Search a number
-
+
140225421200 = 24524720113709
BaseRepresentation
bin1000001010011000010…
…1100001111110010000
3111101221112212110111112
42002212011201332100
54244140201434300
6144230233232452
713062626261654
oct2024605417620
9441845773445
10140225421200
115451865a457
1223215262728
13102b94aa117
146b0354aa64
1539aa8ece35
hex20a6161f90

140225421200 has 120 divisors (see below), whose sum is σ = 344323378560. Its totient is φ = 54854668800.

The previous prime is 140225421197. The next prime is 140225421209. The reversal of 140225421200 is 2124522041.

It is not an unprimeable number, because it can be changed into a prime (140225421209) 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, 37804946 + ... + 37808654.

It is an arithmetic number, because the mean of its divisors is an integer number (2869361488).

Almost surely, 2140225421200 is an apocalyptic number.

140225421200 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 140225421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172161689280).

140225421200 is an abundant number, since it is smaller than the sum of its proper divisors (204097957360).

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

140225421200 is a wasteful number, since it uses less digits than its factorization.

140225421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5785 (or 5774 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

Adding to 140225421200 its reverse (2124522041), we get a palindrome (142349943241).

The spelling of 140225421200 in words is "one hundred forty billion, two hundred twenty-five million, four hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 47 50 80 94 100 188 200 235 376 400 470 752 940 1175 1880 2011 2350 3709 3760 4022 4700 7418 8044 9400 10055 14836 16088 18545 18800 20110 29672 32176 37090 40220 50275 59344 74180 80440 92725 94517 100550 148360 160880 174323 185450 189034 201100 296720 348646 370900 378068 402200 472585 697292 741800 756136 804400 871615 945170 1394584 1483600 1512272 1743230 1890340 2362925 2789168 3486460 3780680 4358075 4725850 6972920 7458799 7561360 8716150 9451700 13945840 14917598 17432300 18903400 29835196 34864600 37293995 37806800 59670392 69729200 74587990 119340784 149175980 186469975 298351960 350563553 372939950 596703920 701127106 745879900 1402254212 1491759800 1752817765 2804508424 2983519600 3505635530 5609016848 7011271060 8764088825 14022542120 17528177650 28045084240 35056355300 70112710600 140225421200