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245330430240 = 2535773015009
BaseRepresentation
bin1110010001111011010…
…1010100100100100000
3212110020111111010122010
43210132311110210200
513004414042231430
6304411522312520
723503342151520
oct3443665244440
9773214433563
10245330430240
11950536a5395
123b6687b8740
131a199823b6c
14bc345a5680
1565acdd2cb0
hex391ed54920

245330430240 has 96 divisors (see below), whose sum is σ = 883189560960. Its totient is φ = 56075526144.

The previous prime is 245330430239. The next prime is 245330430259. The reversal of 245330430240 is 42034033542.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 245330430198 and 245330430207.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 36504145 + ... + 36510864.

It is an arithmetic number, because the mean of its divisors is an integer number (9199891260).

Almost surely, 2245330430240 is an apocalyptic number.

245330430240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245330430240 is an abundant number, since it is smaller than the sum of its proper divisors (637859130720).

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

245330430240 is a wasteful number, since it uses less digits than its factorization.

245330430240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73015034 (or 73015026 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

Adding to 245330430240 its reverse (42034033542), we get a palindrome (287364463782).

The spelling of 245330430240 in words is "two hundred forty-five billion, three hundred thirty million, four hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 73015009 146030018 219045027 292060036 365075045 438090054 511105063 584120072 730150090 876180108 1022210126 1095225135 1168240144 1460300180 1533315189 1752360216 2044420252 2190450270 2336480288 2555525315 2920600360 3066630378 3504720432 4088840504 4380900540 5111050630 5841200720 6133260756 7009440864 7666575945 8177681008 8761801080 10222101260 11682401440 12266521512 15333151890 16355362016 17523602160 20444202520 24533043024 30666303780 35047204320 40888405040 49066086048 61332607560 81776810080 122665215120 245330430240