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316415004153216 = 2734633172356101
BaseRepresentation
bin100011111110001110001101…
…1111011001001010110000000
31112111022222102200020201101220
41013330130123323021112000
5312433120412030400331
63040543013551355040
7123435141525554523
oct10774343373112600
91474288380221356
10316415004153216
1191901938a16711
122b5a3420822a80
1310772a6489ca17
14581c7d44dcbba
15268aa314b8296
hex11fc71bec9580

316415004153216 has 128 divisors (see below), whose sum is σ = 842334206461440. Its totient is φ = 105238673971200.

The previous prime is 316415004153139. The next prime is 316415004153253. The reversal of 316415004153216 is 612351400514613.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5640067566 + ... + 5640123666.

It is an arithmetic number, because the mean of its divisors is an integer number (6580735987980).

Almost surely, 2316415004153216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 316415004153216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421167103230720).

316415004153216 is an abundant number, since it is smaller than the sum of its proper divisors (525919202308224).

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

316415004153216 is a wasteful number, since it uses less digits than its factorization.

316415004153216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88304 (or 88292 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

Adding to 316415004153216 its reverse (612351400514613), we get a palindrome (928766404667829).

The spelling of 316415004153216 in words is "three hundred sixteen trillion, four hundred fifteen billion, four million, one hundred fifty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 463 926 1389 1852 2778 3704 5556 7408 11112 14816 22224 29632 31723 44448 56101 59264 63446 88896 95169 112202 126892 168303 177792 190338 224404 253784 336606 380676 448808 507568 673212 761352 897616 1015136 1346424 1522704 1795232 2030272 2692848 3045408 3590464 4060544 5385696 6090816 7180928 10771392 12181632 14687749 21542784 25974763 29375498 44063247 51949526 58750996 77924289 88126494 103899052 117501992 155848578 176252988 207798104 235003984 311697156 352505976 415596208 470007968 623394312 705011952 831192416 940015936 1246788624 1410023904 1662384832 1779692023 1880031872 2493577248 2820047808 3324769664 3559384046 4987154496 5339076069 5640095616 7118768092 9974308992 10678152138 14237536184 21356304276 28475072368 42712608552 56950144736 85425217104 113900289472 170850434208 227800578944 341700868416 683401736832 823997406649 1647994813298 2471992219947 3295989626596 4943984439894 6591979253192 9887968879788 13183958506384 19775937759576 26367917012768 39551875519152 52735834025536 79103751038304 105471668051072 158207502076608 316415004153216