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4240203142400 = 28521036432347
BaseRepresentation
bin111101101100111111110…
…011010101010100000000
3120000100201001021121220122
4331230333303111110000
51023432414001024100
613003531124555412
7615226121013611
oct75547763252400
916010631247818
104240203142400
11139529514a795
12585943552b68
13249b072b4864
1410932698bc08
157546db91985
hex3db3fcd5500

4240203142400 has 108 divisors (see below), whose sum is σ = 10597061765472. Its totient is φ = 1679614187520.

The previous prime is 4240203142397. The next prime is 4240203142457. The reversal of 4240203142400 is 42413020424.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4240203142400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2556974 + ... + 3875373.

Almost surely, 24240203142400 is an apocalyptic number.

4240203142400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4240203142400 is an abundant number, since it is smaller than the sum of its proper divisors (6356858623072).

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

4240203142400 is a wasteful number, since it uses less digits than its factorization.

4240203142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6432476 (or 6432457 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 4240203142400 its reverse (42413020424), we get a palindrome (4282616162824).

The spelling of 4240203142400 in words is "four trillion, two hundred forty billion, two hundred three million, one hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 103 128 160 200 206 256 320 400 412 515 640 800 824 1030 1280 1600 1648 2060 2575 3200 3296 4120 5150 6400 6592 8240 10300 13184 16480 20600 26368 32960 41200 65920 82400 131840 164800 329600 659200 6432347 12864694 25729388 32161735 51458776 64323470 102917552 128646940 160808675 205835104 257293880 321617350 411670208 514587760 643234700 662531741 823340416 1029175520 1286469400 1325063482 1646680832 2058351040 2572938800 2650126964 3312658705 4116702080 5145877600 5300253928 6625317410 8233404160 10291755200 10600507856 13250634820 16563293525 20583510400 21201015712 26501269640 33126587050 41167020800 42402031424 53002539280 66253174100 84804062848 106005078560 132506348200 169608125696 212010157120 265012696400 424020314240 530025392800 848040628480 1060050785600 2120101571200 4240203142400