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1155514412240 = 2452941922837
BaseRepresentation
bin10000110100001010000…
…001101010110011010000
311002110120210020002211222
4100310022001222303100
5122412443142142430
62242500324024212
7146324503305626
oct20641201526320
94073523202758
101155514412240
11406061841631
12167b43532068
1384c70136906
143dcda323516
15200ce5109e5
hex10d0a06acd0

1155514412240 has 120 divisors (see below), whose sum is σ = 2786842155240. Its totient is φ = 445045629952.

The previous prime is 1155514412201. The next prime is 1155514412243. The reversal of 1155514412240 is 422144155511.

It can be written as a sum of positive squares in 4 ways, for example, as 1359544384 + 1154154867856 = 36872^2 + 1074316^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1155514412240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1155514412243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 407300102 + ... + 407302938.

It is an arithmetic number, because the mean of its divisors is an integer number (23223684627).

Almost surely, 21155514412240 is an apocalyptic number.

1155514412240 is a gapful number since it is divisible by the number (10) 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 1155514412240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393421077620).

1155514412240 is an abundant number, since it is smaller than the sum of its proper divisors (1631327743000).

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

1155514412240 is an equidigital number, since it uses as much as digits as its factorization.

1155514412240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3717 (or 3292 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 35.

Adding to 1155514412240 its reverse (422144155511), we get a palindrome (1577658567751).

The spelling of 1155514412240 in words is "one trillion, one hundred fifty-five billion, five hundred fourteen million, four hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 419 464 580 838 1160 1676 2095 2320 2837 3352 4190 5674 6704 8380 11348 12151 14185 16760 22696 24302 28370 33520 45392 48604 56740 60755 82273 97208 113480 121510 164546 175561 194416 226960 243020 329092 351122 411365 486040 658184 702244 822730 877805 972080 1188703 1316368 1404488 1645460 1755610 2377406 2808976 3290920 3511220 4754812 5091269 5943515 6581840 7022440 9509624 10182538 11887030 14044880 19019248 20365076 23774060 25456345 34472387 40730152 47548120 50912690 68944774 81460304 95096240 101825380 137889548 172361935 203650760 275779096 344723870 407301520 498066557 551558192 689447740 996133114 1378895480 1992266228 2490332785 2757790960 3984532456 4980665570 7969064912 9961331140 14443930153 19922662280 28887860306 39845324560 57775720612 72219650765 115551441224 144439301530 231102882448 288878603060 577757206120 1155514412240