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44340224742 = 23411533171481
BaseRepresentation
bin101001010010111000…
…100010001011100110
311020110010221210120000
4221102320202023212
51211302044142432
632211500522130
73126535456152
oct512270421346
9136403853500
1044340224742
11178939a0140
128715550346
134248316998
142208ba6062
151247a6457c
hexa52e222e6

44340224742 has 160 divisors (see below), whose sum is σ = 110855425824. Its totient is φ = 13132454400.

The previous prime is 44340224737. The next prime is 44340224821. The reversal of 44340224742 is 24742204344.

44340224742 is a `hidden beast` number, since 4 + 4 + 3 + 402 + 247 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 44340224697 and 44340224706.

It is a congruent 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, 29938642 + ... + 29940122.

Almost surely, 244340224742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44340224742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55427712912).

44340224742 is an abundant number, since it is smaller than the sum of its proper divisors (66515201082).

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

44340224742 is a wasteful number, since it uses less digits than its factorization.

44340224742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1876 (or 1867 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 36.

The spelling of 44340224742 in words is "forty-four billion, three hundred forty million, two hundred twenty-four thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 53 54 66 81 99 106 159 162 198 297 317 318 477 583 594 634 891 951 954 1166 1431 1481 1749 1782 1902 2853 2862 2962 3487 3498 4293 4443 5247 5706 6974 8559 8586 8886 10461 10494 13329 15741 16291 16801 17118 20922 25677 26658 31383 31482 32582 33602 39987 47223 48873 50403 51354 62766 78493 79974 94149 94446 97746 100806 119961 146619 151209 156986 184811 188298 235479 239922 282447 293238 302418 369622 439857 453627 469477 470958 554433 564894 706437 863423 879714 907254 938954 1108866 1319571 1360881 1408431 1412874 1663299 1726846 2119311 2590269 2639142 2721762 2816862 3326598 4225293 4238622 4989897 5164247 5180538 6357933 7770807 8450586 9979794 10328494 12675879 12715866 14969691 15492741 15541614 23312421 24882281 25351758 29939382 30985482 38027637 46478223 46624842 49764562 69937263 74646843 76055274 92956446 139434669 139874526 149293686 223940529 273705091 278869338 418304007 447881058 547410182 671821587 821115273 836608014 1343643174 1642230546 2015464761 2463345819 4030929522 4926691638 7390037457 14780074914 22170112371 44340224742