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2041101341040 = 243567281451723
BaseRepresentation
bin11101101100111011000…
…111101101000101110000
321020010102212021022100110
4131230323013231011300
5231420133420403130
64201400301221320
7300315252065466
oct35547307550560
97203385238313
102041101341040
1171769854a733
1228b6b4861840
1311a623846b08
1470b0b428836
1538161512ab0
hex1db3b1ed170

2041101341040 has 160 divisors (see below), whose sum is σ = 6444721011456. Its totient is φ = 534260643840.

The previous prime is 2041101340987. The next prime is 2041101341077. The reversal of 2041101341040 is 401431011402.

It is a junction number, because it is equal to n+sod(n) for n = 2041101340998 and 2041101341016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4292619 + ... + 4744341.

Almost surely, 22041101341040 is an apocalyptic number.

2041101341040 is a gapful number since it is divisible by the number (20) 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 2041101341040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3222360505728).

2041101341040 is an abundant number, since it is smaller than the sum of its proper divisors (4403619670416).

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

2041101341040 is a wasteful number, since it uses less digits than its factorization.

2041101341040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452087 (or 452081 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 2041101341040 its reverse (401431011402), we get a palindrome (2442532352442).

The spelling of 2041101341040 in words is "two trillion, forty-one billion, one hundred one million, three hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 67 80 120 134 201 240 268 281 335 402 536 562 670 804 843 1005 1072 1124 1340 1405 1608 1686 2010 2248 2680 2810 3216 3372 4020 4215 4496 5360 5620 6744 8040 8430 11240 13488 16080 16860 18827 22480 33720 37654 56481 67440 75308 94135 112962 150616 188270 225924 282405 301232 376540 451723 451848 564810 753080 903446 903696 1129620 1355169 1506160 1806892 2258615 2259240 2710338 3613784 4517230 4518480 5420676 6775845 7227568 9034460 10841352 13551690 18068920 21682704 27103380 30265441 36137840 54206760 60530882 90796323 108413520 121061764 126934163 151327205 181592646 242123528 253868326 302654410 363185292 380802489 453981615 484247056 507736652 605308820 634670815 726370584 761604978 907963230 1015473304 1210617640 1269341630 1452741168 1523209956 1815926460 1904012445 2030946608 2421235280 2538683260 3046419912 3631852920 3808024890 5077366520 6092839824 7263705840 7616049780 8504588921 10154733040 15232099560 17009177842 25513766763 30464199120 34018355684 42522944605 51027533526 68036711368 85045889210 102055067052 127568833815 136073422736 170091778420 204110134104 255137667630 340183556840 408220268208 510275335260 680367113680 1020550670520 2041101341040