Search a number
-
+
4324212141440 = 27531217954241
BaseRepresentation
bin111110111011001111001…
…000001110110110000000
3120022101112210000221201112
4332323033020032312000
51031321441302011230
613110303213222452
7624262002512222
oct76731710166600
916271483027645
104324212141440
111417985027114
1259a089a91a28
13254a04b6c149
1410d415d40412
15777390b1d95
hex3eecf20ed80

4324212141440 has 64 divisors (see below), whose sum is σ = 10671039688320. Its totient is φ = 1673888563200.

The previous prime is 4324212141421. The next prime is 4324212141463. The reversal of 4324212141440 is 441412124234.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×43242121414402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 4324212141397 and 4324212141406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108957281 + ... + 108996960.

It is an arithmetic number, because the mean of its divisors is an integer number (166734995130).

Almost surely, 24324212141440 is an apocalyptic number.

4324212141440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4324212141440 is an abundant number, since it is smaller than the sum of its proper divisors (6346827546880).

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

4324212141440 is a wasteful number, since it uses less digits than its factorization.

4324212141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217954291 (or 217954279 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 4324212141440 its reverse (441412124234), we get a palindrome (4765624265674).

The spelling of 4324212141440 in words is "four trillion, three hundred twenty-four billion, two hundred twelve million, one hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 310 320 496 620 640 992 1240 1984 2480 3968 4960 9920 19840 217954241 435908482 871816964 1089771205 1743633928 2179542410 3487267856 4359084820 6756581471 6974535712 8718169640 13513162942 13949071424 17436339280 27026325884 27898142848 33782907355 34872678560 54052651768 67565814710 69745357120 108105303536 135131629420 139490714240 216210607072 270263258840 432421214144 540526517680 864842428288 1081053035360 2162106070720 4324212141440