Search a number
-
+
54434555543445 = 3573117457128983
BaseRepresentation
bin11000110000010000010000…
…10110001011111110010101
321010201220002202202211020020
430120020020112023332111
524113323432204342240
6311434520052455353
714315524013541000
oct1430101026137625
9233656082684206
1054434555543445
1116387624553320
12613194661a559
13244b205c74c6c
14d6290a19c537
15645e7b04d0d0
hex31820858bf95

54434555543445 has 128 divisors (see below), whose sum is σ = 110818099814400. Its totient is φ = 22618943907840.

The previous prime is 54434555543387. The next prime is 54434555543477.

54434555543445 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54434555543445 - 224 = 54434538766229 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 421964424 + ... + 422093406.

It is an arithmetic number, because the mean of its divisors is an integer number (865766404800).

Almost surely, 254434555543445 is an apocalyptic number.

54434555543445 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54434555543445 is an abundant number, since it is smaller than the sum of its proper divisors (56383544270955).

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

54434555543445 is a wasteful number, since it uses less digits than its factorization.

54434555543445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136480 (or 136466 counting only the distinct ones).

The product of its digits is 576000000, while the sum is 60.

The spelling of 54434555543445 in words is "fifty-four trillion, four hundred thirty-four billion, five hundred fifty-five million, five hundred forty-three thousand, four hundred forty-five".

Divisors: 1 3 5 7 11 15 21 33 35 49 55 77 105 147 165 231 245 343 385 539 735 1029 1155 1617 1715 2695 3773 5145 7457 8085 11319 18865 22371 37285 52199 56595 82027 111855 128983 156597 246081 260995 365393 386949 410135 574189 644915 782985 902881 1096179 1230405 1418813 1722567 1826965 1934745 2557751 2708643 2870945 4019323 4256439 4514405 5480895 6320167 7094065 7673253 8612835 9931691 12057969 12788755 13543215 18960501 20096615 21282195 28135261 29795073 31600835 38366265 44241169 49658455 60289845 69521837 84405783 94802505 132723507 140676305 148975365 208565511 221205845 347609185 422028915 486652859 663617535 961826231 1042827555 1459958577 2433264295 2885478693 4809131155 6732783617 7299792885 10580088541 14427393465 20198350851 31740265623 33663918085 47129485319 52900442705 74060619787 100991754255 141388455957 158701328115 222181859361 235647426595 329906397233 370303098935 518424338509 706942279785 989719191699 1110909296805 1555273015527 1649531986165 2592121692545 3628970369563 4948595958495 7776365077635 10886911108689 18144851847815 54434555543445