Search a number
-
+
541043660640 = 25357223003557
BaseRepresentation
bin1111101111110001011…
…01110001011101100000
31220201112021002200222210
413313320231301131200
532331024134120030
61052315123202120
754042365143500
oct7677055613540
91821467080883
10541043660640
1119950105019a
1288a36516340
133c0354b62c2
141c288265a00
15e119072bb0
hex7df8b71760

541043660640 has 144 divisors (see below), whose sum is σ = 1982538642672. Its totient is φ = 123667117056.

The previous prime is 541043660617. The next prime is 541043660653. The reversal of 541043660640 is 46066340145.

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 23 ways as a sum of consecutive naturals, for example, 11478259 + ... + 11525298.

It is an arithmetic number, because the mean of its divisors is an integer number (13767629463).

Almost surely, 2541043660640 is an apocalyptic number.

It is an amenable number.

541043660640 is an abundant number, since it is smaller than the sum of its proper divisors (1441494982032).

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

541043660640 is a wasteful number, since it uses less digits than its factorization.

541043660640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23003589 (or 23003574 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 541043660640 in words is "five hundred forty-one billion, forty-three million, six hundred sixty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 70 80 84 96 98 105 112 120 140 147 160 168 196 210 224 240 245 280 294 336 392 420 480 490 560 588 672 735 784 840 980 1120 1176 1470 1568 1680 1960 2352 2940 3360 3920 4704 5880 7840 11760 23520 23003557 46007114 69010671 92014228 115017785 138021342 161024899 184028456 230035570 276042684 322049798 345053355 368056912 460071140 483074697 552085368 644099596 690106710 736113824 805124495 920142280 966149394 1104170736 1127174293 1288199192 1380213420 1610248990 1840284560 1932298788 2208341472 2254348586 2415373485 2576398384 2760426840 3220497980 3381522879 3680569120 3864597576 4508697172 4830746970 5152796768 5520853680 5635871465 6440995960 6763045758 7729195152 9017394344 9661493940 11041707360 11271742930 12881991920 13526091516 15458390304 16907614395 18034788688 19322987880 22543485860 25763983840 27052183032 33815228790 36069577376 38645975760 45086971720 54104366064 67630457580 77291951520 90173943440 108208732128 135260915160 180347886880 270521830320 541043660640