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202442314440 = 233531467116531
BaseRepresentation
bin1011110010001010000…
…0001001001011001000
3201100112112221010001210
42330202200021023020
511304100213030230
6233000053213120
720424465165162
oct2744240111310
9640475833053
10202442314440
1178945455193
12332996311a0
1316123301c52
149b265d7932
1553ecaa7eb0
hex2f228092c8

202442314440 has 128 divisors (see below), whose sum is σ = 628265963520. Its totient is φ = 52130860800.

The previous prime is 202442314439. The next prime is 202442314441. The reversal of 202442314440 is 44413244202.

It is an interprime number because it is at equal distance from previous prime (202442314439) and next prime (202442314441).

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 = 202442314398 and 202442314407.

It is not an unprimeable number, because it can be changed into a prime (202442314441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1678975 + ... + 1795505.

It is an arithmetic number, because the mean of its divisors is an integer number (4908327840).

Almost surely, 2202442314440 is an apocalyptic number.

202442314440 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 202442314440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314132981760).

202442314440 is an abundant number, since it is smaller than the sum of its proper divisors (425823649080).

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

202442314440 is a wasteful number, since it uses less digits than its factorization.

202442314440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117043 (or 117039 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 202442314440 its reverse (44413244202), we get a palindrome (246855558642).

The spelling of 202442314440 in words is "two hundred two billion, four hundred forty-two million, three hundred fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 467 620 744 930 934 1240 1401 1860 1868 2335 2802 3720 3736 4670 5604 7005 9340 11208 14010 14477 18680 28020 28954 43431 56040 57908 72385 86862 115816 116531 144770 173724 217155 233062 289540 347448 349593 434310 466124 579080 582655 699186 868620 932248 1165310 1398372 1737240 1747965 2330620 2796744 3495930 3612461 4661240 6991860 7224922 10837383 13983720 14449844 18062305 21674766 28899688 36124610 43349532 54186915 54419977 72249220 86699064 108373830 108839954 144498440 163259931 216747660 217679908 272099885 326519862 433495320 435359816 544199770 653039724 816299655 1088399540 1306079448 1632599310 1687019287 2176799080 3265198620 3374038574 5061057861 6530397240 6748077148 8435096435 10122115722 13496154296 16870192870 20244231444 25305289305 33740385740 40488462888 50610578610 67480771480 101221157220 202442314440