Search a number
-
+
10043126402144 = 251131966195267
BaseRepresentation
bin1001001000100101100011…
…1110110100110001100000
31022120010001202011110210212
42102021120332310301200
52304021310324332034
633205425405313252
72054410014615203
oct222113076646140
938503052143725
1010043126402144
1132222a2037290
121162512865828
1357b0a7b4b284
1426a138a0793a
151263a113b2ce
hex92258fb4c60

10043126402144 has 96 divisors (see below), whose sum is σ = 22268238031872. Its totient is φ = 4417293888000.

The previous prime is 10043126402077. The next prime is 10043126402201. The reversal of 10043126402144 is 44120462134001.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 10043126402144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105373199 + ... + 105468465.

It is an arithmetic number, because the mean of its divisors is an integer number (231960812832).

Almost surely, 210043126402144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10043126402144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11134119015936).

10043126402144 is an abundant number, since it is smaller than the sum of its proper divisors (12225111629728).

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

10043126402144 is a wasteful number, since it uses less digits than its factorization.

10043126402144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104980 (or 104972 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 10043126402144 its reverse (44120462134001), we get a palindrome (54163588536145).

The spelling of 10043126402144 in words is "ten trillion, forty-three billion, one hundred twenty-six million, four hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 124 176 248 341 352 496 682 992 1364 2728 5456 9661 10912 19322 38644 77288 95267 106271 154576 190534 212542 299491 309152 381068 425084 598982 762136 850168 1047937 1197964 1524272 1700336 2095874 2395928 2953277 3048544 3294401 3400672 4191748 4791856 5906554 6588802 8383496 9583712 11813108 13177604 16766992 23626216 26355208 32486047 33533984 47252432 52710416 64972094 94504864 105420832 129944188 259888376 519776752 920374487 1039553504 1840748974 3681497948 7362995896 10124119357 14725991792 20248238714 28531609097 29451983584 40496477428 57063218194 80992954856 114126436388 161985909712 228252872776 313847700067 323971819424 456505745552 627695400134 913011491104 1255390800268 2510781600536 5021563201072 10043126402144