Search a number
-
+
1163023543440 = 2432511146846407
BaseRepresentation
bin10000111011001001100…
…110101110110010010000
311010011222002222111100100
4100323021212232302100
5123023333011342230
62250141410452400
7150011544002463
oct20731146566220
94104862874310
101163023543440
11409265519a90
1216949a294100
1385898a70c05
144040d7312da
15203bd898660
hex10ec99aec90

1163023543440 has 120 divisors (see below), whose sum is σ = 4260895374528. Its totient is φ = 281945099520.

The previous prime is 1163023543403. The next prime is 1163023543453. The reversal of 1163023543440 is 443453203611.

1163023543440 is a `hidden beast` number, since 1 + 1 + 6 + 302 + 3 + 5 + 4 + 344 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 1163023543395 and 1163023543404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73415284 + ... + 73431123.

Almost surely, 21163023543440 is an apocalyptic number.

1163023543440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1163023543440 is an abundant number, since it is smaller than the sum of its proper divisors (3097871831088).

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

1163023543440 is a wasteful number, since it uses less digits than its factorization.

1163023543440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146846437 (or 146846428 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 1163023543440 in words is "one trillion, one hundred sixty-three billion, twenty-three million, five hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7920 146846407 293692814 440539221 587385628 734232035 881078442 1174771256 1321617663 1468464070 1615310477 1762156884 2202696105 2349542512 2643235326 2936928140 3230620954 3524313768 4405392210 4845931431 5286470652 5873856280 6461241908 6608088315 7048627536 8076552385 8810784420 9691862862 10572941304 11747712560 12922483816 13216176630 14537794293 16153104770 17621568840 19383725724 21145882608 24229657155 25844967632 26432353260 29075588586 32306209540 35243137680 38767451448 48459314310 52864706520 58151177172 64612419080 72688971465 77534902896 96918628620 105729413040 116302354344 129224838160 145377942930 193837257240 232604708688 290755885860 387674514480 581511771720 1163023543440