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44341032032 = 2511193126899
BaseRepresentation
bin101001010010111011…
…100111010001100000
311020110012110210221122
4221102323213101200
51211302301011112
632211530111412
73126545360603
oct512273472140
9136405423848
1044341032032
11178943a1720
12871587b568
13424853a27b
142208d3633a
151247b73872
hexa52ee7460

44341032032 has 144 divisors (see below), whose sum is σ = 103597704000. Its totient is φ = 18475603200.

The previous prime is 44341031957. The next prime is 44341032049. The reversal of 44341032032 is 23023014344.

It is a super-2 number, since 2×443410320322 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44341031992 and 44341032010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6423719 + ... + 6430617.

It is an arithmetic number, because the mean of its divisors is an integer number (719428500).

Almost surely, 244341032032 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 44341032032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51798852000).

44341032032 is an abundant number, since it is smaller than the sum of its proper divisors (59256671968).

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

44341032032 is a wasteful number, since it uses less digits than its factorization.

44341032032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7001 (or 6962 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 44341032032 its reverse (23023014344), we get a palindrome (67364046376).

The spelling of 44341032032 in words is "forty-four billion, three hundred forty-one million, thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 19 22 31 32 38 44 62 76 88 124 152 176 209 248 304 341 352 418 496 589 608 682 836 961 992 1178 1364 1672 1922 2356 2728 3344 3844 4712 5456 6479 6688 6899 7688 9424 10571 10912 12958 13798 15376 18259 18848 21142 25916 27596 30752 36518 42284 51832 55192 73036 75889 84568 103664 110384 131081 146072 151778 169136 200849 207328 213869 220768 262162 292144 303556 338272 401698 427738 524324 584288 607112 803396 855476 1048648 1214224 1441891 1606792 1710952 2097296 2352559 2428448 2883782 3213584 3421904 4063511 4194592 4705118 5767564 6427168 6629939 6843808 8127022 9410236 11535128 13259878 16254044 18820472 23070256 26519756 32508088 37640944 44698621 46140512 53039512 65016176 72929329 75281888 89397242 106079024 125968841 130032352 145858658 178794484 212158048 251937682 291717316 357588968 503875364 583434632 715177936 1007750728 1166869264 1385657251 1430355872 2015501456 2333738528 2771314502 4031002912 5542629004 11085258008 22170516016 44341032032