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44414510544 = 2433978211291
BaseRepresentation
bin101001010111010011…
…111010010111010000
311020122022201220112000
4221113103322113100
51211430103314134
632223113034000
73131430052635
oct512723722720
9136568656460
1044414510544
1117921919168
1287363b5900
13425a826191
1422149c218c
15124e339e99
hexa574fa5d0

44414510544 has 160 divisors (see below), whose sum is σ = 129057156480. Its totient is φ = 14623027200.

The previous prime is 44414510533. The next prime is 44414510579. The reversal of 44414510544 is 44501541444.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 44414510499 and 44414510508.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 34402539 + ... + 34403829.

It is an arithmetic number, because the mean of its divisors is an integer number (806607228).

Almost surely, 244414510544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44414510544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64528578240).

44414510544 is an abundant number, since it is smaller than the sum of its proper divisors (84642645936).

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

44414510544 is a wasteful number, since it uses less digits than its factorization.

44414510544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2226 (or 2214 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

The spelling of 44414510544 in words is "forty-four billion, four hundred fourteen million, five hundred ten thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 97 108 144 194 216 291 388 432 582 776 821 873 1164 1291 1552 1642 1746 2328 2463 2582 2619 3284 3492 3873 4656 4926 5164 5238 6568 6984 7389 7746 9852 10328 10476 11619 13136 13968 14778 15492 19704 20656 20952 22167 23238 29556 30984 34857 39408 41904 44334 46476 59112 61968 69714 79637 88668 92952 118224 125227 139428 159274 177336 185904 238911 250454 278856 318548 354672 375681 477822 500908 557712 637096 716733 751362 955644 1001816 1059911 1127043 1274192 1433466 1502724 1911288 2003632 2119822 2150199 2254086 2866932 3005448 3179733 3381129 3822576 4239644 4300398 4508172 5733864 6010896 6359466 6762258 8479288 8600796 9016344 9539199 11467728 12718932 13524516 16958576 17201592 18032688 19078398 25437864 27049032 28617597 34403184 38156796 50875728 54098064 57235194 76313592 102811367 114470388 152627184 205622734 228940776 308434101 411245468 457881552 616868202 822490936 925302303 1233736404 1644981872 1850604606 2467472808 2775906909 3701209212 4934945616 5551813818 7402418424 11103627636 14804836848 22207255272 44414510544