Search a number
-
+
14136546160 = 2451125772531
BaseRepresentation
bin11010010101001101…
…01001001101110000
31100111012101221200201
431022212221031300
5212422423434120
610254431124544
71010213442202
oct151246511560
940435357621
1014136546160
115aa4791400
1228a6373754
1314439aa119
1498169c772
1557b10640a
hex34a9a9370

14136546160 has 120 divisors (see below), whose sum is σ = 36203964048. Its totient is φ = 5129625600.

The previous prime is 14136546121. The next prime is 14136546181. The reversal of 14136546160 is 6164563141.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5584095 + ... + 5586625.

Almost surely, 214136546160 is an apocalyptic number.

14136546160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14136546160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18101982024).

14136546160 is an abundant number, since it is smaller than the sum of its proper divisors (22067417888).

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

14136546160 is a wasteful number, since it uses less digits than its factorization.

14136546160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3143 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

It can be divided in two parts, 141365 and 46160, that multiplied together give a square (6525408400 = 807802).

The spelling of 14136546160 in words is "fourteen billion, one hundred thirty-six million, five hundred forty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 577 605 880 968 1154 1210 1936 2308 2420 2531 2885 4616 4840 5062 5770 6347 9232 9680 10124 11540 12655 12694 20248 23080 25310 25388 27841 31735 40496 46160 50620 50776 55682 63470 69817 101240 101552 111364 126940 139205 139634 202480 222728 253880 278410 279268 306251 349085 445456 507760 556820 558536 612502 698170 1113640 1117072 1225004 1396340 1460387 1531255 2227280 2450008 2792680 2920774 3062510 4900016 5585360 5841548 6125020 7301935 11683096 12250040 14603870 16064257 23366192 24500080 29207740 32128514 58415480 64257028 80321285 116830960 128514056 160642570 176706827 257028112 321285140 353413654 642570280 706827308 883534135 1285140560 1413654616 1767068270 2827309232 3534136540 7068273080 14136546160