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21214036430154 = 23219137871951929
BaseRepresentation
bin1001101001011010001110…
…00110110000110101001010
32210010001010200012010222200
410310231013012300311022
510240032321311231104
6113041332132101030
74316443412302551
oct464550706606512
983101120163880
1021214036430154
116839905574927
122467509a64776
13bab6238c42c9
14534a9ca22d98
1526bc5be9db39
hex134b471b0d4a

21214036430154 has 96 divisors (see below), whose sum is σ = 48742578144000. Its totient is φ = 6649379569152.

The previous prime is 21214036430123. The next prime is 21214036430183. The reversal of 21214036430154 is 45103463041212.

21214036430154 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 4 + 0 + 3 + 643 + 0 + 1 + 5 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 408494062 + ... + 408545990.

It is an arithmetic number, because the mean of its divisors is an integer number (507735189000).

Almost surely, 221214036430154 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21214036430154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24371289072000).

21214036430154 is an abundant number, since it is smaller than the sum of its proper divisors (27528541713846).

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

21214036430154 is a wasteful number, since it uses less digits than its factorization.

21214036430154 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60812 (or 60809 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 21214036430154 its reverse (45103463041212), we get a palindrome (66317499471366).

The spelling of 21214036430154 in words is "twenty-one trillion, two hundred fourteen billion, thirty-six million, four hundred thirty thousand, one hundred fifty-four".

Divisors: 1 2 3 6 9 18 19 38 57 114 137 171 274 342 411 822 1233 2466 2603 5206 7809 8719 15618 17438 23427 26157 46854 51929 52314 78471 103858 155787 156942 165661 311574 331322 467361 496983 934722 986651 993966 1194503 1490949 1973302 2389006 2959953 2981898 3583509 5919906 7114273 7167018 8879859 10750527 14228546 17759718 21342819 21501054 22695557 42685638 45391114 64028457 68086671 128056914 135171187 136173342 204260013 270342374 405513561 408520026 452768951 811027122 905537902 1216540683 1358306853 2433081366 2716613706 4074920559 8149841118 8602610069 17205220138 25807830207 51615660414 62029346287 77423490621 124058692574 154846981242 186088038861 372176077722 558264116583 1116528233166 1178557579453 2357115158906 3535672738359 7071345476718 10607018215077 21214036430154