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381227214096 = 243657172
BaseRepresentation
bin1011000110000101110…
…10011010010100010000
31100110000101021001000000
411203002322122110100
522221223131322341
6451044450130000
736354110565531
oct5430272322420
91313011231000
10381227214096
1113774a907503
1261a74280900
1329c46295ac1
1414646c92688
159db37918b6
hex58c2e9a510

381227214096 has 105 divisors (see below), whose sum is σ = 1107628730581. Its totient is φ = 127053510336.

The previous prime is 381227214091. The next prime is 381227214127. The reversal of 381227214096 is 690412722183.

The square root of 381227214096 is 617436.

It is a perfect power (a square), and thus also a powerful number.

381227214096 is a `hidden beast` number, since 381 + 227 + 2 + 1 + 40 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 222236816400 + 158990397696 = 471420^2 + 398736^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (381227214091) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 66680230 + ... + 66685946.

Almost surely, 2381227214096 is an apocalyptic number.

381227214096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

381227214096 is the 617436-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381227214096

381227214096 is an abundant number, since it is smaller than the sum of its proper divisors (726401516485).

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

381227214096 is an frugal number, since it uses more digits than its factorization.

381227214096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11460 (or 5722 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 381227214096 in words is "three hundred eighty-one billion, two hundred twenty-seven million, two hundred fourteen thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3888 5717 5832 11434 11664 17151 22868 34302 45736 51453 68604 91472 102906 137208 154359 205812 274416 308718 411624 463077 617436 823248 926154 1234872 1389231 1852308 2469744 2778462 3704616 4167693 5556924 7409232 8335386 11113848 16670772 22227696 32684089 33341544 65368178 66683088 98052267 130736356 196104534 261472712 294156801 392209068 522945424 588313602 784418136 882470403 1176627204 1568836272 1764940806 2353254408 2647411209 3529881612 4706508816 5294822418 7059763224 7942233627 10589644836 14119526448 15884467254 21179289672 23826700881 31768934508 42358579344 47653401762 63537869016 95306803524 127075738032 190613607048 381227214096