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1453621114116 = 22322910929343597
BaseRepresentation
bin10101001001110010100…
…100011111010100000100
312010222001100120121211100
4111021302210133110010
5142304004001122431
63031441225140100
7210010041413553
oct25116244372404
95128040517740
101453621114116
1151052824aa36
121b587a92a630
13a70ca93a272
14504d9c23d9a
1527c2a8874e6
hex1527291f504

1453621114116 has 144 divisors (see below), whose sum is σ = 3849188943600. Its totient is φ = 461947401216.

The previous prime is 1453621114109. The next prime is 1453621114163. The reversal of 1453621114116 is 6114111263541.

1453621114116 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 621 + 1 + 14 + 1 + 16 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2367211716 + 1451253902400 = 48654^2 + 1204680^2 .

It is a super-2 number, since 2×14536211141162 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33320430 + ... + 33364026.

It is an arithmetic number, because the mean of its divisors is an integer number (26730478775).

Almost surely, 21453621114116 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 1453621114116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924594471800).

1453621114116 is an abundant number, since it is smaller than the sum of its proper divisors (2395567829484).

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

1453621114116 is a wasteful number, since it uses less digits than its factorization.

1453621114116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44038 (or 44033 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

Adding to 1453621114116 its reverse (6114111263541), we get a palindrome (7567732377657).

The spelling of 1453621114116 in words is "one trillion, four hundred fifty-three billion, six hundred twenty-one million, one hundred fourteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 109 116 174 218 261 293 327 348 436 522 586 654 879 981 1044 1172 1308 1758 1962 2637 3161 3516 3924 5274 6322 8497 9483 10548 12644 16994 18966 25491 28449 31937 33988 37932 43597 50982 56898 63874 76473 87194 95811 101964 113796 127748 130791 152946 174388 191622 261582 287433 305892 383244 392373 523164 574866 784746 926173 1149732 1264313 1569492 1852346 2528626 2778519 3704692 3792939 4752073 5057252 5557038 7585878 8335557 9504146 11114076 11378817 12773921 14256219 15171756 16671114 19008292 22757634 25547842 28512438 33342228 38321763 42768657 45515268 51095684 57024876 76643526 85537314 114965289 137810117 153287052 171074628 229930578 275620234 370443709 413430351 459861156 551240468 740887418 826860702 1111331127 1240291053 1392357389 1481774836 1653721404 2222662254 2480582106 2784714778 3333993381 4177072167 4445324508 4961164212 5569429556 6667986762 8354144334 12531216501 13335973524 16708288668 25062433002 40378364281 50124866004 80756728562 121135092843 161513457124 242270185686 363405278529 484540371372 726810557058 1453621114116