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10433031253040 = 24511232657194003
BaseRepresentation
bin1001011111010010000100…
…0111110010110000110000
31100221101110212221010122102
42113310201013302300300
52331413322000044130
634104511323355532
72124522145304504
oct227644107626060
940841425833572
1010433031253040
113362695176750
121205ba9082ba8
135a8aa4b665b6
14280d6615a304
151315c162e645
hex97d211f2c30

10433031253040 has 160 divisors (see below), whose sum is σ = 27623015870976. Its totient is φ = 3627495956480.

The previous prime is 10433031253031. The next prime is 10433031253067. The reversal of 10433031253040 is 4035213033401.

It is a super-2 number, since 2×104330312530402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10433031252994 and 10433031253012.

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, 53680679 + ... + 53874681.

Almost surely, 210433031253040 is an apocalyptic number.

10433031253040 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 10433031253040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13811507935488).

10433031253040 is an abundant number, since it is smaller than the sum of its proper divisors (17189984617936).

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

10433031253040 is a wasteful number, since it uses less digits than its factorization.

10433031253040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196707 (or 196701 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

Adding to 10433031253040 its reverse (4035213033401), we get a palindrome (14468244286441).

The spelling of 10433031253040 in words is "ten trillion, four hundred thirty-three billion, thirty-one million, two hundred fifty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 40 44 46 55 80 88 92 110 115 176 184 220 230 253 368 440 460 506 880 920 1012 1265 1840 2024 2530 2657 4048 5060 5314 10120 10628 13285 20240 21256 26570 29227 42512 53140 58454 61111 106280 116908 122222 146135 194003 212560 233816 244444 292270 305555 388006 467632 488888 584540 611110 672221 776012 970015 977776 1169080 1222220 1344442 1552024 1940030 2134033 2338160 2444440 2688884 3104048 3361105 3880060 4268066 4462069 4888880 5377768 6722210 7760120 8536132 8924138 10670165 10755536 13444420 15520240 17072264 17848276 21340330 22310345 26888840 34144528 35696552 42680660 44620690 49082759 53777680 71393104 85361320 89241380 98165518 170722640 178482760 196331036 245413795 356965520 392662072 490827590 515465971 785324144 981655180 1030931942 1963310360 2061863884 2577329855 3926620720 4123727768 5154659710 5670125681 8247455536 10309319420 11340251362 11855717333 20618638840 22680502724 23711434666 28350628405 41237277680 45361005448 47422869332 56701256810 59278586665 90722010896 94845738664 113402513620 118557173330 130412890663 189691477328 226805027240 237114346660 260825781326 453610054480 474228693320 521651562652 652064453315 948457386640 1043303125304 1304128906630 2086606250608 2608257813260 5216515626520 10433031253040