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10144011141110 = 2571154742715639
BaseRepresentation
bin1001001110011101011000…
…1011100011111111110110
31022220202110120121012202102
42103213112023203333312
52312144413323003420
633324032215342102
72064611024011460
oct223472613437766
938822416535672
1010144011141110
113261061920910
121179b88981932
13587764a3cca2
14270d89371130
15128d07d8aa75
hex939d62e3ff6

10144011141110 has 128 divisors (see below), whose sum is σ = 22815744491520. Its totient is φ = 3154691030400.

The previous prime is 10144011141097. The next prime is 10144011141127. The reversal of 10144011141110 is 1114111044101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1798899671 + ... + 1798905309.

It is an arithmetic number, because the mean of its divisors is an integer number (178248003840).

Almost surely, 210144011141110 is an apocalyptic number.

10144011141110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10144011141110 is an abundant number, since it is smaller than the sum of its proper divisors (12671733350410).

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

10144011141110 is a wasteful number, since it uses less digits than its factorization.

10144011141110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10482.

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 10144011141110 its reverse (1114111044101), we get a palindrome (11258122185211).

The spelling of 10144011141110 in words is "ten trillion, one hundred forty-four billion, eleven million, one hundred forty-one thousand, one hundred ten".

Divisors: 1 2 5 7 10 11 14 22 35 55 70 77 110 154 385 547 770 1094 2735 3829 4271 5470 5639 6017 7658 8542 11278 12034 19145 21355 28195 29897 30085 38290 39473 42119 42710 46981 56390 59794 60170 62029 78946 84238 93962 124058 149485 197365 210595 234905 298970 310145 328867 394730 421190 434203 469810 620290 657734 868406 1644335 2171015 2336237 3084533 3288670 4342030 4672474 6169066 11681185 15422665 16353659 21591731 23362370 24084169 25698607 30845330 32707318 33929863 43183462 48168338 51397214 67859726 81768295 107958655 120420845 128493035 163536590 168589183 169649315 179890249 215917310 237509041 240841690 256986070 264925859 337178366 339298630 359780498 475018082 529851718 842945915 899451245 1187545205 1324629295 1685891830 1798902490 1854481013 2375090410 2649258590 3708962026 9272405065 13174040443 18544810130 26348080886 65870202215 92218283101 131740404430 144914444873 184436566202 289828889746 461091415505 724572224365 922182831010 1014401114111 1449144448730 2028802228222 5072005570555 10144011141110