Search a number
-
+
420311422354152 = 23376737341100067
BaseRepresentation
bin101111110010001010110000…
…1000001100100001011101000
32001010012101020200211100202110
41133210111201001210023220
5420042340243110313102
64045532222443002320
7154350332604206640
oct13744254101441350
92033171220740673
10420311422354152
11111a1908947173a
123b183204b093a0
131506b273c25114
1475b1277a1b520
15338d3e833e86c
hex17e45610642e8

420311422354152 has 64 divisors (see below), whose sum is σ = 1218813506219520. Its totient is φ = 118296605009088.

The previous prime is 420311422354111. The next prime is 420311422354163. The reversal of 420311422354152 is 251453224113024.

It is a super-2 number, since 2×4203114223541522 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 420311422354152.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18670538778 + ... + 18670561289.

It is an arithmetic number, because the mean of its divisors is an integer number (19043961034680).

Almost surely, 2420311422354152 is an apocalyptic number.

420311422354152 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

420311422354152 is an abundant number, since it is smaller than the sum of its proper divisors (798502083865368).

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

420311422354152 is a wasteful number, since it uses less digits than its factorization.

420311422354152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37341100150 (or 37341100146 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

Adding to 420311422354152 its reverse (251453224113024), we get a palindrome (671764646467176).

The spelling of 420311422354152 in words is "four hundred twenty trillion, three hundred eleven billion, four hundred twenty-two million, three hundred fifty-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 67 84 134 168 201 268 402 469 536 804 938 1407 1608 1876 2814 3752 5628 11256 37341100067 74682200134 112023300201 149364400268 224046600402 261387700469 298728800536 448093200804 522775400938 784163101407 896186401608 1045550801876 1568326202814 2091101603752 2501853704489 3136652405628 5003707408978 6273304811256 7505561113467 10007414817956 15011122226934 17512975931423 20014829635912 30022244453868 35025951862846 52538927794269 60044488907736 70051903725692 105077855588538 140103807451384 210155711177076 420311422354152