Search a number
-
+
145212560633100 = 22352796127112263
BaseRepresentation
bin100001000001000111101111…
…000101111110110100001100
3201001011012000000200121220010
4201001013233011332310030
5123013130311010224400
61232501421315353220
742405155423440632
oct4101075705766414
9631135000617803
10145212560633100
11422a6334880514
12143532008b2810
13630464114c8bc
1427c047adcd352
1511bc4a2c46450
hex8411ef17ed0c

145212560633100 has 72 divisors (see below), whose sum is σ = 425466675612160. Its totient is φ = 38233180514880.

The previous prime is 145212560633083. The next prime is 145212560633149. The reversal of 145212560633100 is 1336065212541.

It is a happy number.

It is a super-2 number, since 2×1452125606331002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3063532432 + ... + 3063579831.

Almost surely, 2145212560633100 is an apocalyptic number.

145212560633100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145212560633100 is an abundant number, since it is smaller than the sum of its proper divisors (280254114979060).

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

145212560633100 is a wasteful number, since it uses less digits than its factorization.

145212560633100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6127112359 (or 6127112352 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 145212560633100 in words is "one hundred forty-five trillion, two hundred twelve billion, five hundred sixty million, six hundred thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 79 100 150 158 237 300 316 395 474 790 948 1185 1580 1975 2370 3950 4740 5925 7900 11850 23700 6127112263 12254224526 18381336789 24508449052 30635561315 36762673578 61271122630 73525347156 91906683945 122542245260 153177806575 183813367890 306355613150 367626735780 459533419725 484041868777 612711226300 919066839450 968083737554 1452125606331 1838133678900 1936167475108 2420209343885 2904251212662 4840418687770 5808502425324 7260628031655 9680837375540 12101046719425 14521256063310 24202093438850 29042512126620 36303140158275 48404186877700 72606280316550 145212560633100