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44219531970 = 23254134934337
BaseRepresentation
bin101001001011101100…
…001000001011000010
311020010201211222012100
4221023230020023002
51211030200010340
632151510011230
73123541551165
oct511354101302
9136121758170
1044219531970
1117831855949
1286a1046b16
134229309643
1421d6b49adc
15123c173830
hexa4bb082c2

44219531970 has 96 divisors (see below), whose sum is σ = 118115852400. Its totient is φ = 11470970880.

The previous prime is 44219531927. The next prime is 44219531977. The reversal of 44219531970 is 7913591244.

44219531970 is a `hidden beast` number, since 4 + 4 + 21 + 9 + 531 + 97 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 11079878121 + 33139653849 = 105261^2 + 182043^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (44219531977) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1270642 + ... + 1304978.

Almost surely, 244219531970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44219531970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59057926200).

44219531970 is an abundant number, since it is smaller than the sum of its proper divisors (73896320430).

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

44219531970 is a wasteful number, since it uses less digits than its factorization.

44219531970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34740 (or 34737 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 44219531970 in words is "forty-four billion, two hundred nineteen million, five hundred thirty-one thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 349 369 410 615 698 738 1047 1230 1745 1845 2094 3141 3490 3690 5235 6282 10470 14309 15705 28618 31410 34337 42927 68674 71545 85854 103011 128781 143090 171685 206022 214635 257562 309033 343370 429270 515055 618066 643905 1030110 1287810 1407817 1545165 2815634 3090330 4223451 7039085 8446902 11983613 12670353 14078170 21117255 23967226 25340706 35950839 42234510 59918065 63351765 71901678 107852517 119836130 126703530 179754195 215705034 359508390 491328133 539262585 982656266 1078525170 1473984399 2456640665 2947968798 4421953197 4913281330 7369921995 8843906394 14739843990 22109765985 44219531970