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53542341440 = 265723902831
BaseRepresentation
bin110001110111010111…
…110100101101000000
312010012110100202112222
4301313113310231000
51334123314411230
640332542110212
73603554251550
oct616727645500
9163173322488
1053542341440
112078628a665
12a46327b368
135083912853
14283cd91160
1515d58676e5
hexc775f4b40

53542341440 has 56 divisors (see below), whose sum is σ = 145711663872. Its totient is φ = 18357373440.

The previous prime is 53542341409. The next prime is 53542341443. The reversal of 53542341440 is 4414324535.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 53542341440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53542341443) 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 7 ways as a sum of consecutive naturals, for example, 11949176 + ... + 11953655.

Almost surely, 253542341440 is an apocalyptic number.

It is an amenable number.

53542341440 is an abundant number, since it is smaller than the sum of its proper divisors (92169322432).

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

53542341440 is a wasteful number, since it uses less digits than its factorization.

53542341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23902855 (or 23902845 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 53542341440 its reverse (4414324535), we get a palindrome (57956665975).

The spelling of 53542341440 in words is "fifty-three billion, five hundred forty-two million, three hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 23902831 47805662 95611324 119514155 167319817 191222648 239028310 334639634 382445296 478056620 669279268 764890592 836599085 956113240 1338558536 1529781184 1673198170 1912226480 2677117072 3346396340 3824452960 5354234144 6692792680 7648905920 10708468288 13385585360 26771170720 53542341440