Search a number
-
+
54141354434336 = 2513279146631131
BaseRepresentation
bin11000100111101110001000…
…01100101101111100100000
321002200212022002011020102212
430103313010030231330200
524044022443213344321
6311052110031301252
714255404143330551
oct1423670414557440
9232625262136385
1054141354434336
1116284246130414
1260a4b5a07a828
13242967a897220
14d52653dc6328
1563d51a6d055b
hex313dc432df20

54141354434336 has 48 divisors (see below), whose sum is σ = 114831214319808. Its totient is φ = 24979363718400.

The previous prime is 54141354434329. The next prime is 54141354434339. The reversal of 54141354434336 is 63343445314145.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (54141354434339) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22154510 + ... + 24476621.

It is an arithmetic number, because the mean of its divisors is an integer number (2392316964996).

Almost surely, 254141354434336 is an apocalyptic number.

It is an amenable number.

54141354434336 is an abundant number, since it is smaller than the sum of its proper divisors (60689859885472).

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

54141354434336 is a wasteful number, since it uses less digits than its factorization.

54141354434336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46633945 (or 46633937 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 50.

The spelling of 54141354434336 in words is "fifty-four trillion, one hundred forty-one billion, three hundred fifty-four million, four hundred thirty-four thousand, three hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 2791 5582 11164 22328 36283 44656 72566 89312 145132 290264 580528 1161056 46631131 93262262 186524524 373049048 606204703 746098096 1212409406 1492196192 2424818812 4849637624 9699275248 19398550496 130147486621 260294973242 520589946484 1041179892968 1691917326073 2082359785936 3383834652146 4164719571872 6767669304292 13535338608584 27070677217168 54141354434336