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100054043044000 = 255336136923197
BaseRepresentation
bin10110101111111110100101…
…101100011010100010100000
3111010021001222021211121121221
4112233332211230122202200
5101103241140004402000
6552444105352424424
730034444313345263
oct2657764554324240
9433231867747557
10100054043044000
1129975754993001
12b27b1886a8114
1343aa0956c85a6
141a9c8da49ccda
15b8797e08d61a
hex5affa5b1a8a0

100054043044000 has 96 divisors (see below), whose sum is σ = 245900860457616. Its totient is φ = 40010534323200.

The previous prime is 100054043043863. The next prime is 100054043044009. The reversal of 100054043044000 is 440340450001.

It can be written as a sum of positive squares in 8 ways, for example, as 25386401634064 + 74667641409936 = 5038492^2 + 8641044^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (100054043044009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10990402 + ... + 17913598.

Almost surely, 2100054043044000 is an apocalyptic number.

100054043044000 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 100054043044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122950430228808).

100054043044000 is an abundant number, since it is smaller than the sum of its proper divisors (145846817413616).

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

100054043044000 is an equidigital number, since it uses as much as digits as its factorization.

100054043044000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6926835 (or 6926817 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 100054043044000 its reverse (440340450001), we get a palindrome (100494383494001).

The spelling of 100054043044000 in words is "one hundred trillion, fifty-four billion, forty-three million, forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 3613 4000 7226 14452 18065 28904 36130 57808 72260 90325 115616 144520 180650 289040 361300 451625 578080 722600 903250 1445200 1806500 2890400 3613000 6923197 7226000 13846394 14452000 27692788 34615985 55385576 69231970 110771152 138463940 173079925 221542304 276927880 346159850 553855760 692319700 865399625 1107711520 1384639400 1730799250 2769278800 3461598500 5538557600 6923197000 13846394000 25013510761 27692788000 50027021522 100054043044 125067553805 200108086088 250135107610 400216172176 500270215220 625337769025 800432344352 1000540430440 1250675538050 2001080860880 2501351076100 3126688845125 4002161721760 5002702152200 6253377690250 10005404304400 12506755380500 20010808608800 25013510761000 50027021522000 100054043044000