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1426540653312 = 28319182911731
BaseRepresentation
bin10100110000100100011…
…100101110101100000000
312001101011001220200022120
4110300210130232230000
5141333023401401222
63011202125004240
7205031002325025
oct24604434565400
95041131820276
101426540653312
114aaaa1010a15
121b05816b3680
13a46a3397668
144d08b43954c
152719320c15c
hex14c2472eb00

1426540653312 has 144 divisors (see below), whose sum is σ = 3821485946880. Its totient is φ = 472413081600.

The previous prime is 1426540653277. The next prime is 1426540653379. The reversal of 1426540653312 is 2133560456241.

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, 121598487 + ... + 121610217.

Almost surely, 21426540653312 is an apocalyptic number.

1426540653312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1426540653312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910742973440).

1426540653312 is an abundant number, since it is smaller than the sum of its proper divisors (2394945293568).

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

1426540653312 is a wasteful number, since it uses less digits than its factorization.

1426540653312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12770 (or 12756 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 1426540653312 in words is "one trillion, four hundred twenty-six billion, five hundred forty million, six hundred fifty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 191 192 256 382 384 573 764 768 829 1146 1528 1658 2292 2487 3056 3316 4584 4974 6112 6632 9168 9948 11731 12224 13264 18336 19896 23462 24448 26528 35193 36672 39792 46924 48896 53056 70386 73344 79584 93848 106112 140772 146688 158339 159168 187696 212224 281544 316678 318336 375392 475017 563088 633356 636672 750784 950034 1126176 1266712 1501568 1900068 2240621 2252352 2533424 3003136 3800136 4481242 4504704 5066848 6721863 7600272 8962484 9009408 9724999 10133696 13443726 15200544 17924968 19449998 20267392 26887452 29174997 30401088 35849936 38899996 40534784 53774904 58349994 60802176 71699872 77799992 107549808 116699988 121604352 143399744 155599984 215099616 233399976 286799488 311199968 430199232 466799952 573598976 622399936 860398464 933599904 1244799872 1720796928 1857474809 1867199808 2489599744 3714949618 3734399616 5572424427 7429899236 7468799232 11144848854 14859798472 22289697708 29719596944 44579395416 59439193888 89158790832 118878387776 178317581664 237756775552 356635163328 475513551104 713270326656 1426540653312