Search a number
-
+
1256013107440 = 245721324647039
BaseRepresentation
bin10010010001110000001…
…101110001000011110000
311110001222201020210022021
4102101300031301003300
5131034303323414230
62401000543521224
7156513114155200
oct22216015610360
94401881223267
101256013107440
11444743722823
121835102b9214
1391598062570
1444b116ba400
1522a12406c7a
hex124703710f0

1256013107440 has 120 divisors (see below), whose sum is σ = 3658310853120. Its totient is φ = 397507428864.

The previous prime is 1256013107429. The next prime is 1256013107491. The reversal of 1256013107440 is 447013106521.

It is a super-2 number, since 2×12560131074402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1256013107396 and 1256013107405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12272560 + ... + 12374479.

It is an arithmetic number, because the mean of its divisors is an integer number (30485923776).

Almost surely, 21256013107440 is an apocalyptic number.

1256013107440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1256013107440 is an abundant number, since it is smaller than the sum of its proper divisors (2402297745680).

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

1256013107440 is a wasteful number, since it uses less digits than its factorization.

1256013107440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24647079 (or 24647066 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The spelling of 1256013107440 in words is "one trillion, two hundred fifty-six billion, thirteen million, one hundred seven thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 49 52 56 65 70 80 91 98 104 112 130 140 182 196 208 245 260 280 364 392 455 490 520 560 637 728 784 910 980 1040 1274 1456 1820 1960 2548 3185 3640 3920 5096 6370 7280 10192 12740 25480 50960 24647039 49294078 98588156 123235195 172529273 197176312 246470390 320411507 345058546 394352624 492940780 640823014 690117092 862646365 985881560 1207704911 1281646028 1380234184 1602057535 1725292730 1971763120 2242880549 2415409822 2563292056 2760468368 3204115070 3450585460 4485761098 4830819644 5126584112 6038524555 6408230140 6901170920 8971522196 9661639288 11214402745 12077049110 12816460280 13802341840 15700163843 17943044392 19323278576 22428805490 24154098220 25632920560 31400327686 35886088784 44857610980 48308196440 62800655372 78500819215 89715221960 96616392880 125601310744 157001638430 179430443920 251202621488 314003276860 628006553720 1256013107440