Search a number
-
+
44400140100 = 22325266737393
BaseRepresentation
bin101001010110011101…
…000101111101000100
311020121022200210222100
4221112131011331010
51211412413440400
632221441032100
73131163651411
oct512635057504
9136538623870
1044400140100
11179147a3468
128731625630
134257864264
142212b21108
15124ce4c100
hexa56745f44

44400140100 has 108 divisors (see below), whose sum is σ = 139209455476. Its totient is φ = 11836661760.

The previous prime is 44400140093. The next prime is 44400140107. The reversal of 44400140100 is 104100444.

44400140100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (44400140093) and next prime (44400140107).

It can be written as a sum of positive squares in 6 ways, for example, as 15194013696 + 29206126404 = 123264^2 + 170898^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (44400140107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6002004 + ... + 6009396.

Almost surely, 244400140100 is an apocalyptic number.

It is an amenable number.

44400140100 is an abundant number, since it is smaller than the sum of its proper divisors (94809315376).

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

44400140100 is a wasteful number, since it uses less digits than its factorization.

44400140100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14086 (or 14076 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 44400140100 its reverse (104100444), we get a palindrome (44504240544).

The spelling of 44400140100 in words is "forty-four billion, four hundred million, one hundred forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 6673 7393 13346 14786 20019 22179 26692 29572 33365 36965 40038 44358 60057 66537 66730 73930 80076 88716 100095 110895 120114 133074 133460 147860 166825 184825 200190 221790 240228 266148 300285 332685 333650 369650 400380 443580 500475 554475 600570 665370 667300 739300 1000950 1108950 1201140 1330740 1501425 1663425 2001900 2217900 3002850 3326850 6005700 6653700 49333489 98666978 148000467 197333956 246667445 296000934 444001401 493334890 592001868 740002335 888002802 986669780 1233337225 1480004670 1776005604 2220007005 2466674450 2960009340 3700011675 4440014010 4933348900 7400023350 8880028020 11100035025 14800046700 22200070050 44400140100