Search a number
-
+
1353234434544 = 243319164867743
BaseRepresentation
bin10011101100010011000…
…011101100100111110000
311210100221020022220221000
4103230103003230213300
5134132411003401134
62513400050202000
7166524260622426
oct23542303544760
94710836286830
101353234434544
114819a3617843
1219a323583300
139a7bcca1255
14496d56a9116
152530271ae99
hex13b130ec9f0

1353234434544 has 80 divisors (see below), whose sum is σ = 4088720051200. Its totient is φ = 427337187264.

The previous prime is 1353234434521. The next prime is 1353234434561. The reversal of 1353234434544 is 4454344323531.

1353234434544 is a `hidden beast` number, since 1 + 3 + 5 + 32 + 3 + 44 + 34 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1353234434544.

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, 82425664 + ... + 82442079.

It is an arithmetic number, because the mean of its divisors is an integer number (51109000640).

Almost surely, 21353234434544 is an apocalyptic number.

It is an amenable number.

1353234434544 is an abundant number, since it is smaller than the sum of its proper divisors (2735485616656).

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

1353234434544 is a wasteful number, since it uses less digits than its factorization.

1353234434544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164867779 (or 164867767 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 45.

The spelling of 1353234434544 in words is "one trillion, three hundred fifty-three billion, two hundred thirty-four million, four hundred thirty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1368 2052 2736 4104 8208 164867743 329735486 494603229 659470972 989206458 1318941944 1483809687 1978412916 2637883888 2967619374 3132487117 3956825832 4451429061 5935238748 6264974234 7913651664 8902858122 9397461351 11870477496 12529948468 17805716244 18794922702 23740954992 25059896936 28192384053 35611432488 37589845404 50119793872 56384768106 71222864976 75179690808 84577152159 112769536212 150359381616 169154304318 225539072424 338308608636 451078144848 676617217272 1353234434544