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144634045540446 = 23371134784522737
BaseRepresentation
bin100000111000101100111100…
…111010000010100001011110
3200222002212202022110221121000
4200320230330322002201132
5122424141011124243241
61231335544021251130
742315315323334510
oct4070547472024136
9628085668427530
10144634045540446
11420a2a551188a0
121427b069263aa6
136291c16706727
1427a047a325bb0
1511ac3e41abeb6
hex838b3ce8285e

144634045540446 has 64 divisors (see below), whose sum is σ = 400717701941760. Its totient is φ = 37567284554880.

The previous prime is 144634045540433. The next prime is 144634045540451. The reversal of 144634045540446 is 644045540436441.

144634045540446 is a `hidden beast` number, since 1 + 4 + 4 + 6 + 3 + 40 + 4 + 554 + 0 + 4 + 46 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 144634045540392 and 144634045540401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17392257211 + ... + 17392265526.

It is an arithmetic number, because the mean of its divisors is an integer number (6261214092840).

Almost surely, 2144634045540446 is an apocalyptic number.

144634045540446 is an abundant number, since it is smaller than the sum of its proper divisors (256083656401314).

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

144634045540446 is a wasteful number, since it uses less digits than its factorization.

144634045540446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34784522766 (or 34784522760 counting only the distinct ones).

The product of its (nonzero) digits is 44236800, while the sum is 54.

Adding to 144634045540446 its reverse (644045540436441), we get a palindrome (788679585976887).

The spelling of 144634045540446 in words is "one hundred forty-four trillion, six hundred thirty-four billion, forty-five million, five hundred forty thousand, four hundred forty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 297 378 462 594 693 1386 2079 4158 34784522737 69569045474 104353568211 208707136422 243491659159 313060704633 382629750107 486983318318 626121409266 730474977477 765259500214 939182113899 1147889250321 1460949954954 1878364227798 2191424932431 2295778500642 2678408250749 3443667750963 4382849864862 5356816501498 6574274797293 6887335501926 8035224752247 10331003252889 13148549594586 16070449504494 20662006505778 24105674256741 48211348513482 72317022770223 144634045540446