Search a number
-
+
100244031304440 = 23357311443382569
BaseRepresentation
bin10110110010101111100001…
…111000000111001011111000
3111010221020100220021020100110
4112302233201320013023320
5101114344234003220230
6553111250000304320
730054251355044232
oct2662574170071370
9433836326236313
10100244031304440
1129a39289351081
12b2abb6b3120a0
1343c1c827799ca
141aa7ba0a43252
15b8c89d5d64b0
hex5b2be1e072f8

100244031304440 has 64 divisors (see below), whose sum is σ = 304851711664800. Its totient is φ = 26365553436672.

The previous prime is 100244031304337. The next prime is 100244031304471. The reversal of 100244031304440 is 44403130442001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 100244031304398 and 100244031304407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5721682525 + ... + 5721700044.

Almost surely, 2100244031304440 is an apocalyptic number.

100244031304440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100244031304440 is an abundant number, since it is smaller than the sum of its proper divisors (204607680360360).

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

100244031304440 is a wasteful number, since it uses less digits than its factorization.

100244031304440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11443382656 (or 11443382652 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 100244031304440 its reverse (44403130442001), we get a palindrome (144647161746441).

The spelling of 100244031304440 in words is "one hundred trillion, two hundred forty-four billion, thirty-one million, three hundred four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1460 1752 2190 2920 4380 8760 11443382569 22886765138 34330147707 45773530276 57216912845 68660295414 91547060552 114433825690 137320590828 171650738535 228867651380 274641181656 343301477070 457735302760 686602954140 835366927537 1373205908280 1670733855074 2506100782611 3341467710148 4176834637685 5012201565222 6682935420296 8353669275370 10024403130444 12530503913055 16707338550740 20048806260888 25061007826110 33414677101480 50122015652220 100244031304440