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1044014202240 = 2735630186297
BaseRepresentation
bin11110011000101000001…
…10000111110110000000
310200210210010220120020120
433030110012013312000
5114101120113432430
62115340303340240
7135266434204242
oct17142406076600
93623703816216
101044014202240
11372844888549
1214a4062b1680
13775b0ba2ca9
143875dbc4092
151c25587b610
hexf314187d80

1044014202240 has 128 divisors (see below), whose sum is σ = 3328361975520. Its totient is φ = 278356377600.

The previous prime is 1044014202211. The next prime is 1044014202269. The reversal of 1044014202240 is 422024104401.

It is an interprime number because it is at equal distance from previous prime (1044014202211) and next prime (1044014202269).

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1044014202240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12054772 + ... + 12141068.

Almost surely, 21044014202240 is an apocalyptic number.

1044014202240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1044014202240 is an abundant number, since it is smaller than the sum of its proper divisors (2284347773280).

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

1044014202240 is an equidigital number, since it uses as much as digits as its factorization.

1044014202240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92620 (or 92608 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 1044014202240 its reverse (422024104401), we get a palindrome (1466038306641).

The spelling of 1044014202240 in words is "one trillion, forty-four billion, fourteen million, two hundred two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 6301 12602 18903 25204 31505 37806 50408 63010 75612 86297 94515 100816 126020 151224 172594 189030 201632 252040 258891 302448 345188 378060 403264 431485 504080 517782 604896 690376 756120 806528 862970 1008160 1035564 1209792 1294455 1380752 1512240 1725940 2016320 2071128 2419584 2588910 2761504 3024480 3451880 4032640 4142256 5177820 5523008 6048960 6903760 8284512 10355640 11046016 12097920 13807520 16569024 20711280 27615040 33138048 41422560 55230080 82845120 165690240 543757397 1087514794 1631272191 2175029588 2718786985 3262544382 4350059176 5437573970 6525088764 8156360955 8700118352 10875147940 13050177528 16312721910 17400236704 21750295880 26100355056 32625443820 34800473408 43500591760 52200710112 65250887640 69600946816 87001183520 104401420224 130501775280 174002367040 208802840448 261003550560 348004734080 522007101120 1044014202240