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4123143404240 = 2457210271102407
BaseRepresentation
bin111011111111111110011…
…111110111101011010000
3112121011112221201210101212
4323333332133313223100
51020023144202413430
612434051304315252
7603613223450300
oct73777637675320
915534487653355
104123143404240
11134a684a63933
12567114472b28
1323ba702c6cc3
141037bdd3b600
15723bbdceb95
hex3bffe7f7ad0

4123143404240 has 120 divisors (see below), whose sum is σ = 11152614615552. Its totient is φ = 1413497729280.

The previous prime is 4123143404227. The next prime is 4123143404273. The reversal of 4123143404240 is 424043413214.

It is a junction number, because it is equal to n+sod(n) for n = 4123143404197 and 4123143404206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40211117 + ... + 40313523.

Almost surely, 24123143404240 is an apocalyptic number.

4123143404240 is a gapful number since it is divisible by the number (40) 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 4123143404240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5576307307776).

4123143404240 is an abundant number, since it is smaller than the sum of its proper divisors (7029471211312).

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

4123143404240 is a wasteful number, since it uses less digits than its factorization.

4123143404240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112705 (or 112692 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 4123143404240 its reverse (424043413214), we get a palindrome (4547186817454).

The spelling of 4123143404240 in words is "four trillion, one hundred twenty-three billion, one hundred forty-three million, four hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 3920 10271 20542 41084 51355 71897 82168 102407 102710 143794 164336 204814 205420 287588 359485 409628 410840 503279 512035 575176 716849 718970 819256 821680 1006558 1024070 1150352 1433698 1437940 1638512 2013116 2048140 2516395 2867396 2875880 3584245 4026232 4096280 5017943 5032790 5734792 5751760 7168490 8052464 8192560 10035886 10065580 11469584 14336980 20071772 20131160 25089715 28673960 40143544 40262320 50179430 57347920 80287088 100358860 200717720 401435440 1051822297 2103644594 4207289188 5259111485 7362756079 8414578376 10518222970 14725512158 16829156752 21036445940 29451024316 36813780395 42072891880 51539292553 58902048632 73627560790 84145783760 103078585106 117804097264 147255121580 206157170212 257696462765 294510243160 412314340424 515392925530 589020486320 824628680848 1030785851060 2061571702120 4123143404240