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202132041144 = 233113141602401
BaseRepresentation
bin1011110001000000000…
…0100010110110111000
3201022201221002121010020
42330100000202312320
511302431300304034
6232505211050440
720414010000255
oct2742000426670
9638657077106
10202132041144
11787a62a4280
1233211740a20
13160a3c48097
149ad730c42c
1553d071a249
hex2f10022db8

202132041144 has 128 divisors (see below), whose sum is σ = 582932367360. Its totient is φ = 57830400000.

The previous prime is 202132041121. The next prime is 202132041161. The reversal of 202132041144 is 441140231202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34344 + ... + 636744.

It is an arithmetic number, because the mean of its divisors is an integer number (4554159120).

Almost surely, 2202132041144 is an apocalyptic number.

202132041144 is a gapful number since it is divisible by the number (24) 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 202132041144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291466183680).

202132041144 is an abundant number, since it is smaller than the sum of its proper divisors (380800326216).

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

202132041144 is a wasteful number, since it uses less digits than its factorization.

202132041144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602493 (or 602489 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 202132041144 its reverse (441140231202), we get a palindrome (643272272346).

The spelling of 202132041144 in words is "two hundred two billion, one hundred thirty-two million, forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 41 44 62 66 82 88 93 123 124 132 164 186 246 248 264 328 341 372 451 492 682 744 902 984 1023 1271 1353 1364 1804 2046 2542 2706 2728 3608 3813 4092 5084 5412 7626 8184 10168 10824 13981 15252 27962 30504 41943 55924 83886 111848 167772 335544 602401 1204802 1807203 2409604 3614406 4819208 6626411 7228812 13252822 14457624 18674431 19879233 24698441 26505644 37348862 39758466 49396882 53011288 56023293 74095323 74697724 79516932 98793764 112046586 148190646 149395448 159033864 197587528 205418741 224093172 271682851 296381292 410837482 448186344 543365702 592762584 616256223 765651671 815048553 821674964 1086731404 1232512446 1531303342 1630097106 1643349928 2173462808 2296955013 2465024892 3062606684 3260194212 4593910026 4930049784 6125213368 6520388424 8422168381 9187820052 16844336762 18375640104 25266505143 33688673524 50533010286 67377347048 101066020572 202132041144