Search a number
-
+
354153103151231 = 47151787136146589
BaseRepresentation
bin101000010000110011011000…
…1111010001101000001111111
31201102221201001200101111000202
41100201212301322031001333
5332404421023401314411
63253115404535314115
7134411501021426606
oct12041466172150177
91642851050344022
10354153103151231
11a293153aa8181a
12338792b181b93b
131227c657062117
14636515cd08a3d
152ae25056c583b
hex14219b1e8d07f

354153103151231 has 32 divisors (see below), whose sum is σ = 364821866403840. Its totient is φ = 343624888512000.

The previous prime is 354153103151191. The next prime is 354153103151233. The reversal of 354153103151231 is 132151301351453.

It is a cyclic number.

It is not a de Polignac number, because 354153103151231 - 210 = 354153103150207 is a prime.

It is a super-2 number, since 2×3541531031512312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354153103151233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7601623085 + ... + 7601669673.

It is an arithmetic number, because the mean of its divisors is an integer number (11400683325120).

Almost surely, 2354153103151231 is an apocalyptic number.

354153103151231 is a deficient number, since it is larger than the sum of its proper divisors (10668763252609).

354153103151231 is a wasteful number, since it uses less digits than its factorization.

354153103151231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48935.

The product of its (nonzero) digits is 81000, while the sum is 38.

The spelling of 354153103151231 in words is "three hundred fifty-four trillion, one hundred fifty-three billion, one hundred three million, one hundred fifty-one thousand, two hundred thirty-one".

Divisors: 1 47 151 787 1361 7097 36989 46589 63967 118837 205511 1071107 2189683 5585339 7034939 9659017 36665543 50342029 63407629 161737157 330642133 1723280521 2980158563 5536496993 7601646379 9574551979 49901804023 260215358671 450003943013 2345384789081 7535172407473 354153103151231