Search a number
-
+
1143327076992 = 2733833985829
BaseRepresentation
bin10000101000110011100…
…110101011001010000000
311001022010102121022212000
4100220303212223022000
5122213013212430432
62233123123104000
7145413465543162
oct20506346531200
94038112538760
101143327076992
11400978368241
12165701b12000
1383a7a230539
143d4a189c932
151eb195d857c
hex10a339ab280

1143327076992 has 128 divisors (see below), whose sum is σ = 3415059144000. Its totient is φ = 376517256192.

The previous prime is 1143327076967. The next prime is 1143327076993. The reversal of 1143327076992 is 2996707233411.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1143327076993) 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, 1706067 + ... + 2279762.

Almost surely, 21143327076992 is an apocalyptic number.

1143327076992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1143327076992 is an abundant number, since it is smaller than the sum of its proper divisors (2271732067008).

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

1143327076992 is an equidigital number, since it uses as much as digits as its factorization.

1143327076992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3985935 (or 3985917 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 1143327076992 in words is "one trillion, one hundred forty-three billion, three hundred twenty-seven million, seventy-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 83 96 108 128 144 166 192 216 249 288 332 384 432 498 576 664 747 864 996 1152 1328 1494 1728 1992 2241 2656 2988 3456 3984 4482 5312 5976 7968 8964 10624 11952 15936 17928 23904 31872 35856 47808 71712 95616 143424 286848 3985829 7971658 11957487 15943316 23914974 31886632 35872461 47829948 63773264 71744922 95659896 107617383 127546528 143489844 191319792 215234766 255093056 286979688 330823807 382639584 430469532 510186112 573959376 661647614 765279168 860939064 992471421 1147918752 1323295228 1530558336 1721878128 1984942842 2295837504 2646590456 2977414263 3443756256 3969885684 4591675008 5293180912 5954828526 6887512512 7939771368 8932242789 10586361824 11909657052 13775025024 15879542736 17864485578 21172723648 23819314104 31759085472 35728971156 42345447296 47638628208 63518170944 71457942312 95277256416 127036341888 142915884624 190554512832 285831769248 381109025664 571663538496 1143327076992