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39921303444 = 2231112722910399
BaseRepresentation
bin100101001011011111…
…101011111110010100
310211001011222100010020
4211023133223332110
51123224323202234
630201204025140
72612200323531
oct451337537624
9124034870106
1039921303444
1115a26598170
1278a16921b0
1339c298a559
141d09d63d88
151089b3e549
hex94b7ebf94

39921303444 has 96 divisors (see below), whose sum is σ = 102875136000. Its totient is φ = 11948549760.

The previous prime is 39921303431. The next prime is 39921303463. The reversal of 39921303444 is 44430312993.

It is a super-4 number, since 4×399213034444 (a number of 44 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 39921303396 and 39921303405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3833757 + ... + 3844155.

It is an arithmetic number, because the mean of its divisors is an integer number (1071616000).

Almost surely, 239921303444 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 39921303444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51437568000).

39921303444 is an abundant number, since it is smaller than the sum of its proper divisors (62953832556).

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

39921303444 is a wasteful number, since it uses less digits than its factorization.

39921303444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10773 (or 10771 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 42.

The spelling of 39921303444 in words is "thirty-nine billion, nine hundred twenty-one million, three hundred three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 127 132 229 254 381 458 508 687 762 916 1374 1397 1524 2519 2748 2794 4191 5038 5588 7557 8382 10076 10399 15114 16764 20798 29083 30228 31197 41596 58166 62394 87249 114389 116332 124788 174498 228778 319913 343167 348996 457556 639826 686334 959739 1279652 1320673 1372668 1919478 2381371 2641346 3838956 3962019 4762742 5282692 7144113 7924038 9525484 14288226 14527403 15848076 26195081 28576452 29054806 43582209 52390162 58109612 78585243 87164418 104780324 157170486 174328836 302434117 314340972 604868234 907302351 1209736468 1814604702 3326775287 3629209404 6653550574 9980325861 13307101148 19960651722 39921303444