Search a number
-
+
135542252314323 = 3514471729322291
BaseRepresentation
bin11110110100011001100011…
…110011010001111011010011
3122202220201020121112002100000
4132310121203303101323103
5120231211013043024243
61200135130123301043
740356414240120201
oct3664314363217323
9582821217462300
10135542252314323
113a208167941318
1213250bb607a783
135a8276c366a2a
1425683cc510071
1510a0b71ed75d3
hex7b4663cd1ed3

135542252314323 has 48 divisors (see below), whose sum is σ = 203195663181056. Its totient is φ = 90289781667360.

The previous prime is 135542252314279. The next prime is 135542252314409. The reversal of 135542252314323 is 323413252245531.

135542252314323 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 4 + 2 + 2 + 5 + 2 + 314 + 323 = 666.

It is a de Polignac number, because none of the positive numbers 2k-135542252314323 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135542252310323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6080570808 + ... + 6080593098.

Almost surely, 2135542252314323 is an apocalyptic number.

135542252314323 is a deficient number, since it is larger than the sum of its proper divisors (67653410866733).

135542252314323 is a wasteful number, since it uses less digits than its factorization.

135542252314323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41046 (or 41034 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 45.

The spelling of 135542252314323 in words is "one hundred thirty-five trillion, five hundred forty-two billion, two hundred fifty-two million, three hundred fourteen thousand, three hundred twenty-three".

Divisors: 1 3 9 27 81 243 1447 4341 13023 17293 22291 39069 51879 66873 117207 155637 200619 351621 466911 601857 1400733 1805571 4202199 5416713 25022971 32255077 75068913 96765231 225206739 290295693 385478263 675620217 870887079 1156434789 2026860651 2612661237 3469304367 6080581953 7837983711 10407913101 31223739303 93671217909 557787046561 1673361139683 5020083419049 15060250257147 45180750771441 135542252314323