Search a number
-
+
1441570132464 = 243711390035209
BaseRepresentation
bin10100111110100100010…
…001101001000111110000
312002210221111112022210120
4110332210101221013300
5142104313423214324
63022125334530240
7206102310643350
oct24764421510760
95083844468716
101441570132464
11506403838070
121b3476b06980
13a5c2a0655a7
144dab5534b60
15277728e6179
hex14fa44691f0

1441570132464 has 80 divisors (see below), whose sum is σ = 4642979139840. Its totient is φ = 374433799680.

The previous prime is 1441570132459. The next prime is 1441570132469. The reversal of 1441570132464 is 4642310751441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1441570132459) and next prime (1441570132469).

It is a super-2 number, since 2×14415701324642 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1441570132469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195013909 + ... + 195021300.

It is an arithmetic number, because the mean of its divisors is an integer number (58037239248).

Almost surely, 21441570132464 is an apocalyptic number.

1441570132464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1441570132464 is an abundant number, since it is smaller than the sum of its proper divisors (3201409007376).

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

1441570132464 is a wasteful number, since it uses less digits than its factorization.

1441570132464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390035238 (or 390035232 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 1441570132464 in words is "one trillion, four hundred forty-one billion, five hundred seventy million, one hundred thirty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 390035209 780070418 1170105627 1560140836 2340211254 2730246463 3120281672 4290387299 4680422508 5460492926 6240563344 8190739389 8580774598 9360845016 10920985852 12871161897 16381478778 17161549196 18721690032 21841971704 25742323794 30032711093 32762957556 34323098392 43683943408 51484647588 60065422186 65525915112 68646196784 90098133279 102969295176 120130844372 131051830224 180196266558 205938590352 240261688744 360392533116 480523377488 720785066232 1441570132464