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34276112385456 = 2431985014421063
BaseRepresentation
bin1111100101100100001111…
…00000001100010110110000
311111100202122012112221022210
413302302013200030112300
513443034434232313311
6200522121215532120
710135240006062624
oct762620740142660
9144322565487283
1034276112385456
11aa15465957617
123a16b3482a040
1316182ba129306
14866d890c9184
153e69012513a6
hex1f2c8780c5b0

34276112385456 has 80 divisors (see below), whose sum is σ = 93217957597440. Its totient is φ = 10822759776000.

The previous prime is 34276112385439. The next prime is 34276112385491. The reversal of 34276112385456 is 65458321167243.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 34276112385396 and 34276112385405.

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, 5542381 + ... + 9963443.

It is an arithmetic number, because the mean of its divisors is an integer number (1165224469968).

Almost surely, 234276112385456 is an apocalyptic number.

It is an amenable number.

34276112385456 is an abundant number, since it is smaller than the sum of its proper divisors (58941845211984).

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

34276112385456 is a wasteful number, since it uses less digits than its factorization.

34276112385456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4429594 (or 4429588 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 57.

The spelling of 34276112385456 in words is "thirty-four trillion, two hundred seventy-six billion, one hundred twelve million, three hundred eighty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 8501 17002 25503 34004 51006 68008 102012 136016 161519 204024 323038 408048 484557 646076 969114 1292152 1938228 2584304 3876456 4421063 7752912 8842126 13263189 17684252 26526378 35368504 53052756 70737008 84000197 106105512 168000394 212211024 252000591 336000788 504001182 672001576 1008002364 1344003152 2016004728 4032009456 37583456563 75166913126 112750369689 150333826252 225500739378 300667652504 451001478756 601335305008 714085674697 902002957512 1428171349394 1804005915024 2142257024091 2856342698788 4284514048182 5712685397576 8569028096364 11425370795152 17138056192728 34276112385456