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1054433031432 = 2331123916711567
BaseRepresentation
bin11110101100000010001…
…10110011010100001000
310201210200020202221000020
433112001012303110020
5114233434324001212
62124222211140440
7136115555612454
oct17260106632410
93653606687006
101054433031432
11377200a59090
121504335a4720
1378581595291
143906b80d664
151c6653bbd8c
hexf5811b3508

1054433031432 has 64 divisors (see below), whose sum is σ = 2887758950400. Its totient is φ = 318188216640.

The previous prime is 1054433031397. The next prime is 1054433031451. The reversal of 1054433031432 is 2341303344501.

It is a super-2 number, since 2×10544330314322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 1054433031393 and 1054433031402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8292688 + ... + 8418879.

It is an arithmetic number, because the mean of its divisors is an integer number (45121233600).

Almost surely, 21054433031432 is an apocalyptic number.

1054433031432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1054433031432 is an abundant number, since it is smaller than the sum of its proper divisors (1833325918968).

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

1054433031432 is a wasteful number, since it uses less digits than its factorization.

1054433031432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16711826 (or 16711822 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

Adding to 1054433031432 its reverse (2341303344501), we get a palindrome (3395736375933).

The spelling of 1054433031432 in words is "one trillion, fifty-four billion, four hundred thirty-three million, thirty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 239 264 478 717 956 1434 1912 2629 2868 5258 5736 7887 10516 15774 21032 31548 63096 16711567 33423134 50134701 66846268 100269402 133692536 183827237 200538804 367654474 401077608 551481711 735308948 1102963422 1470617896 2205926844 3994064513 4411853688 7988129026 11982193539 15976258052 23964387078 31952516104 43934709643 47928774156 87869419286 95857548312 131804128929 175738838572 263608257858 351477677144 527216515716 1054433031432