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54434222040 = 23351141238047
BaseRepresentation
bin110010101100100010…
…000100111111011000
312012111121120222201210
4302230202010333120
51342440130101130
641001242143120
73634634152542
oct625442047730
9165447528653
1054434222040
11210a3776770
12a671ab1aa0
135196625653
1428c55d6692
151638cdd5b0
hexcac884fd8

54434222040 has 64 divisors (see below), whose sum is σ = 178148367360. Its totient is φ = 13196174720.

The previous prime is 54434222023. The next prime is 54434222053. The reversal of 54434222040 is 4022243445.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 54434221989 and 54434222007.

It is a congruent number.

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, 20617704 + ... + 20620343.

It is an arithmetic number, because the mean of its divisors is an integer number (2783568240).

Almost surely, 254434222040 is an apocalyptic number.

It is an amenable number.

54434222040 is an abundant number, since it is smaller than the sum of its proper divisors (123714145320).

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

54434222040 is a wasteful number, since it uses less digits than its factorization.

54434222040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41238072 (or 41238068 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

Adding to 54434222040 its reverse (4022243445), we get a palindrome (58456465485).

The spelling of 54434222040 in words is "fifty-four billion, four hundred thirty-four million, two hundred twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 41238047 82476094 123714141 164952188 206190235 247428282 329904376 412380470 453618517 494856564 618570705 824760940 907237034 989713128 1237141410 1360855551 1649521880 1814474068 2268092585 2474282820 2721711102 3628948136 4536185170 4948565640 5443422204 6804277755 9072370340 10886844408 13608555510 18144740680 27217111020 54434222040