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20440461104384 = 281928120897159
BaseRepresentation
bin1001010010111001010100…
…11011000101010100000000
32200101002101212201221110012
410221130222123011110000
510134344031020320014
6111250115044124052
74206526452442226
oct451345233052400
980332355657405
1020440461104384
116570829458a82
1223615b9096628
13b536b138b759
14509475d3ab16
15256a83999c3e
hex12972a6c5500

20440461104384 has 144 divisors (see below), whose sum is σ = 43127999376000. Its totient is φ = 9641901588480.

The previous prime is 20440461104383. The next prime is 20440461104387. The reversal of 20440461104384 is 48340116404402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20440461104383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2855208197 + ... + 2855215355.

Almost surely, 220440461104384 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 20440461104384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21563999688000).

20440461104384 is an abundant number, since it is smaller than the sum of its proper divisors (22687538271616).

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

20440461104384 is a wasteful number, since it uses less digits than its factorization.

20440461104384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9564 (or 9550 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 41.

Adding to 20440461104384 its reverse (48340116404402), we get a palindrome (68780577508786).

The spelling of 20440461104384 in words is "twenty trillion, four hundred forty billion, four hundred sixty-one million, one hundred four thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 281 304 562 608 1124 1216 2089 2248 2432 4178 4496 4864 5339 7159 8356 8992 10678 14318 16712 17984 21356 28636 33424 35968 39691 42712 57272 66848 71936 79382 85424 114544 133696 136021 158764 170848 229088 267392 272042 317528 341696 458176 534784 544084 587009 635056 683392 916352 1088168 1174018 1270112 1366784 1832704 2011679 2176336 2348036 2540224 4023358 4352672 4696072 5080448 8046716 8705344 9392144 10160896 11153171 14955151 16093432 17410688 18784288 22306342 29910302 32186864 34821376 37568576 38221901 44612684 59820604 64373728 75137152 76443802 89225368 119641208 128747456 150274304 152887604 178450736 239282416 257494912 284147869 305775208 356901472 478564832 514989824 568295738 611550416 713802944 957129664 1136591476 1223100832 1427605888 1914259328 2273182952 2446201664 2855211776 3828518656 4202397431 4546365904 4892403328 8404794862 9092731808 9784806656 16809589724 18185463616 33619179448 36370927232 67238358896 72741854464 79845551189 134476717792 159691102378 268953435584 319382204756 537906871168 638764409512 1075813742336 1277528819024 2555057638048 5110115276096 10220230552192 20440461104384