Search a number
-
+
15023065657344 = 21231964346327
BaseRepresentation
bin1101101010011101010001…
…1111011111000000000000
31222012012011021110011202220
43122213110133133000000
53432114214302013334
651541300122411040
73110244400065033
oct332472437370000
958165137404686
1015023065657344
114872278a05308
1218276a2360a80
1384c890a89934
1439d197db501a
151b0bb75e3449
hexda9d47df000

15023065657344 has 104 divisors (see below), whose sum is σ = 42164861811840. Its totient is φ = 4744125923328.

The previous prime is 15023065657343. The next prime is 15023065657351. The reversal of 15023065657344 is 44375656032051.

It is a super-3 number, since 3×150230656573443 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15023065657343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31939692 + ... + 32406635.

Almost surely, 215023065657344 is an apocalyptic number.

It is an amenable number.

15023065657344 is an abundant number, since it is smaller than the sum of its proper divisors (27141796154496).

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

15023065657344 is an equidigital number, since it uses as much as digits as its factorization.

15023065657344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64346373 (or 64346351 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 51.

The spelling of 15023065657344 in words is "fifteen trillion, twenty-three billion, sixty-five million, six hundred fifty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 768 912 1024 1216 1536 1824 2048 2432 3072 3648 4096 4864 6144 7296 9728 12288 14592 19456 29184 38912 58368 77824 116736 233472 64346327 128692654 193038981 257385308 386077962 514770616 772155924 1029541232 1222580213 1544311848 2059082464 2445160426 3088623696 3667740639 4118164928 4890320852 6177247392 7335481278 8236329856 9780641704 12354494784 14670962556 16472659712 19561283408 24708989568 29341925112 32945319424 39122566816 49417979136 58683850224 65890638848 78245133632 98835958272 117367700448 131781277696 156490267264 197671916544 234735400896 263562555392 312980534528 395343833088 469470801792 625961069056 790687666176 938941603584 1251922138112 1877883207168 2503844276224 3755766414336 5007688552448 7511532828672 15023065657344