Search a number
-
+
100441140320000 = 2854627757127
BaseRepresentation
bin10110110101100111000110…
…011111010101011100000000
3111011122002010202122200202002
4112311213012133111130000
5101131111423410220000
6553342004534443132
730104430043040204
oct2665470637253400
9434562122580662
10100441140320000
112a004937240937
12b3221ba8034a8
134407735b638ac
141ab353cbb8b04
15b92a87d4c8d5
hex5b59c67d5700

100441140320000 has 90 divisors (see below), whose sum is σ = 250532219970648. Its totient is φ = 40176456064000.

The previous prime is 100441140319973. The next prime is 100441140320029. The reversal of 100441140320000 is 23041144001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 313718564 + ... + 314038563.

Almost surely, 2100441140320000 is an apocalyptic number.

100441140320000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100441140320000 is an abundant number, since it is smaller than the sum of its proper divisors (150091079650648).

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

100441140320000 is an frugal number, since it uses more digits than its factorization.

100441140320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627757163 (or 627757134 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 100441140320000 its reverse (23041144001), we get a palindrome (100464181464001).

The spelling of 100441140320000 in words is "one hundred trillion, four hundred forty-one billion, one hundred forty million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3200 4000 5000 6400 8000 10000 16000 20000 32000 40000 80000 160000 627757127 1255514254 2511028508 3138785635 5022057016 6277571270 10044114032 12555142540 15693928175 20088228064 25110285080 31387856350 40176456128 50220570160 62775712700 78469640875 80352912256 100441140320 125551425400 156939281750 160705824512 200882280640 251102850800 313878563500 392348204375 401764561280 502205701600 627757127000 784696408750 803529122560 1004411403200 1255514254000 1569392817500 2008822806400 2511028508000 3138785635000 4017645612800 5022057016000 6277571270000 10044114032000 12555142540000 20088228064000 25110285080000 50220570160000 100441140320000