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211433033040 = 24354320487697
BaseRepresentation
bin1100010011101001100…
…1000000110101010000
3202012202010112221101120
43010322121000311100
511431003324024130
6241044143402240
721163336061565
oct3047231006520
9665663487346
10211433033040
1181739487139
1234b885b3380
1316c26b82798
14a33a6b486c
15577704e910
hex313a640d50

211433033040 has 80 divisors (see below), whose sum is σ = 670685281728. Its totient is φ = 55070926848.

The previous prime is 211433033033. The next prime is 211433033093. The reversal of 211433033040 is 40330334112.

It is a tau number, because it is divible by the number of its divisors (80).

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 211433033040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10233529 + ... + 10254168.

Almost surely, 2211433033040 is an apocalyptic number.

211433033040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211433033040 is an abundant number, since it is smaller than the sum of its proper divisors (459252248688).

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

211433033040 is a wasteful number, since it uses less digits than its factorization.

211433033040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20487756 (or 20487750 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 211433033040 its reverse (40330334112), we get a palindrome (251763367152).

The spelling of 211433033040 in words is "two hundred eleven billion, four hundred thirty-three million, thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 430 516 645 688 860 1032 1290 1720 2064 2580 3440 5160 10320 20487697 40975394 61463091 81950788 102438485 122926182 163901576 204876970 245852364 307315455 327803152 409753940 491704728 614630910 819507880 880970971 983409456 1229261820 1639015760 1761941942 2458523640 2642912913 3523883884 4404854855 4917047280 5285825826 7047767768 8809709710 10571651652 13214564565 14095535536 17619419420 21143303304 26429129130 35238838840 42286606608 52858258260 70477677680 105716516520 211433033040