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412023404140344 = 233319203949237649
BaseRepresentation
bin101110110101110111010110…
…0101001001001011100111000
32000000212001102110100201212000
41131223232230221021130320
5413001042412424442334
64020144534441021000
7152533465023602223
oct13553565451113470
92000761373321760
10412023404140344
1110a313165233547
123a264a90484760
13148b984295a799
1473a60796765ba
153297a1aa8e299
hex176bbaca49738

412023404140344 has 128 divisors (see below), whose sum is σ = 1205337672000000. Its totient is φ = 130048839304704.

The previous prime is 412023404140319. The next prime is 412023404140451. The reversal of 412023404140344 is 443041404320214.

412023404140344 is a `hidden beast` number, since 4 + 1 + 2 + 0 + 234 + 0 + 41 + 40 + 344 = 666.

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 = 412023404140299 and 412023404140308.

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, 16250769 + ... + 32986880.

It is an arithmetic number, because the mean of its divisors is an integer number (9416700562500).

Almost surely, 2412023404140344 is an apocalyptic number.

It is an amenable number.

412023404140344 is an abundant number, since it is smaller than the sum of its proper divisors (793314267859656).

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

412023404140344 is a wasteful number, since it uses less digits than its factorization.

412023404140344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49239722 (or 49239712 counting only the distinct ones).

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

Adding to 412023404140344 its reverse (443041404320214), we get a palindrome (855064808460558).

The spelling of 412023404140344 in words is "four hundred twelve trillion, twenty-three billion, four hundred four million, one hundred forty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2039 2052 4078 4104 6117 8156 12234 16312 18351 24468 36702 38741 48936 55053 73404 77482 110106 116223 146808 154964 220212 232446 309928 348669 440424 464892 697338 929784 1046007 1394676 2092014 2789352 4184028 8368056 49237649 98475298 147712947 196950596 295425894 393901192 443138841 590851788 886277682 935515331 1181703576 1329416523 1772555364 1871030662 2658833046 2806545993 3545110728 3742061324 5317666092 5613091986 7484122648 8419637979 10635332184 11226183972 16839275958 22452367944 25258913937 33678551916 50517827874 67357103832 100395566311 101035655748 200791132622 202071311496 301186698933 401582265244 602373397866 803164530488 903560096799 1204746795732 1807120193598 1907515759909 2409493591464 2710680290397 3614240387196 3815031519818 5421360580794 5722547279727 7228480774392 7630063039636 10842721161588 11445094559454 15260126079272 17167641839181 21685442323176 22890189118908 34335283678362 45780378237816 51502925517543 68670567356724 103005851035086 137341134713448 206011702070172 412023404140344