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44306241354 = 23429531071663
BaseRepresentation
bin101001010000110110…
…111001011101001010
311020100210000021010000
4221100312321131022
51211214344210404
632204244303430
73125643560214
oct512066713512
9136323007100
1044306241354
11178767999a1
1287060a1b76
13424127887b
14220447b5b4
151244aa0339
hexa50db974a

44306241354 has 160 divisors (see below), whose sum is σ = 105681438720. Its totient is φ = 13851347328.

The previous prime is 44306241323. The next prime is 44306241403. The reversal of 44306241354 is 45314260344.

44306241354 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26641527 + ... + 26643189.

It is an arithmetic number, because the mean of its divisors is an integer number (660508992).

Almost surely, 244306241354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44306241354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52840719360).

44306241354 is an abundant number, since it is smaller than the sum of its proper divisors (61375197366).

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

44306241354 is a wasteful number, since it uses less digits than its factorization.

44306241354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1866 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

It can be divided in two parts, 443062 and 41354, that added together give a square (484416 = 6962).

The spelling of 44306241354 in words is "forty-four billion, three hundred six million, two hundred forty-one thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 18 27 29 53 54 58 81 87 106 107 159 162 174 214 261 318 321 477 522 642 783 954 963 1431 1537 1566 1663 1926 2349 2862 2889 3074 3103 3326 4293 4611 4698 4989 5671 5778 6206 8586 8667 9222 9309 9978 11342 13833 14967 17013 17334 18618 27666 27927 29934 34026 41499 44901 48227 51039 55854 82998 83781 88139 89802 96454 102078 124497 134703 144681 153117 164459 167562 176278 177941 248994 251343 264417 269406 289362 306234 328918 355882 434043 459351 493377 502686 528834 533823 793251 868086 918702 986754 1067646 1302129 1480131 1586502 1601469 2379753 2556031 2604258 2960262 3202938 3906387 4440393 4759506 4804407 5112062 5160289 7139259 7668093 7812774 8880786 9430873 9608814 10320578 13321179 14278518 14413221 15336186 15480867 18861746 23004279 26642358 28292619 28826442 30961734 46008558 46442601 56585238 69012837 84877857 92885202 138025674 139327803 169755714 207038511 254633571 273495317 278655606 414077022 417983409 509267142 546990634 763900713 820485951 835966818 1527801426 1640971902 2461457853 4922915706 7384373559 14768747118 22153120677 44306241354