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1154442045320 = 235372938533121
BaseRepresentation
bin10000110011001010000…
…110111010011110001000
311002100211001101012222122
4100303022012322132020
5122403244130422240
62242202055310412
7146256102322514
oct20631206723610
94070731335878
101154442045320
11405661490483
121678a437b408
1384b2bc0c785
143dc37b39144
152006a2d74b5
hex10cca1ba788

1154442045320 has 128 divisors (see below), whose sum is σ = 2680798710240. Its totient is φ = 447094702080.

The previous prime is 1154442045259. The next prime is 1154442045329. The reversal of 1154442045320 is 235402444511.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 34405056196 + 1120036989124 = 185486^2 + 1058318^2 .

It is not an unprimeable number, because it can be changed into a prime (1154442045329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 369893360 + ... + 369896480.

Almost surely, 21154442045320 is an apocalyptic number.

1154442045320 is a gapful number since it is divisible by the number (10) 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 1154442045320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340399355120).

1154442045320 is an abundant number, since it is smaller than the sum of its proper divisors (1526356664920).

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

1154442045320 is a wasteful number, since it uses less digits than its factorization.

1154442045320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4315 (or 4311 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 1154442045320 its reverse (235402444511), we get a palindrome (1389844489831).

The spelling of 1154442045320 in words is "one trillion, one hundred fifty-four billion, four hundred forty-two million, forty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 293 296 370 586 740 853 1172 1465 1480 1706 2344 2930 3121 3412 4265 5860 6242 6824 8530 10841 11720 12484 15605 17060 21682 24968 31210 31561 34120 43364 54205 62420 63122 86728 108410 115477 124840 126244 157805 216820 230954 249929 252488 315610 433640 461908 499858 577385 631220 914453 923816 999716 1154770 1249645 1262440 1828906 1999432 2309540 2499290 2662213 3657812 4572265 4619080 4998580 5324426 7315624 9144530 9247373 9997160 10648852 13311065 18289060 18494746 21297704 26622130 33834761 36578120 36989492 46236865 53244260 67669522 73978984 92473730 98501881 106488520 135339044 169173805 184947460 197003762 270678088 338347610 369894920 394007524 492509405 676695220 780028409 788015048 985018810 1353390440 1560056818 1970037620 3120113636 3900142045 3940075240 6240227272 7800284090 15600568180 28861051133 31201136360 57722102266 115444204532 144305255665 230888409064 288610511330 577221022660 1154442045320