Search a number
-
+
154935290849440 = 2555211858628729
BaseRepresentation
bin100011001110100110101110…
…111110010110100010100000
3202022120200001210220110221211
4203032212232332112202200
5130301424433424140230
61305304142350555504
744430463640622103
oct4316465676264240
9668520053813854
10154935290849440
11454047625911a2
12154635b7508b94
13685b44868a17a
142a38c9db1c73a
1512da350c9942a
hex8ce9aef968a0

154935290849440 has 48 divisors (see below), whose sum is σ = 366737186488680. Its totient is φ = 61855164067840.

The previous prime is 154935290849411. The next prime is 154935290849441. The reversal of 154935290849440 is 44948092539451.

154935290849440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 96620013884304 + 58315276965136 = 9829548^2 + 7636444^2 .

It is not an unprimeable number, because it can be changed into a prime (154935290849441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 929231005 + ... + 929397724.

Almost surely, 2154935290849440 is an apocalyptic number.

154935290849440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

154935290849440 is an abundant number, since it is smaller than the sum of its proper divisors (211801895639240).

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

154935290849440 is a wasteful number, since it uses less digits than its factorization.

154935290849440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1858629265 (or 1858629257 counting only the distinct ones).

The product of its (nonzero) digits is 223948800, while the sum is 67.

The spelling of 154935290849440 in words is "one hundred fifty-four trillion, nine hundred thirty-five billion, two hundred ninety million, eight hundred forty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 521 1042 2084 2605 4168 5210 8336 10420 16672 20840 41680 83360 1858628729 3717257458 7434514916 9293143645 14869029832 18586287290 29738059664 37172574580 59476119328 74345149160 148690298320 297380596640 968345567809 1936691135618 3873382271236 4841727839045 7746764542472 9683455678090 15493529084944 19366911356180 30987058169888 38733822712360 77467645424720 154935290849440