Search a number
-
+
44155655949568 = 286179199317959
BaseRepresentation
bin10100000101000110010100…
…01100000000110100000000
312210100020110120202020022211
422002203022030000310000
521241421240410341233
6233524454525311504
712205066213562032
oct1202431214006400
9183306416666284
1044155655949568
1113084343714479
124b517b3a05594
131b83b25659267
14ac9206419c52
155188cb0cd5cd
hex2828ca300d00

44155655949568 has 144 divisors (see below), whose sum is σ = 90768271014400. Its totient is φ = 21429060157440.

The previous prime is 44155655949541. The next prime is 44155655949569. The reversal of 44155655949568 is 86594955655144.

It is a super-3 number, since 3×441556559495683 (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44155655949494 and 44155655949503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44155655949569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2458683373 + ... + 2458701331.

Almost surely, 244155655949568 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 44155655949568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45384135507200).

44155655949568 is an abundant number, since it is smaller than the sum of its proper divisors (46612615064832).

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

44155655949568 is a wasteful number, since it uses less digits than its factorization.

44155655949568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20108 (or 20094 counting only the distinct ones).

The product of its digits is 4665600000, while the sum is 76.

The spelling of 44155655949568 in words is "forty-four trillion, one hundred fifty-five billion, six hundred fifty-five million, nine hundred forty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 32 61 64 79 122 128 158 244 256 316 488 632 976 1264 1952 1993 2528 3904 3986 4819 5056 7808 7972 9638 10112 15616 15944 17959 19276 20224 31888 35918 38552 63776 71836 77104 121573 127552 143672 154208 157447 243146 255104 287344 308416 314894 486292 510208 574688 616832 629788 972584 1095499 1149376 1233664 1259576 1418761 1945168 2190998 2298752 2519152 2837522 3890336 4381996 4597504 5038304 5675044 7780672 8763992 9604267 10076608 11350088 15561344 17527984 19208534 20153216 22700176 31122688 35055968 35792287 38417068 40306432 45400352 70111936 71584574 76834136 86544421 90800704 140223872 143169148 153668272 173088842 181601408 280447744 286338296 307336544 346177684 363202816 572676592 614673088 692355368 1145353184 1229346176 1384710736 2183329507 2290706368 2458692352 2769421472 2827590673 4366659014 4581412736 5538842944 5655181346 8733318028 9162825472 11077685888 11310362692 17466636056 22155371776 22620725384 34933272112 45241450768 69866544224 90482901536 139733088448 172483031053 180965803072 279466176896 344966062106 361931606144 558932353792 689932124212 723863212288 1379864248424 2759728496848 5519456993696 11038913987392 22077827974784 44155655949568