Search a number
-
+
145234244202544 = 2473777234537987
BaseRepresentation
bin100001000001011011111011…
…100010001111000000110000
3201001020020222012011002020201
4201001123323202033000300
5123014004213003440134
61232515405105444544
742406553650645360
oct4101337342170060
9631206865132221
10145234244202544
1142304551670142
1214357452640754
1363066b8570273
1427c1536b209a0
1511bcd216bc914
hex8416fb88f030

145234244202544 has 80 divisors (see below), whose sum is σ = 330324575596288. Its totient is φ = 60553142597376.

The previous prime is 145234244202491. The next prime is 145234244202557. The reversal of 145234244202544 is 445202442432541.

It is a junction number, because it is equal to n+sod(n) for n = 145234244202494 and 145234244202503.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29735119 + ... + 34273105.

Almost surely, 2145234244202544 is an apocalyptic number.

145234244202544 is a gapful number since it is divisible by the number (14) 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 145234244202544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165162287798144).

145234244202544 is an abundant number, since it is smaller than the sum of its proper divisors (185090331393744).

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

145234244202544 is a wasteful number, since it uses less digits than its factorization.

145234244202544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4545762 (or 4545756 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 46.

The spelling of 145234244202544 in words is "one hundred forty-five trillion, two hundred thirty-four billion, two hundred forty-four million, two hundred two thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 112 148 259 296 518 592 1036 2072 4144 7723 15446 30892 54061 61784 108122 123568 216244 285751 432488 571502 864976 1143004 2000257 2286008 4000514 4537987 4572016 8001028 9075974 16002056 18151948 31765909 32004112 36303896 63531818 72607792 127063636 167905519 254127272 335811038 508254544 671622076 1175338633 1343244152 2350677266 2686488304 4701354532 9402709064 18805418128 35046873601 70093747202 140187494404 245328115207 280374988808 490656230414 560749977616 981312460828 1296734323237 1962624921656 2593468646474 3925249843312 5186937292948 9077140262659 10373874585896 18154280525318 20747749171792 36308561050636 72617122101272 145234244202544