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3144012442344 = 23354734410433
BaseRepresentation
bin101101110000000101101…
…111101010101011101000
3102010120020122002100100000
4231300011233222223220
5403002414141123334
610404201145543000
7443101362551034
oct55600557525350
912116218070300
103144012442344
111002406072174
124293b74a4a60
1319a62c77ba27
14ac2573971c4
1556bb2847299
hex2dc05beaae8

3144012442344 has 96 divisors (see below), whose sum is σ = 9018286542720. Its totient is φ = 1025706157056.

The previous prime is 3144012442267. The next prime is 3144012442399. The reversal of 3144012442344 is 4432442104413.

3144012442344 is a `hidden beast` number, since 3 + 1 + 4 + 401 + 244 + 2 + 3 + 4 + 4 = 666.

It is a super-2 number, since 2×31440124423442 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3144012442299 and 3144012442308.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17113849 + ... + 17296584.

It is an arithmetic number, because the mean of its divisors is an integer number (93940484820).

Almost surely, 23144012442344 is an apocalyptic number.

It is an amenable number.

3144012442344 is an abundant number, since it is smaller than the sum of its proper divisors (5874274100376).

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

3144012442344 is a wasteful number, since it uses less digits than its factorization.

3144012442344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34410501 (or 34410485 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 3144012442344 its reverse (4432442104413), we get a palindrome (7576454546757).

The spelling of 3144012442344 in words is "three trillion, one hundred forty-four billion, twelve million, four hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 81 94 108 141 162 188 216 243 282 324 376 423 486 564 648 846 972 1128 1269 1692 1944 2538 3384 3807 5076 7614 10152 11421 15228 22842 30456 45684 91368 34410433 68820866 103231299 137641732 206462598 275283464 309693897 412925196 619387794 825850392 929081691 1238775588 1617290351 1858163382 2477551176 2787245073 3234580702 3716326764 4851871053 5574490146 6469161404 7432653528 8361735219 9703742106 11148980292 12938322808 14555613159 16723470438 19407484212 22297960584 29111226318 33446940876 38814968424 43666839477 58222452636 66893881752 87333678954 116444905272 131000518431 174667357908 262001036862 349334715816 393001555293 524002073724 786003110586 1048004147448 1572006221172 3144012442344