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1436121104 = 2411172341509
BaseRepresentation
bin101010110011001…
…0111100000010000
310201002022111210112
41111212113200100
510420121333404
6354301020452
750405553665
oct12546274020
93632274715
101436121104
11677720050
12340b54728
1319b6b7902
14d8a35a6c
158612c56e
hex55997810

1436121104 has 160 divisors (see below), whose sum is σ = 3442279680. Its totient is φ = 572211200.

The previous prime is 1436121103. The next prime is 1436121157. The reversal of 1436121104 is 4011216341.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 1436121104.

It is not an unprimeable number, because it can be changed into a prime (1436121103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2821202 + ... + 2821710.

It is an arithmetic number, because the mean of its divisors is an integer number (21514248).

Almost surely, 21436121104 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 1436121104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1721139840).

1436121104 is an abundant number, since it is smaller than the sum of its proper divisors (2006158576).

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

1436121104 is a wasteful number, since it uses less digits than its factorization.

1436121104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 1436121104 is about 37896.1885154695. The cubic root of 1436121104 is about 1128.2283837483.

Adding to 1436121104 its reverse (4011216341), we get a palindrome (5447337445).

The spelling of 1436121104 in words is "one billion, four hundred thirty-six million, one hundred twenty-one thousand, one hundred four".

Divisors: 1 2 4 8 11 16 17 22 23 34 41 44 46 68 82 88 92 136 164 176 184 187 253 272 328 368 374 391 451 506 509 656 697 748 782 902 943 1012 1018 1394 1496 1564 1804 1886 2024 2036 2788 2992 3128 3608 3772 4048 4072 4301 5576 5599 6256 7216 7544 7667 8144 8602 8653 10373 11152 11198 11707 15088 15334 16031 17204 17306 20746 20869 22396 23414 30668 32062 34408 34612 41492 41738 44792 46828 61336 64124 68816 69224 82984 83476 89584 93656 95183 122672 128248 128777 138448 165968 166952 176341 187312 190366 199019 229559 256496 257554 333904 352682 354773 380732 398038 459118 479987 515108 705364 709546 761464 796076 918236 959974 1030216 1410728 1419092 1522928 1592152 1836472 1919948 2060432 2189209 2821456 2838184 3184304 3672944 3839896 3902503 4378418 5279857 5676368 7679792 7805006 8159779 8756836 10559714 15610012 16319558 17513672 21119428 31220024 32639116 35027344 42238856 62440048 65278232 84477712 89757569 130556464 179515138 359030276 718060552 1436121104