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940922972448 = 25317287738671
BaseRepresentation
bin11011011000100110110…
…00010010100100100000
310022221200112120110220120
431230103120102210200
5110404002240104243
62000130512440240
7124656643206054
oct15542330224440
93287615513816
10940922972448
11333052540788
12132435249080
136a961b193c4
14337803adc64
151972007bc83
hexdb13612920

940922972448 has 144 divisors (see below), whose sum is σ = 2626818493824. Its totient is φ = 294847303680.

The previous prime is 940922972389. The next prime is 940922972461. The reversal of 940922972448 is 844279229049.

It is a super-2 number, since 2×9409229724482 (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 940922972391 and 940922972400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24312153 + ... + 24350823.

It is an arithmetic number, because the mean of its divisors is an integer number (18241795096).

Almost surely, 2940922972448 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 940922972448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313409246912).

940922972448 is an abundant number, since it is smaller than the sum of its proper divisors (1685895521376).

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

940922972448 is a wasteful number, since it uses less digits than its factorization.

940922972448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39595 (or 39570 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 940922972448 in words is "nine hundred forty billion, nine hundred twenty-two million, nine hundred seventy-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 289 408 544 578 816 867 877 1156 1632 1734 1754 2312 2631 3468 3508 4624 5262 6936 7016 9248 10524 13872 14032 14909 21048 27744 28064 29818 38671 42096 44727 59636 77342 84192 89454 116013 119272 154684 178908 232026 238544 253453 309368 357816 464052 477088 506906 618736 657407 715632 760359 928104 1013812 1237472 1314814 1431264 1520718 1856208 1972221 2027624 2629628 3041436 3712416 3944442 4055248 5259256 6082872 7888884 8110496 10518512 11175919 12165744 15777768 21037024 22351838 24331488 31555536 33527757 33914467 44703676 63111072 67055514 67828934 89407352 101743401 134111028 135657868 178814704 203486802 268222056 271315736 357629408 406973604 536444112 542631472 576545939 813947208 1072888224 1085262944 1153091878 1627894416 1729637817 2306183756 3255788832 3459275634 4612367512 6918551268 9224735024 9801280963 13837102536 18449470048 19602561926 27674205072 29403842889 39205123852 55348410144 58807685778 78410247704 117615371556 156820495408 235230743112 313640990816 470461486224 940922972448