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40132271751552 = 2732127274307413
BaseRepresentation
bin10010010000000000001011…
…10011010100000110000000
312021002121102000120012012200
421020000011303110012000
520230011343032022202
6221204302222553200
711311314051300321
oct1110000563240600
9167077360505180
1040132271751552
1111873001180822
124601aa0738800
1319515c3003786
149ca5ab57c448
15498dec221e1c
hex248005cd4180

40132271751552 has 96 divisors (see below), whose sum is σ = 116394121908480. Its totient is φ = 13272089822208.

The previous prime is 40132271751499. The next prime is 40132271751557. The reversal of 40132271751552 is 25515717223104.

40132271751552 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 2 + 27 + 1 + 75 + 1 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×401322717515522 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40132271751498 and 40132271751507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40132271751557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137007403 + ... + 137300010.

It is an arithmetic number, because the mean of its divisors is an integer number (1212438769880).

Almost surely, 240132271751552 is an apocalyptic number.

It is an amenable number.

40132271751552 is an abundant number, since it is smaller than the sum of its proper divisors (76261850156928).

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

40132271751552 is a wasteful number, since it uses less digits than its factorization.

40132271751552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274307560 (or 274307545 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

Adding to 40132271751552 its reverse (25515717223104), we get a palindrome (65647988974656).

The spelling of 40132271751552 in words is "forty trillion, one hundred thirty-two billion, two hundred seventy-one million, seven hundred fifty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 127 128 144 192 254 288 381 384 508 576 762 1016 1143 1152 1524 2032 2286 3048 4064 4572 6096 8128 9144 12192 16256 18288 24384 36576 48768 73152 146304 274307413 548614826 822922239 1097229652 1645844478 2194459304 2468766717 3291688956 4388918608 4937533434 6583377912 8777837216 9875066868 13166755824 17555674432 19750133736 26333511648 34837041451 35111348864 39500267472 52667023296 69674082902 79000534944 104511124353 105334046592 139348165804 158001069888 209022248706 278696331608 313533373059 316002139776 418044497412 557392663216 627066746118 836088994824 1114785326432 1254133492236 1672177989648 2229570652864 2508266984472 3344355979296 4459141305728 5016533968944 6688711958592 10033067937888 13377423917184 20066135875776 40132271751552