Search a number
-
+
2044441225435 = 573173712714923
BaseRepresentation
bin11101110000000010001…
…100010110100011011011
321020110001121212000102111
4131300002030112203123
5231444003423203220
64203111530413151
7300464105455000
oct35600214264333
97213047760374
102044441225435
11719051856274
122902872911b7
1311aa3678217b
1470d46c278a7
15382a984315a
hex1dc023168db

2044441225435 has 128 divisors (see below), whose sum is σ = 3135902515200. Its totient is φ = 1273583388672.

The previous prime is 2044441225423. The next prime is 2044441225441. The reversal of 2044441225435 is 5345221444402.

It is not a de Polignac number, because 2044441225435 - 213 = 2044441217243 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 136991884 + ... + 137006806.

It is an arithmetic number, because the mean of its divisors is an integer number (24499238400).

Almost surely, 22044441225435 is an apocalyptic number.

2044441225435 is a deficient number, since it is larger than the sum of its proper divisors (1091461289765).

2044441225435 is a wasteful number, since it uses less digits than its factorization.

2044441225435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15130 (or 15116 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 40.

Adding to 2044441225435 its reverse (5345221444402), we get a palindrome (7389662669837).

The spelling of 2044441225435 in words is "two trillion, forty-four billion, four hundred forty-one million, two hundred twenty-five thousand, four hundred thirty-five".

Divisors: 1 5 7 17 35 37 49 85 119 127 185 245 259 343 595 629 635 833 889 1295 1715 1813 2159 3145 4165 4403 4445 4699 5831 6223 9065 10795 12691 14923 15113 22015 23495 29155 30821 31115 32893 43561 63455 74615 75565 79883 104461 105791 154105 164465 215747 217805 230251 253691 399415 522305 528955 552151 559181 731227 740537 1078735 1151255 1268455 1611757 1775837 1895221 2760755 2795905 3656135 3702685 3865057 3914267 5118589 8058785 8879185 9386567 9476105 12430859 13266547 19325285 19571335 25592945 27055399 27399869 32218757 46932835 62154295 65705969 66332735 70123177 87016013 92865829 135276995 136999345 161093785 189387793 225531299 328529845 350615885 435080065 459941783 464329145 490862239 650060803 946938965 1127656495 1192094009 1578719093 2299708915 2454311195 3219592481 3250304015 3436035673 5960470045 7893595465 8344658063 11051033651 16097962405 17180178365 24052249711 41723290315 55255168255 58412606441 120261248555 292063032205 408888245087 2044441225435