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11341398016 = 226132
BaseRepresentation
bin10101001000000000…
…00000000000000000
31002021101211201021101
422210000000000000
5141211344214031
65113221304144
7551023202224
oct124400000000
932241751241
1011341398016
11489aa18213
122246265054
1310b988b400
1479837c784
15465a29361
hex2a4000000

11341398016 has 81 divisors (see below), whose sum is σ = 24561844041. Its totient is φ = 5234491392.

The previous prime is 11341397959. The next prime is 11341398017. The reversal of 11341398016 is 61089314311.

It is a happy number.

The square root of 11341398016 is 106496.

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

It can be written as a sum of positive squares in only one way, i.e., 1677721600 + 9663676416 = 40960^2 + 98304^2 .

It is a Duffinian number.

It is a nialpdrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (11341398017) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 872415226 + ... + 872415238.

Almost surely, 211341398016 is an apocalyptic number.

11341398016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11341398016 is the 106496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11341398016

11341398016 is an abundant number, since it is smaller than the sum of its proper divisors (13220446025).

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

11341398016 is an frugal number, since it uses more digits than its factorization.

11341398016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 15 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The spelling of 11341398016 in words is "eleven billion, three hundred forty-one million, three hundred ninety-eight thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 512 676 832 1024 1352 1664 2048 2704 3328 4096 5408 6656 8192 10816 13312 16384 21632 26624 32768 43264 53248 65536 86528 106496 131072 173056 212992 262144 346112 425984 524288 692224 851968 1048576 1384448 1703936 2097152 2768896 3407872 4194304 5537792 6815744 8388608 11075584 13631488 16777216 22151168 27262976 33554432 44302336 54525952 67108864 88604672 109051904 177209344 218103808 354418688 436207616 708837376 872415232 1417674752 2835349504 5670699008 11341398016