Search a number
-
+
4021144002240 = 26359109459841
BaseRepresentation
bin111010100000111110110…
…111000001111011000000
3112020102021102212022020020
4322200332313001323000
51011340300331032430
612315142115213440
7563342461030401
oct72407667017300
915212242768206
104021144002240
1113103a2a5a492
1254b3a8ba7280
132322664bc471
14dc8a55399a8
156e8ec39eb10
hex3a83edc1ec0

4021144002240 has 112 divisors (see below), whose sum is σ = 12768561569760. Its totient is φ = 1072185016320.

The previous prime is 4021144002163. The next prime is 4021144002241. The reversal of 4021144002240 is 422004411204.

4021144002240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4021144002240.

It is not an unprimeable number, because it can be changed into a prime (4021144002241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8514720 + ... + 8974560.

Almost surely, 24021144002240 is an apocalyptic number.

4021144002240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4021144002240 is an abundant number, since it is smaller than the sum of its proper divisors (8747417567520).

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

4021144002240 is a wasteful number, since it uses less digits than its factorization.

4021144002240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468970 (or 468960 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 4021144002240 its reverse (422004411204), we get a palindrome (4443148413444).

The spelling of 4021144002240 in words is "four trillion, twenty-one billion, one hundred forty-four million, two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 9109 18218 27327 36436 45545 54654 72872 91090 109308 136635 145744 182180 218616 273270 291488 364360 437232 459841 546540 582976 728720 874464 919682 1093080 1379523 1457440 1748928 1839364 2186160 2299205 2759046 2914880 3678728 4372320 4598410 5518092 6897615 7357456 8744640 9196820 11036184 13795230 14714912 18393640 22072368 27590460 29429824 36787280 44144736 55180920 73574560 88289472 110361840 147149120 220723680 441447360 4188691669 8377383338 12566075007 16754766676 20943458345 25132150014 33509533352 41886916690 50264300028 62830375035 67019066704 83773833380 100528600056 125660750070 134038133408 167547666760 201057200112 251321500140 268076266816 335095333520 402114400224 502643000280 670190667040 804228800448 1005286000560 1340381334080 2010572001120 4021144002240