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245235314240 = 2657176440003
BaseRepresentation
bin1110010001100100101…
…0011110111001000000
3212102222212111202000022
43210121022132321000
513004220220023430
6304354243513012
723501105530430
oct3443112367100
9772885452008
10245235314240
1195004a3a324
123b640988768
131a182c003c7
14bc25ac62c0
1565a48954e5
hex391929ee40

245235314240 has 112 divisors (see below), whose sum is σ = 706648758912. Its totient is φ = 79134744576.

The previous prime is 245235314239. The next prime is 245235314273. The reversal of 245235314240 is 42413532542.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 245235314240.

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, 3181922 + ... + 3258081.

Almost surely, 2245235314240 is an apocalyptic number.

245235314240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245235314240 is an abundant number, since it is smaller than the sum of its proper divisors (461413444672).

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

245235314240 is a wasteful number, since it uses less digits than its factorization.

245235314240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6440044 (or 6440034 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 245235314240 its reverse (42413532542), we get a palindrome (287648846782).

The spelling of 245235314240 in words is "two hundred forty-five billion, two hundred thirty-five million, three hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 64 68 70 80 85 112 119 136 140 160 170 224 238 272 280 320 340 448 476 544 560 595 680 952 1088 1120 1190 1360 1904 2240 2380 2720 3808 4760 5440 7616 9520 19040 38080 6440003 12880006 25760012 32200015 45080021 51520024 64400030 90160042 103040048 109480051 128800060 180320084 206080096 218960102 225400105 257600120 360640168 412160192 437920204 450800210 515200240 547400255 721280336 766360357 875840408 901600420 1030400480 1094800510 1442560672 1532720714 1751680816 1803200840 2060800960 2189601020 2885121344 3065441428 3503361632 3606401680 3831801785 4379202040 6130882856 7006723264 7212803360 7663603570 8758404080 12261765712 14425606720 15327207140 17516808160 24523531424 30654414280 35033616320 49047062848 61308828560 122617657120 245235314240