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44200133040 = 24357109324071
BaseRepresentation
bin101001001010100010…
…001000000110110000
311020002101100101212110
4221022202020012300
51211010213224130
632145534125320
73123214634430
oct511242100660
9136071311773
1044200133040
1117821906178
128696650840
1342252a699b
1421d433a2c0
15123a5e0ab0
hexa4a8881b0

44200133040 has 160 divisors (see below), whose sum is σ = 156744539136. Its totient is φ = 10093224960.

The previous prime is 44200133027. The next prime is 44200133099. The reversal of 44200133040 is 4033100244.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 44200132998 and 44200133016.

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, 1824205 + ... + 1848275.

Almost surely, 244200133040 is an apocalyptic number.

44200133040 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 44200133040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78372269568).

44200133040 is an abundant number, since it is smaller than the sum of its proper divisors (112544406096).

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

44200133040 is a wasteful number, since it uses less digits than its factorization.

44200133040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25187 (or 25181 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 44200133040 its reverse (4033100244), we get a palindrome (48233233284).

The spelling of 44200133040 in words is "forty-four billion, two hundred million, one hundred thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1093 1680 2186 3279 4372 5465 6558 7651 8744 10930 13116 15302 16395 17488 21860 22953 24071 26232 30604 32790 38255 43720 45906 48142 52464 61208 65580 72213 76510 87440 91812 96284 114765 120355 122416 131160 144426 153020 168497 183624 192568 229530 240710 262320 288852 306040 336994 361065 367248 385136 459060 481420 505491 577704 612080 673988 722130 842485 918120 962840 1010982 1155408 1347976 1444260 1684970 1836240 1925680 2021964 2527455 2695952 2888520 3369940 4043928 5054910 5777040 6739880 8087856 10109820 13479760 20219640 26309603 40439280 52619206 78928809 105238412 131548015 157857618 184167221 210476824 263096030 315715236 368334442 394644045 420953648 526192060 552501663 631430472 736668884 789288090 920836105 1052384120 1105003326 1262860944 1473337768 1578576180 1841672210 2104768240 2210006652 2762508315 2946675536 3157152360 3683344420 4420013304 5525016630 6314304720 7366688840 8840026608 11050033260 14733377680 22100066520 44200133040