Search a number
-
+
1342926146688 = 27373491143111
BaseRepresentation
bin10011100010101100101…
…000101100110010000000
311202101022211110122100220
4103202230220230302000
5134000303043143223
62504533131543040
7166010650622160
oct23425450546200
94671284418326
101342926146688
11478593888585
121983272baa80
1399839473839
1448dd86165a0
1524dec7636e3
hex138aca2cc80

1342926146688 has 128 divisors (see below), whose sum is σ = 4077936368640. Its totient is φ = 383580595200.

The previous prime is 1342926146579. The next prime is 1342926146693. The reversal of 1342926146688 is 8866416292431.

It is a happy number.

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

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, 9312253 + ... + 9455363.

It is an arithmetic number, because the mean of its divisors is an integer number (31858877880).

Almost surely, 21342926146688 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 1342926146688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2038968184320).

1342926146688 is an abundant number, since it is smaller than the sum of its proper divisors (2735010221952).

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

1342926146688 is a wasteful number, since it uses less digits than its factorization.

1342926146688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146626 (or 146614 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 60.

The spelling of 1342926146688 in words is "one trillion, three hundred forty-two billion, nine hundred twenty-six million, one hundred forty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 3491 6982 10473 13964 20946 24437 27928 41892 48874 55856 73311 83784 97748 111712 143111 146622 167568 195496 223424 286222 293244 335136 390992 429333 446848 572444 586488 670272 781984 858666 1001777 1144888 1172976 1340544 1563968 1717332 2003554 2289776 2345952 3005331 3127936 3434664 4007108 4579552 4691904 6010662 6869328 8014216 9159104 9383808 12021324 13738656 16028432 18318208 24042648 27477312 32056864 48085296 54954624 64113728 96170592 128227456 192341184 384682368 499600501 999201002 1498801503 1998402004 2997603006 3497203507 3996804008 5995206012 6994407014 7993608016 10491610521 11990412024 13988814028 15987216032 20983221042 23980824048 27977628056 31974432064 41966442084 47961648096 55955256112 63948864128 83932884168 95923296192 111910512224 167865768336 191846592384 223821024448 335731536672 447642048896 671463073344 1342926146688