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114601206784 = 2107121492
BaseRepresentation
bin110101010111011000…
…0111010010000000000
3101221210202101111111011
41222232300322100000
53334200402104114
6124351433330304
711164632120331
oct1525660722000
9357722344434
10114601206784
1144669436949
121a263866994
13aa6484a57c
145792316288
152eab0281c4
hex1aaec3a400

114601206784 has 99 divisors (see below), whose sum is σ = 233932517161. Its totient is φ = 56114401280.

The previous prime is 114601206743. The next prime is 114601206829. The reversal of 114601206784 is 487602106411.

The square root of 114601206784 is 338528.

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., 13426320384 + 101174886400 = 115872^2 + 318080^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 769135542 + ... + 769135690.

Almost surely, 2114601206784 is an apocalyptic number.

114601206784 is the 338528-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114601206784

114601206784 is an abundant number, since it is smaller than the sum of its proper divisors (119331310377).

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

114601206784 is an frugal number, since it uses more digits than its factorization.

114601206784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The spelling of 114601206784 in words is "one hundred fourteen billion, six hundred one million, two hundred six thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 71 128 142 149 256 284 298 512 568 596 1024 1136 1192 2272 2384 4544 4768 5041 9088 9536 10082 10579 18176 19072 20164 21158 22201 36352 38144 40328 42316 44402 72704 76288 80656 84632 88804 152576 161312 169264 177608 322624 338528 355216 645248 677056 710432 751109 1290496 1354112 1420864 1502218 1576271 2580992 2708224 2841728 3004436 3152542 5161984 5416448 5683456 6008872 6305084 10832896 11366912 12017744 12610168 22733824 24035488 25220336 48070976 50440672 96141952 100881344 111915241 192283904 201762688 223830482 384567808 403525376 447660964 769135616 807050752 895321928 1614101504 1790643856 3581287712 7162575424 14325150848 28650301696 57300603392 114601206784