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44106560380302 = 237231273071171073
BaseRepresentation
bin10100000011101010110111…
…10111010001110110001110
312210011112202000202220102120
422001311123313101312032
521240120213424132202
6233450135113033410
712201410453250420
oct1201653367216616
9183145660686376
1044106560380302
111306553a52a642
124b441919b5866
131b7c3000a4864
14ac6aa9c7a810
155174a5d3d0bc
hex281d5bdd1d8e

44106560380302 has 128 divisors (see below), whose sum is σ = 106372042850304. Its totient is φ = 11920088936448.

The previous prime is 44106560380297. The next prime is 44106560380339. The reversal of 44106560380302 is 20308306560144.

It is a super-2 number, since 2×441065603803022 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37077838 + ... + 38248910.

It is an arithmetic number, because the mean of its divisors is an integer number (831031584768).

Almost surely, 244106560380302 is an apocalyptic number.

44106560380302 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 44106560380302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53186021425152).

44106560380302 is an abundant number, since it is smaller than the sum of its proper divisors (62265482470002).

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

44106560380302 is a wasteful number, since it uses less digits than its factorization.

44106560380302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171542.

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 44106560380302 in words is "forty-four trillion, one hundred six billion, five hundred sixty million, three hundred eighty thousand, three hundred two".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 127 138 161 254 307 322 381 483 614 762 889 921 966 1778 1842 2149 2667 2921 4298 5334 5842 6447 7061 8763 12894 14122 17526 20447 21183 38989 40894 42366 49427 61341 77978 98854 116967 122682 148281 233934 272923 296562 545846 818769 896747 1171073 1637538 1793494 2342146 2690241 3513219 5380482 6277229 7026438 8197511 12554458 16395022 18831687 24592533 26934679 37663374 49185066 53869358 80804037 148726271 161608074 188542753 297452542 359519411 377085506 446178813 565628259 719038822 892357626 1041083897 1078558233 1131256518 2082167794 2157116466 2516635877 3123251691 3420704233 5033271754 6246503382 6841408466 7549907631 8268946453 10262112699 15099815262 16537892906 20524225398 23944929631 24806839359 45658965197 47889859262 49613678718 57882625171 71834788893 91317930394 115765250342 136976895591 143669577786 173647875513 273953791182 319612756379 347295751026 639225512758 958838269137 1050156199531 1917676538274 2100312399062 3150468598593 6300937197186 7351093396717 14702186793434 22053280190151 44106560380302