Search a number
-
+
145755320206734 = 2367217120011231
BaseRepresentation
bin100001001001000001001110…
…000101011100010110001110
3201010002001221212120202000000
4201021001032011130112032
5123101023343433103414
61233555023020545130
742462321465624300
oct4111011605342616
9633061855522000
10145755320206734
1142495536472517
12144204359b21a6
13634388ac94524
1427dc8490bd970
1511cb66c762b09
hex84904e15c58e

145755320206734 has 168 divisors, whose sum is σ = 403748267300928. Its totient is φ = 39194707628160.

The previous prime is 145755320206697. The next prime is 145755320206747. The reversal of 145755320206734 is 437602023557541.

145755320206734 is a `hidden beast` number, since 1 + 4 + 5 + 7 + 553 + 2 + 0 + 20 + 67 + 3 + 4 = 666.

It is a super-2 number, since 2×1457553202067342 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 58791102 + ... + 61220129.

Almost surely, 2145755320206734 is an apocalyptic number.

145755320206734 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

145755320206734 is an abundant number, since it is smaller than the sum of its proper divisors (257992947094194).

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

145755320206734 is a wasteful number, since it uses less digits than its factorization.

145755320206734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120011282 (or 120011260 counting only the distinct ones).

The product of its (nonzero) digits is 21168000, while the sum is 54.

The spelling of 145755320206734 in words is "one hundred forty-five trillion, seven hundred fifty-five billion, three hundred twenty million, two hundred six thousand, seven hundred thirty-four".