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3344055912976 = 244727121372
BaseRepresentation
bin110000101010011001010…
…000111100101000010000
3102211200121000011120022211
4300222121100330220100
5414242111303203401
611040123231441504
7463412552156422
oct60523120745020
912750530146284
103344055912976
11107a22a424509
12460125686294
131b345caab36c
14b7bd3152812
155bebea06951
hex30a9943ca10

3344055912976 has 135 divisors (see below), whose sum is σ = 6763814210797. Its totient is φ = 1601627587840.

The previous prime is 3344055912959. The next prime is 3344055912979. The reversal of 3344055912976 is 6792195504433.

The square root of 3344055912976 is 1828676.

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., 1964314371600 + 1379741541376 = 1401540^2 + 1174624^2 .

It is a super-2 number, since 2×33440559129762 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3344055912976.

It is not an unprimeable number, because it can be changed into a prime (3344055912979) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24409167180 + ... + 24409167316.

Almost surely, 23344055912976 is an apocalyptic number.

3344055912976 is the 1828676-th square number.

It is an amenable number.

3344055912976 is an abundant number, since it is smaller than the sum of its proper divisors (3419758297821).

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

3344055912976 is an frugal number, since it uses more digits than its factorization.

3344055912976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 58.

The spelling of 3344055912976 in words is "three trillion, three hundred forty-four billion, fifty-five million, nine hundred twelve thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 47 71 94 137 142 188 274 284 376 548 568 752 1096 1136 2192 2209 3337 4418 5041 6439 6674 8836 9727 10082 12878 13348 17672 18769 19454 20164 25756 26696 35344 37538 38908 40328 51512 53392 75076 77816 80656 103024 150152 155632 156839 236927 300304 302633 313678 457169 473854 605266 627356 690617 882143 914338 947708 1210532 1254712 1332599 1381234 1764286 1828676 1895416 2421064 2509424 2665198 2762468 3528572 3657352 3790832 4842128 5330396 5524936 7057144 7314704 10660792 11049872 11135569 14114288 21321584 21486943 22271138 32458999 41460721 42973886 44542276 62632153 64917998 82921442 85947772 89084552 94614529 125264306 129835996 165842884 171895544 178169104 189229058 250528612 259671992 331685768 343791088 378458116 501057224 519343984 663371536 756916232 1002114448 1513832464 1525572953 2943711191 3051145906 4446882863 5887422382 6102291812 8893765726 11774844764 12204583624 17787531452 23549689528 24409167248 35575062904 47099379056 71150125808 209003494561 418006989122 836013978244 1672027956488 3344055912976