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1141944210480 = 243537671919363
BaseRepresentation
bin10000100111100001001…
…011011101010000110000
311001011120001111102121210
4100213201023131100300
5122202200204213410
62232334003320120
7145334304430323
oct20474113352060
94034501442553
101141944210480
11400328811157
12165396980040
13838b98a0528
143d3add6a7ba
151ea87eca220
hex109e12dd430

1141944210480 has 160 divisors (see below), whose sum is σ = 3689969612544. Its totient is φ = 291865863168.

The previous prime is 1141944210461. The next prime is 1141944210481. The reversal of 1141944210480 is 840124491411.

It is not an unprimeable number, because it can be changed into a prime (1141944210481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 364722 + ... + 1554641.

Almost surely, 21141944210480 is an apocalyptic number.

1141944210480 is a gapful number since it is divisible by the number (10) 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 1141944210480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1844984806272).

1141944210480 is an abundant number, since it is smaller than the sum of its proper divisors (2548025402064).

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

1141944210480 is a wasteful number, since it uses less digits than its factorization.

1141944210480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919483 (or 1919477 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The spelling of 1141944210480 in words is "one trillion, one hundred forty-one billion, nine hundred forty-four million, two hundred ten thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 67 74 80 111 120 134 148 185 201 222 240 268 296 335 370 402 444 536 555 592 670 740 804 888 1005 1072 1110 1340 1480 1608 1776 2010 2220 2479 2680 2960 3216 4020 4440 4958 5360 7437 8040 8880 9916 12395 14874 16080 19832 24790 29748 37185 39664 49580 59496 74370 99160 118992 148740 198320 297480 594960 1919363 3838726 5758089 7677452 9596815 11516178 15354904 19193630 23032356 28790445 30709808 38387260 46064712 57580890 71016431 76774520 92129424 115161780 128597321 142032862 153549040 213049293 230323560 257194642 284065724 355082155 385791963 426098586 460647120 514389284 568131448 642986605 710164310 771583926 852197172 1028778568 1065246465 1136262896 1285973210 1420328620 1543167852 1704394344 1928959815 2057557136 2130492930 2571946420 2840657240 3086335704 3408788688 3857919630 4260985860 4758100877 5143892840 5681314480 6172671408 7715839260 8521971720 9516201754 10287785680 14274302631 15431678520 17043943440 19032403508 23790504385 28548605262 30863357040 38064807016 47581008770 57097210524 71371513155 76129614032 95162017540 114194421048 142743026310 190324035080 228388842096 285486052620 380648070160 570972105240 1141944210480