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44524284713104 = 2472167214272
BaseRepresentation
bin10100001111110100111100…
…01011001001100010010000
312211122110221221210200010211
422013322132023021202100
521313441213341304404
6234410101331133504
712243526165430200
oct1207723613114220
9184573857720124
1044524284713104
1113206708a7a569
124bb1130a44294
131bac8117b4c91
14adcdb5dcc400
155232a37dab04
hex287e9e2c9890

44524284713104 has 135 divisors (see below), whose sum is σ = 101025306179283. Its totient is φ = 18954281889984.

The previous prime is 44524284713093. The next prime is 44524284713281. The reversal of 44524284713104 is 40131748242544.

The square root of 44524284713104 is 6672652.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 31201320039 + ... + 31201321465.

Almost surely, 244524284713104 is an apocalyptic number.

44524284713104 is the 6672652-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44524284713104

44524284713104 is an abundant number, since it is smaller than the sum of its proper divisors (56501021466179).

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

44524284713104 is an frugal number, since it uses more digits than its factorization.

44524284713104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3210 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 49.

44524284713104 divided by its sum of digits (49) gives a square (908658871696 = 9532362).

The spelling of 44524284713104 in words is "forty-four trillion, five hundred twenty-four billion, two hundred eighty-four million, seven hundred thirteen thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 167 196 334 392 668 784 1169 1336 1427 2338 2672 2854 4676 5708 8183 9352 9989 11416 16366 18704 19978 22832 27889 32732 39956 55778 65464 69923 79912 111556 130928 139846 159824 195223 223112 238309 279692 390446 446224 476618 559384 780892 953236 1118768 1366561 1561784 1668163 1906472 2036329 2733122 3123568 3336326 3812944 4072658 5466244 6672652 8145316 10932488 11677141 13345304 14254303 16290632 21864976 23354282 26690608 28508606 32581264 39797603 46708564 57017212 79595206 93417128 99780121 114034424 159190412 186834256 199560242 228068848 278583221 318380824 340066943 399120484 557166442 636761648 680133886 798240968 1114332884 1360267772 1596481936 1950082547 2228665768 2380468601 2720535544 3900165094 4457331536 4760937202 5441071088 7800330188 9521874404 15600660376 16663280207 19043748808 31201320752 33326560414 38087497616 56791179481 66653120828 113582358962 133306241656 227164717924 266612483312 397538256367 454329435848 795076512734 908658871696 1590153025468 2782767794569 3180306050936 5565535589138 6360612101872 11131071178276 22262142356552 44524284713104