Search a number
-
+
2044258078104 = 2333115031710493
BaseRepresentation
bin11101101111110111010…
…001101100110110011000
321020102120212020011112000
4131233313101230312120
5231443120031444404
64203041425121000
7300456422650524
oct35576721546630
97212525204460
102044258078104
11718a68433a40
12290235a89160
1311aa07848878
1470d2a790d84
1538298717339
hex1dbf746cd98

2044258078104 has 128 divisors (see below), whose sum is σ = 6207040627200. Its totient is φ = 618240228480.

The previous prime is 2044258078097. The next prime is 2044258078157. The reversal of 2044258078104 is 4018708524402.

2044258078104 is a `hidden beast` number, since 20 + 4 + 42 + 580 + 7 + 8 + 1 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2044258078104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 339882 + ... + 2050374.

It is an arithmetic number, because the mean of its divisors is an integer number (48492504900).

Almost surely, 22044258078104 is an apocalyptic number.

2044258078104 is a gapful number since it is divisible by the number (24) 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 2044258078104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3103520313600).

2044258078104 is an abundant number, since it is smaller than the sum of its proper divisors (4162782549096).

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

2044258078104 is a wasteful number, since it uses less digits than its factorization.

2044258078104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1711022 (or 1711012 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 2044258078104 in words is "two trillion, forty-four billion, two hundred fifty-eight million, seventy-eight thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 503 594 792 1006 1188 1509 2012 2376 3018 4024 4527 5533 6036 9054 11066 12072 13581 16599 18108 22132 27162 33198 36216 44264 49797 54324 66396 99594 108648 132792 149391 199188 298782 398376 597564 1195128 1710493 3420986 5131479 6841972 10262958 13683944 15394437 18815423 20525916 30788874 37630846 41051832 46183311 56446269 61577748 75261692 92366622 112892538 123155496 150523384 169338807 184733244 225785076 338677614 369466488 451570152 508016421 677355228 860377979 1016032842 1354710456 1720755958 2032065684 2581133937 3441511916 4064131368 5162267874 6883023832 7743401811 9464157769 10324535748 15486803622 18928315538 20649071496 23230205433 28392473307 30973607244 37856631076 46460410866 56784946614 61947214488 75713262152 85177419921 92920821732 113569893228 170354839842 185841643464 227139786456 255532259763 340709679684 511064519526 681419359368 1022129039052 2044258078104