it uses less digits than its factorization.

143024140400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114043 (or 114032 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 143024140400 its reverse (4041420341), we get a palindrome (147065560741).

The spelling of 143024140400 in words is "one hundred forty-three billion, twenty-four million, one hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 73 80 86 100 146 172 200 215 292 344 365 400 430 584 688 730 860 1075 1168 1460 1720 1825 2150 2920 3139 3440 3650 4300 5840 6278 7300 8600 12556 14600 15695 17200 25112 29200 31390 50224 62780 78475 113909 125560 156950 227818 251120 313900 455636 569545 627800 911272 1139090 1255600 1822544 2278180 2847725 4556360 4898087 5695450 8315357 9112720 9796174 11390900 16630714 19592348 22781800 24490435 33261428 39184696 41576785 45563600 48980870 66522856 78369392 83153570 97961740 122452175 133045712 166307140 195923480 207883925 244904350 332614280 357560351 391846960 415767850 489808700 665228560 715120702 831535700 979617400 1430241404 1663071400 1787801755 1959234800 2860482808 3326142800 3575603510 5720965616 7151207020 8939008775 14302414040 17878017550 28604828080 35756035100 71512070200 143024140400