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146342323456 = 2871735913381
BaseRepresentation
bin1000100001001010101…
…1101010010100000000
3111222201211220021220221
42020102223222110000
54344202113322311
6151121223512424
713400333140150
oct2102253522400
9458654807827
10146342323456
115707747667a
12244418b8714
1310a52856b04
147123aaa760
153c17928671
hex2212aea500

146342323456 has 144 divisors (see below), whose sum is σ = 354492391680. Its totient is φ = 58860011520.

The previous prime is 146342323451. The next prime is 146342323531. The reversal of 146342323456 is 654323243641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146342323451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10929886 + ... + 10943266.

It is an arithmetic number, because the mean of its divisors is an integer number (2461752720).

Almost surely, 2146342323456 is an apocalyptic number.

146342323456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146342323456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177246195840).

146342323456 is an abundant number, since it is smaller than the sum of its proper divisors (208150068224).

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

146342323456 is a wasteful number, since it uses less digits than its factorization.

146342323456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13780 (or 13766 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 43.

The spelling of 146342323456 in words is "one hundred forty-six billion, three hundred forty-two million, three hundred twenty-three thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 256 272 359 448 476 544 718 896 952 1088 1436 1792 1904 2176 2513 2872 3808 4352 5026 5744 6103 7616 10052 11488 12206 13381 15232 20104 22976 24412 26762 30464 40208 42721 45952 48824 53524 80416 85442 91904 93667 97648 107048 160832 170884 187334 195296 214096 227477 321664 341768 374668 390592 428192 454954 643328 683536 749336 781184 856384 909908 1367072 1498672 1562368 1592339 1712768 1819816 2734144 2997344 3184678 3425536 3639632 4803779 5468288 5994688 6369356 7279264 9607558 10936576 11989376 12738712 14558528 19215116 23978752 25477424 29117056 33626453 38430232 50954848 58234112 67252906 76860464 81664243 101909696 134505812 153720928 163328486 203819392 269011624 307441856 326656972 407638784 538023248 571649701 614883712 653313944 1076046496 1143299402 1229767424 1306627888 2152092992 2286598804 2613255776 4304185984 4573197608 5226511552 8608371968 9146395216 10453023104 18292790432 20906046208 36585580864 73171161728 146342323456