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541025435412 = 2232711401486721
BaseRepresentation
bin1111101111101111010…
…00001111111100010100
31220201110222210202200100
413313313220033330110
532331010002413122
61052313232414100
754042054215640
oct7676750177424
91821428722610
10541025435412
111994a1832320
1288a303a7330
133c0317a4947
141c285a7dc20
15e117672aac
hex7df7a0ff14

541025435412 has 144 divisors (see below), whose sum is σ = 1709305363584. Its totient is φ = 140175360000.

The previous prime is 541025435411. The next prime is 541025435417. The reversal of 541025435412 is 214534520145.

Adding to 541025435412 its reverse (214534520145), we get a palindrome (755559955557).

541025435412 is a `hidden beast` number, since 5 + 4 + 102 + 5 + 4 + 3 + 541 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541025435411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 868212 + ... + 1354932.

It is an arithmetic number, because the mean of its divisors is an integer number (11870176136).

Almost surely, 2541025435412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541025435412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854652681792).

541025435412 is an abundant number, since it is smaller than the sum of its proper divisors (1168279928172).

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

541025435412 is a wasteful number, since it uses less digits than its factorization.

541025435412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487150 (or 487145 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 541025435412 in words is "five hundred forty-one billion, twenty-five million, four hundred thirty-five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 401 462 693 802 924 1203 1386 1604 2406 2772 2807 3609 4411 4812 5614 7218 8421 8822 11228 13233 14436 16842 17644 25263 26466 30877 33684 39699 50526 52932 61754 79398 92631 101052 123508 158796 185262 277893 370524 486721 555786 973442 1111572 1460163 1946884 2920326 3407047 4380489 5353931 5840652 6814094 8760978 10221141 10707862 13628188 16061793 17521956 20442282 21415724 30663423 32123586 37477517 40884564 48185379 61326846 64247172 74955034 96370758 112432551 122653692 149910068 192741516 195175121 224865102 337297653 390350242 449730204 585525363 674595306 780700484 1171050726 1349190612 1366225847 1756576089 2146926331 2342101452 2732451694 3513152178 4098677541 4293852662 5464903388 6440778993 7026304356 8197355082 8587705324 12296032623 12881557986 15028484317 16394710164 19322336979 24592065246 25763115972 30056968634 38644673958 45085452951 49184130492 60113937268 77289347916 90170905902 135256358853 180341811804 270512717706 541025435412