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202132343040 = 2835457115183
BaseRepresentation
bin1011110001000000000…
…1101100100100000000
3201022201221122221020120
42330100001230210000
511302431334434130
6232505221340240
720414012365365
oct2742001544400
9638657587216
10202132343040
11787a6490081
1233211867680
13160a4022614
149ad738a46c
1553d0779910
hex2f1006c900

202132343040 has 144 divisors (see below), whose sum is σ = 646978391808. Its totient is φ = 53783543808.

The previous prime is 202132343033. The next prime is 202132343041. The reversal of 202132343040 is 40343231202.

202132343040 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 202132343040.

It is not an unprimeable number, because it can be changed into a prime (202132343041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1697289 + ... + 1812471.

Almost surely, 2202132343040 is an apocalyptic number.

202132343040 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 202132343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323489195904).

202132343040 is an abundant number, since it is smaller than the sum of its proper divisors (444846048768).

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

202132343040 is a wasteful number, since it uses less digits than its factorization.

202132343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115664 (or 115650 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 202132343040 its reverse (40343231202), we get a palindrome (242475574242).

The spelling of 202132343040 in words is "two hundred two billion, one hundred thirty-two million, three hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 457 480 640 768 914 960 1280 1371 1828 1920 2285 2742 3656 3840 4570 5484 6855 7312 9140 10968 13710 14624 18280 21936 27420 29248 36560 43872 54840 58496 73120 87744 109680 115183 116992 146240 175488 219360 230366 292480 345549 350976 438720 460732 575915 584960 691098 877440 921464 1151830 1382196 1727745 1754880 1842928 2303660 2764392 3455490 3685856 4607320 5528784 6910980 7371712 9214640 11057568 13821960 14743424 18429280 22115136 27643920 29486848 36858560 44230272 52638631 55287840 73717120 88460544 105277262 110575680 147434240 157915893 210554524 221151360 263193155 315831786 421109048 442302720 526386310 631663572 789579465 842218096 1052772620 1263327144 1579158930 1684436192 2105545240 2526654288 3158317860 3368872384 4211090480 5053308576 6316635720 6737744768 8422180960 10106617152 12633271440 13475489536 16844361920 20213234304 25266542880 33688723840 40426468608 50533085760 67377447680 101066171520 202132343040