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403142421003400 = 235213374190669657
BaseRepresentation
bin101101110101001111110100…
…0110011000011110010001000
31221212102001001110202222122201
41123222133220303003302020
5410320041134234102100
63545225023234525544
7150626036003510611
oct13352375063036210
91855361043688581
10403142421003400
111074a9816834171
123926b8511368b4
13143c42233a0620
14717a2a94d8c08
1531919d5db836a
hex16ea7e8cc3c88

403142421003400 has 96 divisors (see below), whose sum is σ = 1036687859996040. Its totient is φ = 144829543311360.

The previous prime is 403142421003373. The next prime is 403142421003403. The reversal of 403142421003400 is 4300124241304.

It can be written as a sum of positive squares in 12 ways, for example, as 2766892906404 + 400375528096996 = 1663398^2 + 20009386^2 .

It is a super-2 number, since 2×4031424210034002 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (403142421003403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2095238629 + ... + 2095431028.

Almost surely, 2403142421003400 is an apocalyptic number.

403142421003400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

403142421003400 is an abundant number, since it is smaller than the sum of its proper divisors (633545438992640).

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

403142421003400 is a wasteful number, since it uses less digits than its factorization.

403142421003400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4190669723 (or 4190669714 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 403142421003400 its reverse (4300124241304), we get a palindrome (407442545244704).

The spelling of 403142421003400 in words is "four hundred three trillion, one hundred forty-two billion, four hundred twenty-one million, three thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 37 40 50 52 65 74 100 104 130 148 185 200 260 296 325 370 481 520 650 740 925 962 1300 1480 1850 1924 2405 2600 3700 3848 4810 7400 9620 12025 19240 24050 48100 96200 4190669657 8381339314 16762678628 20953348285 33525357256 41906696570 54478705541 83813393140 104766741425 108957411082 155054777309 167626786280 209533482850 217914822164 272393527705 310109554618 419066965700 435829644328 544787055410 620219109236 775273886545 838133931400 1089574110820 1240438218472 1361967638525 1550547773090 2015712105017 2179148221640 2723935277050 3101095546180 3876369432725 4031424210034 5447870554100 6202191092360 7752738865450 8062848420068 10078560525085 10895741108200 15505477730900 16125696840136 20157121050170 31010955461800 40314242100340 50392802625425 80628484200680 100785605250850 201571210501700 403142421003400