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102442002240 = 2635122387253
BaseRepresentation
bin101111101101000000…
…1001110011101000000
3100210102100200220120010
41133122001032131000
53134300123032430
6115021115344520
710254415436364
oct1373201163500
9323370626503
10102442002240
113a499926576
1217a2b752140
139877713396
144d5b4d52a4
1529e880acb0
hex17da04e740

102442002240 has 112 divisors (see below), whose sum is σ = 325523035008. Its totient is φ = 27295217664.

The previous prime is 102442002239. The next prime is 102442002259. The reversal of 102442002240 is 42200244201.

It is a congruent number.

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, 1130454 + ... + 1217706.

Almost surely, 2102442002240 is an apocalyptic number.

102442002240 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 102442002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162761517504).

102442002240 is an abundant number, since it is smaller than the sum of its proper divisors (223081032768).

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

102442002240 is a wasteful number, since it uses less digits than its factorization.

102442002240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88496 (or 88486 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 102442002240 its reverse (42200244201), we get a palindrome (144642246441).

The spelling of 102442002240 in words is "one hundred two billion, four hundred forty-two million, two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1223 2446 3669 4892 6115 7338 9784 12230 14676 18345 19568 24460 29352 36690 39136 48920 58704 73380 78272 87253 97840 117408 146760 174506 195680 234816 261759 293520 349012 391360 436265 523518 587040 698024 872530 1047036 1174080 1308795 1396048 1745060 2094072 2617590 2792096 3490120 4188144 5235180 5584192 6980240 8376288 10470360 13960480 16752576 20940720 27920960 41881440 83762880 106710419 213420838 320131257 426841676 533552095 640262514 853683352 1067104190 1280525028 1600656285 1707366704 2134208380 2561050056 3201312570 3414733408 4268416760 5122100112 6402625140 6829466816 8536833520 10244200224 12805250280 17073667040 20488400448 25610500560 34147334080 51221001120 102442002240