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450204502440 = 233571148723431
BaseRepresentation
bin1101000110100100100…
…01111000100110101000
31121001001112012100020010
412203102101320212220
524334004323034230
6542453204531520
744345326062540
oct6432221704650
91531045170203
10450204502440
11163a26783130
12733046b0ba0
13335b9880814
1417b0bb28320
15ba9e1d69b0
hex68d24789a8

450204502440 has 128 divisors (see below), whose sum is σ = 1683881809920. Its totient is φ = 93548985600.

The previous prime is 450204502439. The next prime is 450204502441. The reversal of 450204502440 is 44205402054.

It is an interprime number because it is at equal distance from previous prime (450204502439) and next prime (450204502441).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 450204502398 and 450204502407.

It is not an unprimeable number, because it can be changed into a prime (450204502441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24352476 + ... + 24370955.

It is an arithmetic number, because the mean of its divisors is an integer number (13155326640).

Almost surely, 2450204502440 is an apocalyptic number.

450204502440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450204502440 is an abundant number, since it is smaller than the sum of its proper divisors (1233677307480).

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

450204502440 is a wasteful number, since it uses less digits than its factorization.

450204502440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48723463 (or 48723459 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

Adding to 450204502440 its reverse (44205402054), we get a palindrome (494409904494).

The spelling of 450204502440 in words is "four hundred fifty billion, two hundred four million, five hundred two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 9240 48723431 97446862 146170293 194893724 243617155 292340586 341064017 389787448 487234310 535957741 584681172 682128034 730851465 974468620 1023192051 1071915482 1169362344 1364256068 1461702930 1607873223 1705320085 1948937240 2046384102 2143830964 2679788705 2728512136 2923405860 3215746446 3410640170 3751704187 4092768204 4287661928 5115960255 5359577410 5846811720 6431492892 6821280340 7503408374 8039366115 8185536408 10231920510 10719154820 11255112561 12862985784 13642560680 15006816748 16078732230 18758520935 20463841020 21438309640 22510225122 30013633496 32157464460 37517041870 40927682040 45020450244 56275562805 64314928920 75034083740 90040900488 112551125610 150068167480 225102251220 450204502440