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44525430040 = 23571326894549
BaseRepresentation
bin101001011101111011…
…000010010100011000
311020221001110012110111
4221131323002110120
51212142002230130
632242114254104
73134244624250
oct513573022430
9136831405414
1044525430040
1117979498673
128767587334
1342777c0c10
142225616960
151258e4a02a
hexa5dec2518

44525430040 has 128 divisors (see below), whose sum is σ = 123374160000. Its totient is φ = 14083227648.

The previous prime is 44525430023. The next prime is 44525430041. The reversal of 44525430040 is 4003452544.

It is a junction number, because it is equal to n+sod(n) for n = 44525429984 and 44525430011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44525430041) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 9785686 + ... + 9790234.

It is an arithmetic number, because the mean of its divisors is an integer number (963860625).

Almost surely, 244525430040 is an apocalyptic number.

44525430040 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 44525430040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61687080000).

44525430040 is an abundant number, since it is smaller than the sum of its proper divisors (78848729960).

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

44525430040 is a wasteful number, since it uses less digits than its factorization.

44525430040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7269 (or 7265 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 31.

Adding to 44525430040 its reverse (4003452544), we get a palindrome (48528882584).

The spelling of 44525430040 in words is "forty-four billion, five hundred twenty-five million, four hundred thirty thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1820 2689 3640 4549 5378 9098 10756 13445 18196 18823 21512 22745 26890 31843 34957 36392 37646 45490 53780 59137 63686 69914 75292 90980 94115 107560 118274 127372 139828 150584 159215 174785 181960 188230 236548 244699 254744 279656 295685 318430 349570 376460 413959 473096 489398 591370 636860 699140 752920 827918 978796 1182740 1223495 1273720 1398280 1655836 1957592 2069795 2365480 2446990 3311672 4139590 4893980 8279180 9787960 12232261 16558360 24464522 48929044 61161305 85625827 97858088 122322610 159019393 171251654 244645220 318038786 342503308 428129135 489290440 636077572 685006616 795096965 856258270 1113135751 1272155144 1590193930 1712516540 2226271502 3180387860 3425033080 4452543004 5565678755 6360775720 8905086008 11131357510 22262715020 44525430040