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120136362240 = 283571440641
BaseRepresentation
bin110111111100010101…
…1110110100100000000
3102111002111202112022210
41233320223312210000
53432014402042430
6131105003102120
711452043141646
oct1577053664400
9374074675283
10120136362240
1146a49932094
121b349511940
13b43751c99b
145b594c1196
1531d1e3e2b0
hex1bf8af6900

120136362240 has 144 divisors (see below), whose sum is σ = 389090411136. Its totient is φ = 31585075200.

The previous prime is 120136362187. The next prime is 120136362259. The reversal of 120136362240 is 42263631021.

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 = 120136362198 and 120136362207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52320 + ... + 492960.

It is an arithmetic number, because the mean of its divisors is an integer number (2702016744).

Almost surely, 2120136362240 is an apocalyptic number.

120136362240 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 120136362240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194545205568).

120136362240 is an abundant number, since it is smaller than the sum of its proper divisors (268954048896).

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

120136362240 is an equidigital number, since it uses as much as digits as its factorization.

120136362240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440736 (or 440722 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 120136362240 its reverse (42263631021), we get a palindrome (162399993261).

The spelling of 120136362240 in words is "one hundred twenty billion, one hundred thirty-six million, three hundred sixty-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 71 80 96 120 128 142 160 192 213 240 256 284 320 355 384 426 480 568 640 710 768 852 960 1065 1136 1280 1420 1704 1920 2130 2272 2840 3408 3840 4260 4544 5680 6816 8520 9088 11360 13632 17040 18176 22720 27264 34080 45440 54528 68160 90880 136320 272640 440641 881282 1321923 1762564 2203205 2643846 3525128 4406410 5287692 6609615 7050256 8812820 10575384 13219230 14100512 17625640 21150768 26438460 28201024 31285511 35251280 42301536 52876920 56402048 62571022 70502560 84603072 93856533 105753840 112804096 125142044 141005120 156427555 169206144 187713066 211507680 250284088 282010240 312855110 338412288 375426132 423015360 469282665 500568176 564020480 625710220 750852264 846030720 938565330 1001136352 1251420440 1501704528 1692061440 1877130660 2002272704 2502840880 3003409056 3754261320 4004545408 5005681760 6006818112 7508522640 8009090816 10011363520 12013636224 15017045280 20022727040 24027272448 30034090560 40045454080 60068181120 120136362240