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245200155440 = 245113108724953
BaseRepresentation
bin1110010001011100010…
…0010111001100110000
3212102220102100111012112
43210113010113030300
513004132214433230
6304350550144452
723500200634562
oct3442704271460
9772812314175
10245200155440
1194a97105a69
123b631052128
131a178840296
14bc21173332
1565a174cd95
hex3917117330

245200155440 has 80 divisors (see below), whose sum is σ = 575687582208. Its totient is φ = 97118773248.

The previous prime is 245200155397. The next prime is 245200155451. The reversal of 245200155440 is 44551002542.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×2452001554403 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 245200155397 and 245200155406.

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, 9814004 + ... + 9838956.

Almost surely, 2245200155440 is an apocalyptic number.

245200155440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245200155440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287843791104).

245200155440 is an abundant number, since it is smaller than the sum of its proper divisors (330487426768).

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

245200155440 is a wasteful number, since it uses less digits than its factorization.

245200155440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26166 (or 26160 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 32.

Adding to 245200155440 its reverse (44551002542), we get a palindrome (289751157982).

The spelling of 245200155440 in words is "two hundred forty-five billion, two hundred million, one hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 452 565 904 1087 1130 1808 2174 2260 4348 4520 5435 8696 9040 10870 17392 21740 24953 43480 49906 86960 99812 122831 124765 199624 245662 249530 399248 491324 499060 614155 982648 998120 1228310 1965296 1996240 2456620 2819689 4913240 5639378 9826480 11278756 14098445 22557512 27123911 28196890 45115024 54247822 56393780 108495644 112787560 135619555 216991288 225575120 271239110 433982576 542478220 1084956440 2169912880 3065001943 6130003886 12260007772 15325009715 24520015544 30650019430 49040031088 61300038860 122600077720 245200155440