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40010657721705 = 365113073250477
BaseRepresentation
bin10010001100011101101010…
…00010100110110101101001
312020122222111112022101000000
421012032311002212311221
520221013311334043310
6221032350432133213
711266450253142456
oct1106166502466551
9166588445271000
1040010657721705
1111826474232140
1245a2400397209
131942cb1610778
149c4751b2c82d
15495b806ea4c0
hex2463b50a6d69

40010657721705 has 112 divisors (see below), whose sum is σ = 78786281939904. Its totient is φ = 19335911552640.

The previous prime is 40010657721703. The next prime is 40010657721823. The reversal of 40010657721705 is 50712775601004.

40010657721705 is a `hidden beast` number, since 4 + 0 + 0 + 1 + 0 + 6 + 577 + 2 + 1 + 70 + 5 = 666.

It is not a de Polignac number, because 40010657721705 - 21 = 40010657721703 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (40010657721703) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 10683927 + ... + 13934403.

It is an arithmetic number, because the mean of its divisors is an integer number (703448945892).

Almost surely, 240010657721705 is an apocalyptic number.

40010657721705 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40010657721705 is a deficient number, since it is larger than the sum of its proper divisors (38775624218199).

40010657721705 is a wasteful number, since it uses less digits than its factorization.

40010657721705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3250818 (or 3250803 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The spelling of 40010657721705 in words is "forty trillion, ten billion, six hundred fifty-seven million, seven hundred twenty-one thousand, seven hundred five".

Divisors: 1 3 5 9 11 15 27 33 45 55 81 99 135 165 243 297 307 405 495 729 891 921 1215 1485 1535 2673 2763 3377 3645 4455 4605 8019 8289 10131 13365 13815 16885 24867 30393 40095 41445 50655 74601 91179 124335 151965 223803 273537 373005 455895 820611 1119015 1367685 2461833 3250477 4103055 9751431 12309165 16252385 29254293 35755247 48757155 87762879 107265741 146271465 178776235 263288637 321797223 438814395 536328705 789865911 965391669 997896439 1316443185 1608986115 2369597733 2896175007 2993689317 3949329555 4826958345 4989482195 8688525021 8981067951 10976860829 11847988665 14480875035 14968446585 26065575063 26943203853 32930582487 43442625105 44905339755 54884304145 80829611559 98791747461 130327875315 134716019265 164652912435 242488834677 296375242383 404148057795 493958737305 727466504031 889125727149 1212444173385 1481876211915 2667377181447 3637332520155 4445628635745 8002131544341 13336885907235 40010657721705