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147414433100 = 225211247259213
BaseRepresentation
bin1000100101001010010…
…1011011110101001100
3112002111120021002212112
42021102211123311030
54403401043324400
6151415442523152
713436032002224
oct2112245336514
9462446232775
10147414433100
1157577671500
12246a09664b8
1310b939c0b0c
1471c6229084
153c7bb00835
hex225295bd4c

147414433100 has 108 divisors (see below), whose sum is σ = 359096412192. Its totient is φ = 52464508800.

The previous prime is 147414433069. The next prime is 147414433109. The reversal of 147414433100 is 1334414741.

It is a super-2 number, since 2×1474144331002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (147414433109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 439094 + ... + 698306.

Almost surely, 2147414433100 is an apocalyptic number.

147414433100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147414433100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179548206096).

147414433100 is an abundant number, since it is smaller than the sum of its proper divisors (211681979092).

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

147414433100 is a wasteful number, since it uses less digits than its factorization.

147414433100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259296 (or 259278 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

Adding to 147414433100 its reverse (1334414741), we get a palindrome (148748847841).

The spelling of 147414433100 in words is "one hundred forty-seven billion, four hundred fourteen million, four hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 47 50 55 94 100 110 121 188 220 235 242 275 470 484 517 550 605 940 1034 1100 1175 1210 2068 2350 2420 2585 3025 4700 5170 5687 6050 10340 11374 12100 12925 22748 25850 28435 51700 56870 113740 142175 259213 284350 518426 568700 1036852 1296065 2592130 2851343 5184260 5702686 6480325 11405372 12183011 12960650 14256715 24366022 25921300 28513430 31364773 48732044 57026860 60915055 62729546 71283575 121830110 125459092 134013121 142567150 156823865 243660220 268026242 285134300 304575275 313647730 536052484 609150550 627295460 670065605 784119325 1218301100 1340131210 1474144331 1568238650 2680262420 2948288662 3136477300 3350328025 5896577324 6700656050 7370721655 13401312100 14741443310 29482886620 36853608275 73707216550 147414433100