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126424045000 = 2354113174149
BaseRepresentation
bin111010110111101110…
…1011101010111001000
3110002022201010220120001
41311233131131113020
54032404023420000
6134024534012344
712063622436401
oct1655735352710
9402281126501
10126424045000
1149686094220
12206031a70b4
13bbca093026
1461945b89a8
15344de5146a
hex1d6f75d5c8

126424045000 has 160 divisors (see below), whose sum is σ = 333568224000. Its totient is φ = 44488800000.

The previous prime is 126424044979. The next prime is 126424045001. The reversal of 126424045000 is 540424621.

It is a self number, because there is not a number n which added to its sum of digits gives 126424045000.

It is not an unprimeable number, because it can be changed into a prime (126424045001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1667926 + ... + 1742074.

It is an arithmetic number, because the mean of its divisors is an integer number (2084801400).

Almost surely, 2126424045000 is an apocalyptic number.

126424045000 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 126424045000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166784112000).

126424045000 is an abundant number, since it is smaller than the sum of its proper divisors (207144179000).

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

126424045000 is a wasteful number, since it uses less digits than its factorization.

126424045000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74217 (or 74198 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 126424045000 its reverse (540424621), we get a palindrome (126964469621).

The spelling of 126424045000 in words is "one hundred twenty-six billion, four hundred twenty-four million, forty-five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 31 40 44 50 55 62 88 100 110 124 125 155 200 220 248 250 275 310 341 440 500 550 620 625 682 775 1000 1100 1240 1250 1364 1375 1550 1705 2200 2500 2728 2750 3100 3410 3875 5000 5500 6200 6820 6875 7750 8525 11000 13640 13750 15500 17050 19375 27500 31000 34100 38750 42625 55000 68200 74149 77500 85250 148298 155000 170500 213125 296596 341000 370745 426250 593192 741490 815639 852500 1482980 1631278 1705000 1853725 2298619 2965960 3262556 3707450 4078195 4597238 6525112 7414900 8156390 9194476 9268625 11493095 14829800 16312780 18388952 18537250 20390975 22986190 25284809 32625560 37074500 40781950 45972380 46343125 50569618 57465475 74149000 81563900 91944760 92686250 101139236 101954875 114930950 126424045 163127800 185372500 202278472 203909750 229861900 252848090 287327375 370745000 407819500 459723800 505696180 509774375 574654750 632120225 815639000 1011392360 1019548750 1149309500 1264240450 1436636875 2039097500 2298619000 2528480900 2873273750 3160601125 4078195000 5056961800 5746547500 6321202250 11493095000 12642404500 15803005625 25284809000 31606011250 63212022500 126424045000