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400514431551 = 31322353648047
BaseRepresentation
bin1011101010000001000…
…01010011101000111111
31102021210112120012102020
411311000201103220333
523030223143302201
6503554354131223
740636056332313
oct5650041235077
91367715505366
10400514431551
11144947a56443
1265757580b13
132b9cb0a7100
1415556633b43
15a641b62a36
hex5d40853a3f

400514431551 has 48 divisors (see below), whose sum is σ = 614784992256. Its totient is φ = 231305762688.

The previous prime is 400514431547. The next prime is 400514431561. The reversal of 400514431551 is 155134415004.

It is not a de Polignac number, because 400514431551 - 22 = 400514431547 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400514431561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 294010 + ... + 942056.

It is an arithmetic number, because the mean of its divisors is an integer number (12808020672).

Almost surely, 2400514431551 is an apocalyptic number.

400514431551 is a deficient number, since it is larger than the sum of its proper divisors (214270560705).

400514431551 is a wasteful number, since it uses less digits than its factorization.

400514431551 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648152 (or 648139 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

Adding to 400514431551 its reverse (155134415004), we get a palindrome (555648846555).

The spelling of 400514431551 in words is "four hundred billion, five hundred fourteen million, four hundred thirty-one thousand, five hundred fifty-one".

Divisors: 1 3 13 23 39 53 69 159 169 299 507 689 897 1219 2067 3657 3887 8957 11661 15847 26871 47541 206011 618033 648047 1944141 8424611 14905081 25273833 34346491 44715243 103039473 109519943 193766053 328559829 446504383 581298159 789969293 1339513149 2369907879 2518958689 5804556979 7556876067 10269600809 17413670937 30808802427 133504810517 400514431551