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315401223040 = 2751747616789
BaseRepresentation
bin1001001011011110110…
…00001011101110000000
31010011002212001012222021
410211233120023232000
520131420203114130
6400520542451224
731533636106261
oct4455730135600
91104085035867
10315401223040
1111184084a102
1251163293b14
1323985826b37
14113a0768968
15830e82937a
hex496f60bb80

315401223040 has 128 divisors (see below), whose sum is σ = 815347036800. Its totient is φ = 116212727808.

The previous prime is 315401223017. The next prime is 315401223077. The reversal of 315401223040 is 40322104513.

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

It is a junction number, because it is equal to n+sod(n) for n = 315401222996 and 315401223014.

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, 202966 + ... + 819754.

It is an arithmetic number, because the mean of its divisors is an integer number (6369898725).

Almost surely, 2315401223040 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 315401223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407673518400).

315401223040 is an abundant number, since it is smaller than the sum of its proper divisors (499945813760).

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

315401223040 is a wasteful number, since it uses less digits than its factorization.

315401223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616872 (or 616860 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 315401223040 its reverse (40322104513), we get a palindrome (355723327553).

The spelling of 315401223040 in words is "three hundred fifteen billion, four hundred one million, two hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 47 64 68 80 85 94 128 136 160 170 188 235 272 320 340 376 470 544 640 680 752 799 940 1088 1360 1504 1598 1880 2176 2720 3008 3196 3760 3995 5440 6016 6392 7520 7990 10880 12784 15040 15980 25568 30080 31960 51136 63920 102272 127840 255680 511360 616789 1233578 2467156 3083945 4934312 6167890 9868624 10485413 12335780 19737248 20970826 24671560 28989083 39474496 41941652 49343120 52427065 57978166 78948992 83883304 98686240 104854130 115956332 144945415 167766608 197372480 209708260 231912664 289890830 335533216 394744960 419416520 463825328 492814411 579781660 671066432 838833040 927650656 985628822 1159563320 1342132864 1677666080 1855301312 1971257644 2319126640 2464072055 3355332160 3710602624 3942515288 4638253280 4928144110 6710664320 7885030576 9276506560 9856288220 15770061152 18553013120 19712576440 31540122304 39425152880 63080244608 78850305760 157700611520 315401223040