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420552441144 = 2332114993106349
BaseRepresentation
bin1100001111010101110…
…00001111110100111000
31111012112000121120000200
412013222320033310320
523342242411104034
6521111002202200
742245452524333
oct6075270176470
91435460546020
10420552441144
1115239a986650
126960a1b3360
13308725cc614
14164d79b161a
15ae15ddaa99
hex61eae0fd38

420552441144 has 96 divisors (see below), whose sum is σ = 1242801846000. Its totient is φ = 127413411840.

The previous prime is 420552441137. The next prime is 420552441163. The reversal of 420552441144 is 441144255024.

420552441144 is a `hidden beast` number, since 4 + 20 + 5 + 52 + 441 + 144 = 666.

It is a super-3 number, since 3×4205524411443 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 420552441099 and 420552441108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3901282 + ... + 4007630.

Almost surely, 2420552441144 is an apocalyptic number.

420552441144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

420552441144 is an abundant number, since it is smaller than the sum of its proper divisors (822249404856).

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

420552441144 is a wasteful number, since it uses less digits than its factorization.

420552441144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111365 (or 111358 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

Adding to 420552441144 its reverse (441144255024), we get a palindrome (861696696168).

The spelling of 420552441144 in words is "four hundred twenty billion, five hundred fifty-two million, four hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 4993 9986 14979 19972 29958 39944 44937 54923 59916 89874 106349 109846 119832 164769 179748 212698 219692 319047 329538 359496 425396 439384 494307 638094 659076 850792 957141 988614 1169839 1276188 1318152 1914282 1977228 2339678 2552376 3509517 3828564 3954456 4679356 7019034 7657128 9358712 10528551 14038068 21057102 28076136 42114204 84228408 531000557 1062001114 1593001671 2124002228 3186003342 4248004456 4779005013 5841006127 6372006684 9558010026 11682012254 12744013368 17523018381 19116020052 23364024508 35046036762 38232040104 46728049016 52569055143 70092073524 105138110286 140184147048 210276220572 420552441144