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1140034044032 = 271310712750417
BaseRepresentation
bin10000100101101111010…
…100110000000010000000
311000222121221011220212022
4100211233110300002000
5122134242203402112
62231420250021012
7145236051326042
oct20455724600200
94028557156768
101140034044032
113aa5385518a4
12164b43117768
1383673c1a420
143d26c3b7a92
151e9c545ed72
hex1096f530080

1140034044032 has 128 divisors (see below), whose sum is σ = 2488213002240. Its totient is φ = 517137481728.

The previous prime is 1140034043977. The next prime is 1140034044101. The reversal of 1140034044032 is 2304404300411.

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

It is a super-2 number, since 2×11400340440322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 1140034043992 and 1140034044010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22586888 + ... + 22637304.

It is an arithmetic number, because the mean of its divisors is an integer number (19439164080).

Almost surely, 21140034044032 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 1140034044032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244106501120).

1140034044032 is an abundant number, since it is smaller than the sum of its proper divisors (1348178958208).

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

1140034044032 is a wasteful number, since it uses less digits than its factorization.

1140034044032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50678 (or 50666 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 1140034044032 its reverse (2304404300411), we get a palindrome (3444438344443).

The spelling of 1140034044032 in words is "one trillion, one hundred forty billion, thirty-four million, forty-four thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 107 127 128 208 214 254 416 428 508 832 856 1016 1391 1651 1664 1712 2032 2782 3302 3424 4064 5564 6604 6848 8128 11128 13208 13589 13696 16256 22256 26416 27178 44512 50417 52832 54356 89024 100834 105664 108712 176657 178048 201668 211328 217424 353314 403336 434848 655421 706628 806672 869696 1310842 1413256 1613344 1739392 2621684 2826512 3226688 5243368 5394619 5653024 6402959 6453376 10486736 10789238 11306048 12805918 20973472 21578476 22612096 25611836 41946944 43156952 51223672 70130047 83238467 83893888 86313904 102447344 140260094 166476934 172627808 204894688 280520188 332953868 345255616 409789376 561040376 665907736 685116613 690511232 819578752 1122080752 1331815472 1370233226 2244161504 2663630944 2740466452 4488323008 5327261888 5480932904 8906515969 8976646016 10654523776 10961865808 17813031938 21923731616 35626063876 43847463232 71252127752 87694926464 142504255504 285008511008 570017022016 1140034044032