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1354141663252 = 227217894999151
BaseRepresentation
bin10011101101001001001…
…000100000000000010100
311210110021110102220202021
4103231021020200000110
5134141240231211002
62514030055222524
7166555615136200
oct23551110400024
94713243386667
101354141663252
11482319737134
1219a537377a44
139a905c28c81
144977dd87b00
15253571c4737
hex13b49220014

1354141663252 has 144 divisors (see below), whose sum is σ = 2957834880000. Its totient is φ = 538930022400.

The previous prime is 1354141663249. The next prime is 1354141663253. The reversal of 1354141663252 is 2523661414531.

It is a junction number, because it is equal to n+sod(n) for n = 1354141663199 and 1354141663208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1354141663253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147972877 + ... + 147982027.

It is an arithmetic number, because the mean of its divisors is an integer number (20540520000).

Almost surely, 21354141663252 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 1354141663252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478917440000).

1354141663252 is an abundant number, since it is smaller than the sum of its proper divisors (1603693216748).

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

1354141663252 is a wasteful number, since it uses less digits than its factorization.

1354141663252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9774 (or 9765 counting only the distinct ones).

The product of its digits is 518400, while the sum is 43.

The spelling of 1354141663252 in words is "one trillion, three hundred fifty-four billion, one hundred forty-one million, six hundred sixty-three thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 17 28 34 49 68 89 98 119 178 196 238 356 476 499 623 833 998 1246 1513 1666 1996 2492 3026 3332 3493 4361 6052 6986 8483 8722 9151 10591 13972 16966 17444 18302 21182 24451 33932 36604 42364 44411 48902 59381 64057 74137 88822 97804 118762 128114 148274 155567 177644 237524 256228 296548 310877 311134 415667 448399 621754 622268 754987 814439 831334 896798 1088969 1243508 1509974 1628878 1662668 1793596 2176139 2177938 3019948 3257756 4352278 4355876 4566349 5284909 5701073 7622783 8704556 9132698 10569818 11402146 13845463 15245566 18265396 21139636 22804292 27690926 30491132 31964443 36994363 39907511 55381852 63928886 73988726 77627933 79815022 96918241 127857772 147977452 155255866 159630044 193836482 223751101 310511732 387672964 406405061 447502202 543395531 678427687 812810122 895004404 1086791062 1356855374 1625620244 2173582124 2713710748 2844835427 3803768717 5689670854 6908886037 7607537434 11379341708 13817772074 15215074868 19913847989 27635544148 39827695978 48362202259 79655391956 96724404518 193448809036 338535415813 677070831626 1354141663252