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54340241120 = 25511173178469
BaseRepresentation
bin110010100110111011…
…100100011011100000
312012021001202021010222
4302212323210123200
51342242100203440
640544043542212
73632413266644
oct624673443340
9165231667128
1054340241120
1121055716490
12a64652a968
13518000b739
1428b6d30c24
1516309272b5
hexca6ee46e0

54340241120 has 96 divisors (see below), whose sum is σ = 140859946080. Its totient is φ = 19645757440.

The previous prime is 54340241113. The next prime is 54340241143. The reversal of 54340241120 is 2114204345.

54340241120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 54340241120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215246 + ... + 393714.

It is an arithmetic number, because the mean of its divisors is an integer number (1467291105).

Almost surely, 254340241120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54340241120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70429973040).

54340241120 is an abundant number, since it is smaller than the sum of its proper divisors (86519704960).

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

54340241120 is a wasteful number, since it uses less digits than its factorization.

54340241120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178668 (or 178660 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 54340241120 its reverse (2114204345), we get a palindrome (56454445465).

The spelling of 54340241120 in words is "fifty-four billion, three hundred forty million, two hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 173 176 220 346 352 440 692 865 880 1384 1730 1760 1903 2768 3460 3806 5536 6920 7612 9515 13840 15224 19030 27680 30448 38060 60896 76120 152240 178469 304480 356938 713876 892345 1427752 1784690 1963159 2855504 3569380 3926318 5711008 7138760 7852636 9815795 14277520 15705272 19631590 28555040 30875137 31410544 39263180 61750274 62821088 78526360 123500548 154375685 157052720 247001096 308751370 314105440 339626507 494002192 617502740 679253014 988004384 1235005480 1358506028 1698132535 2470010960 2717012056 3396265070 4940021920 5434024112 6792530140 10868048224 13585060280 27170120560 54340241120