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10212042214640 = 2457151120766819
BaseRepresentation
bin1001010010011010110100…
…1001100000110011110000
31100011021001210001211021102
42110212231021200303300
52314303230301332030
633415203013343532
72102536632415640
oct224465511406360
940137053054242
1010212042214640
1132879a266a322
12118b1b4337ba8
13590cb729ca96
142743a069a520
1512a98a6c5c45
hex949ad260cf0

10212042214640 has 80 divisors (see below), whose sum is σ = 27314556280320. Its totient is φ = 3478084358400.

The previous prime is 10212042214607. The next prime is 10212042214651. The reversal of 10212042214640 is 4641224021201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60298850 + ... + 60467969.

It is an arithmetic number, because the mean of its divisors is an integer number (341431953504).

Almost surely, 210212042214640 is an apocalyptic number.

10212042214640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212042214640 is an abundant number, since it is smaller than the sum of its proper divisors (17102514065680).

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

10212042214640 is a wasteful number, since it uses less digits than its factorization.

10212042214640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120766990 (or 120766984 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 10212042214640 its reverse (4641224021201), we get a palindrome (14853266235841).

The spelling of 10212042214640 in words is "ten trillion, two hundred twelve billion, forty-two million, two hundred fourteen thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 151 280 302 560 604 755 1057 1208 1510 2114 2416 3020 4228 5285 6040 8456 10570 12080 16912 21140 42280 84560 120766819 241533638 483067276 603834095 845367733 966134552 1207668190 1690735466 1932269104 2415336380 3381470932 4226838665 4830672760 6762941864 8453677330 9661345520 13525883728 16907354660 18235789669 33814709320 36471579338 67629418640 72943158676 91178948345 127650527683 145886317352 182357896690 255301055366 291772634704 364715793380 510602110732 638252638415 729431586760 1021204221464 1276505276830 1458863173520 2042408442928 2553010553660 5106021107320 10212042214640