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314301402121120 = 25537153134677631
BaseRepresentation
bin100011101110110101111111…
…1011011010000001110100000
31112012211220212010010200221121
41013131223333123100032200
5312144003232420333440
63032244023144502024
7123126345512661631
oct10735537733201640
91465756763120847
10314301402121120
1191167526749797
122b30187377a914
131064b6587c971b
1457883aa30b888
152650a7a07e34a
hex11ddaff6d03a0

314301402121120 has 96 divisors (see below), whose sum is σ = 763103763265536. Its totient is φ = 122242807065600.

The previous prime is 314301402121039. The next prime is 314301402121129. The reversal of 314301402121120 is 21121204103413.

It is not an unprimeable number, because it can be changed into a prime (314301402121129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8275296 + ... + 26402335.

It is an arithmetic number, because the mean of its divisors is an integer number (7948997534016).

Almost surely, 2314301402121120 is an apocalyptic number.

It is an amenable number.

314301402121120 is an abundant number, since it is smaller than the sum of its proper divisors (448802361144416).

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

314301402121120 is a wasteful number, since it uses less digits than its factorization.

314301402121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34679214 (or 34679206 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 314301402121120 its reverse (21121204103413), we get a palindrome (335422606224533).

The spelling of 314301402121120 in words is "three hundred fourteen trillion, three hundred one billion, four hundred two million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 1184 1480 1531 2960 3062 5920 6124 7655 12248 15310 24496 30620 48992 56647 61240 113294 122480 226588 244960 283235 453176 566470 906352 1132940 1812704 2265880 4531760 9063520 34677631 69355262 138710524 173388155 277421048 346776310 554842096 693552620 1109684192 1283072347 1387105240 2566144694 2774210480 5132289388 5548420960 6415361735 10264578776 12830723470 20529157552 25661446940 41058315104 51322893880 53091453061 102645787760 106182906122 205291575520 212365812244 265457265305 424731624488 530914530610 849463248976 1061829061220 1698926497952 1964383763257 2123658122440 3928767526514 4247316244880 7857535053028 8494632489760 9821918816285 15715070106056 19643837632570 31430140212112 39287675265140 62860280424224 78575350530280 157150701060560 314301402121120