Search a number
-
+
141001001040000 = 27354587504171
BaseRepresentation
bin100000000011110101011010…
…100101000111100010000000
3200111020120020012022001210210
4200003311122211013202000
5121440130022231240000
61215514544325154120
741461662151530063
oct4003653245074200
9614216205261723
10141001001040000
1140a22209220322
1213992b31b5b940
13608a4501bb8aa
1426b66b06728da
151147b5da8c350
hex803d5a947880

141001001040000 has 160 divisors (see below), whose sum is σ = 468017573498640. Its totient is φ = 37600266880000.

The previous prime is 141001001039923. The next prime is 141001001040007. The reversal of 141001001040000 is 40100100141.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (141001001040007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 293512086 + ... + 293992085.

Almost surely, 2141001001040000 is an apocalyptic number.

141001001040000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141001001040000 is an abundant number, since it is smaller than the sum of its proper divisors (327016572458640).

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

141001001040000 is an frugal number, since it uses more digits than its factorization.

141001001040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587504208 (or 587504181 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 141001001040000 its reverse (40100100141), we get a palindrome (141041101140141).

The spelling of 141001001040000 in words is "one hundred forty-one trillion, one billion, one million, forty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 625 640 750 800 960 1000 1200 1250 1500 1600 1875 1920 2000 2400 2500 3000 3200 3750 4000 4800 5000 6000 7500 8000 9600 10000 12000 15000 16000 20000 24000 30000 40000 48000 60000 80000 120000 240000 587504171 1175008342 1762512513 2350016684 2937520855 3525025026 4700033368 5875041710 7050050052 8812562565 9400066736 11750083420 14100100104 14687604275 17625125130 18800133472 23500166840 28200200208 29375208550 35250250260 37600266944 44062812825 47000333680 56400400416 58750417100 70500500520 73438021375 75200533888 88125625650 94000667360 112800800832 117500834200 141001001040 146876042750 176251251300 188001334720 220314064125 225601601664 235001668400 282002002080 293752085500 352502502600 367190106875 376002669440 440628128250 470003336800 564004004160 587504171000 705005005200 734380213750 881256256500 940006673600 1101570320625 1128008008320 1175008342000 1410010010400 1468760427500 1762512513000 1880013347200 2203140641250 2350016684000 2820020020800 2937520855000 3525025026000 4406281282500 4700033368000 5640040041600 5875041710000 7050050052000 8812562565000 9400066736000 11750083420000 14100100104000 17625125130000 23500166840000 28200200208000 35250250260000 47000333680000 70500500520000 141001001040000