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44432531440 = 245111710212909
BaseRepresentation
bin101001011000011000…
…101001111111110000
311020200120122110112121
4221120120221333300
51211444212001230
632224555204024
73132036166663
oct513030517760
9136616573477
1044432531440
1117931007570
128740446614
13426149582b
1422171536da
151250be977a
hexa58629ff0

44432531440 has 160 divisors (see below), whose sum is σ = 119484227520. Its totient is φ = 15186739200.

The previous prime is 44432531413. The next prime is 44432531443. The reversal of 44432531440 is 4413523444.

44432531440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 44432531396 and 44432531405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44432531443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15272706 + ... + 15275614.

It is an arithmetic number, because the mean of its divisors is an integer number (746776422).

Almost surely, 244432531440 is an apocalyptic number.

44432531440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44432531440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59742113760).

44432531440 is an abundant number, since it is smaller than the sum of its proper divisors (75051696080).

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

44432531440 is a wasteful number, since it uses less digits than its factorization.

44432531440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3971 (or 3965 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 34.

The spelling of 44432531440 in words is "forty-four billion, four hundred thirty-two million, five hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 272 340 374 440 680 748 880 935 1021 1360 1496 1870 2042 2909 2992 3740 4084 5105 5818 7480 8168 10210 11231 11636 14545 14960 16336 17357 20420 22462 23272 29090 31999 34714 40840 44924 46544 49453 56155 58180 63998 69428 81680 86785 89848 98906 112310 116360 127996 138856 159995 173570 179696 190927 197812 224620 232720 247265 255992 277712 319990 347140 381854 395624 449240 494530 511984 543983 639980 694280 763708 791248 898480 954635 989060 1087966 1279960 1388560 1527416 1909270 1978120 2175932 2559920 2719915 2970089 3054832 3818540 3956240 4351864 5439830 5940178 7637080 8703728 10879660 11880356 14850445 15274160 21759320 23760712 29700890 32670979 43518640 47521424 50491513 59401780 65341958 100983026 118803560 130683916 163354895 201966052 237607120 252457565 261367832 326709790 403932104 504915130 522735664 555406643 653419580 807864208 1009830260 1110813286 1306839160 2019660520 2221626572 2613678320 2777033215 4039321040 4443253144 5554066430 8886506288 11108132860 22216265720 44432531440