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54046310455144 = 2372363773379009
BaseRepresentation
bin11000100100111101000110…
…01000101101011101101000
321002100202222022010211122101
430102132203020231131220
524040443320434031034
6310540310545103144
714245500645666400
oct1422364310553550
9232322868124571
1054046310455144
1116247a032a4087
12608a654027ab4
132420711a88597
14d4bbd9259800
1563ad06611514
hex3127a322d768

54046310455144 has 48 divisors (see below), whose sum is σ = 117882256097700. Its totient is φ = 23162579693568.

The previous prime is 54046310455117. The next prime is 54046310455147. The reversal of 54046310455144 is 44155401364045.

It can be written as a sum of positive squares in 2 ways, for example, as 32755819492900 + 21290490962244 = 5723270^2 + 4614162^2 .

It is a junction number, because it is equal to n+sod(n) for n = 54046310455094 and 54046310455103.

It is not an unprimeable number, because it can be changed into a prime (54046310455147) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142409512 + ... + 142788520.

Almost surely, 254046310455144 is an apocalyptic number.

It is an amenable number.

54046310455144 is an abundant number, since it is smaller than the sum of its proper divisors (63835945642556).

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

54046310455144 is a wasteful number, since it uses less digits than its factorization.

54046310455144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742802 (or 742791 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 46.

The spelling of 54046310455144 in words is "fifty-four trillion, forty-six billion, three hundred ten million, four hundred fifty-five thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 363773 379009 727546 758018 1455092 1516036 2546411 2653063 2910184 3032072 5092822 5306126 10185644 10612252 17824877 18571441 20371288 21224504 35649754 37142882 71299508 74285764 142599016 148571528 137873240957 275746481914 551492963828 965112686699 1102985927656 1930225373398 3860450746796 6755788806893 7720901493592 13511577613786 27023155227572 54046310455144