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1004321210144 = 25776920892791
BaseRepresentation
bin11101001110101100011…
…01010111111100100000
310120000022212112122102012
432213112031113330200
5112423322212211034
62045213453012052
7132363005301230
oct16472615277440
93500285478365
101004321210144
11357a2616004a
12142789184028
1373926603215
14368762d1cc0
151b1d0cd9cce
hexe9d6357f20

1004321210144 has 96 divisors (see below), whose sum is σ = 2264555462400. Its totient is φ = 429503938560.

The previous prime is 1004321210141. The next prime is 1004321210153. The reversal of 1004321210144 is 4410121234001.

It is a super-2 number, since 2×10043212101442 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1004321210141) 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, 359841389 + ... + 359844179.

It is an arithmetic number, because the mean of its divisors is an integer number (23589119400).

Almost surely, 21004321210144 is an apocalyptic number.

1004321210144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1004321210144 is an abundant number, since it is smaller than the sum of its proper divisors (1260234252256).

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

1004321210144 is a wasteful number, since it uses less digits than its factorization.

1004321210144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5666 (or 5658 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 1004321210144 its reverse (4410121234001), we get a palindrome (5414442444145).

The spelling of 1004321210144 in words is "one trillion, four billion, three hundred twenty-one million, two hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 769 1538 2089 2791 3076 4178 5383 5582 6152 8356 10766 11164 12304 14623 16712 19537 21532 22328 24608 29246 33424 39074 43064 44656 58492 66848 78148 86128 89312 116984 156296 172256 233968 312592 467936 625184 1606441 2146279 3212882 4292558 5830399 6425764 8585116 11245087 11660798 12851528 15023953 17170232 22490174 23321596 25703056 30047906 34340464 40812793 44980348 46643192 51406112 60095812 68680928 81625586 89960696 93286384 120191624 163251172 179921392 186572768 240383248 326502344 359842784 480766496 653004688 1306009376 4483576831 8967153662 17934307324 31385037817 35868614648 62770075634 71737229296 125540151268 143474458592 251080302536 502160605072 1004321210144