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1145143109952 = 26332003330853
BaseRepresentation
bin10000101010011111110…
…110010010100101000000
311001110210222210100202000
4100222133312102211000
5122230223114004302
62234023235024000
7145506466555002
oct20523766224500
94043728710660
101145143109952
1140171a482726
12165b2a13b000
1383ca954515a
143d5d4b4a372
151ebc3c5c31c
hex10a9fd92940

1145143109952 has 112 divisors (see below), whose sum is σ = 3368199593280. Its totient is φ = 381522645504.

The previous prime is 1145143109923. The next prime is 1145143109959. The reversal of 1145143109952 is 2599013415411.

1145143109952 is a `hidden beast` number, since 1 + 1 + 451 + 4 + 3 + 109 + 95 + 2 = 666.

It is a super-2 number, since 2×11451431099522 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1145143109898 and 1145143109907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145143109959) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3295758 + ... + 3626610.

Almost surely, 21145143109952 is an apocalyptic number.

1145143109952 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 1145143109952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684099796640).

1145143109952 is an abundant number, since it is smaller than the sum of its proper divisors (2223056483328).

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

1145143109952 is a wasteful number, since it uses less digits than its factorization.

1145143109952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332877 (or 332861 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 1145143109952 in words is "one trillion, one hundred forty-five billion, one hundred forty-three million, one hundred nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 2003 4006 6009 8012 12018 16024 18027 24036 32048 36054 48072 54081 64096 72108 96144 108162 128192 144216 192288 216324 288432 330853 384576 432648 576864 661706 865296 992559 1153728 1323412 1730592 1985118 2646824 2977677 3461184 3970236 5293648 5955354 7940472 8933031 10587296 11910708 15880944 17866062 21174592 23821416 31761888 35732124 47642832 63523776 71464248 95285664 142928496 190571328 285856992 571713984 662698559 1325397118 1988095677 2650794236 3976191354 5301588472 5964287031 7952382708 10603176944 11928574062 15904765416 17892861093 21206353888 23857148124 31809530832 35785722186 42412707776 47714296248 63619061664 71571444372 95428592496 127238123328 143142888744 190857184992 286285777488 381714369984 572571554976 1145143109952