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54014403114 = 23272413135683
BaseRepresentation
bin110010010011100000…
…100110001000101010
312011102100121222102200
4302103200212020222
51341110141344424
640451444041030
73621345564630
oct622340461052
9164370558380
1054014403114
11209a87a4581
12a575393176
13512a665199
142885953350
1516120128c9
hexc9382622a

54014403114 has 96 divisors (see below), whose sum is σ = 134757727104. Its totient is φ = 15316853760.

The previous prime is 54014403097. The next prime is 54014403133. The reversal of 54014403114 is 41130441045.

54014403114 is a `hidden beast` number, since 540 + 1 + 4 + 4 + 0 + 3 + 114 = 666.

It is a super-3 number, since 3×540144031143 (a number of 33 digits) contains 333 as substring.

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, 9501717 + ... + 9507399.

It is an arithmetic number, because the mean of its divisors is an integer number (1403726324).

Almost surely, 254014403114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54014403114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67378863552).

54014403114 is an abundant number, since it is smaller than the sum of its proper divisors (80743323990).

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

54014403114 is a wasteful number, since it uses less digits than its factorization.

54014403114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6252 (or 6249 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 54014403114 its reverse (41130441045), we get a palindrome (95144844159).

The spelling of 54014403114 in words is "fifty-four billion, fourteen million, four hundred three thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 241 313 482 626 723 939 1446 1687 1878 2169 2191 2817 3374 4338 4382 5061 5634 5683 6573 10122 11366 13146 15183 17049 19719 30366 34098 39438 39781 51147 75433 79562 102294 119343 150866 226299 238686 358029 452598 528031 678897 716058 1056062 1357794 1369603 1584093 1778779 2739206 3168186 3557558 4108809 4752279 5336337 8217618 9504558 9587221 10672674 12326427 12451453 16009011 19174442 24652854 24902906 28761663 32018022 37354359 57523326 74708718 86284989 112063077 172569978 224126154 428685739 857371478 1286057217 2572114434 3000800173 3858171651 6001600346 7716343302 9002400519 18004801038 27007201557 54014403114