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1004441413152 = 253283118731147
BaseRepresentation
bin11101001110111010101…
…11111010011000100000
310120000122020201120221110
432213131113322120200
5112424044000210102
62045233425223320
7132365665066302
oct16473527723040
93500566646843
101004441413152
11357a87aa0381
12142801491b40
137394549b668
1436888261972
151b1db63086c
hexe9dd5fa620

1004441413152 has 96 divisors (see below), whose sum is σ = 2648289676032. Its totient is φ = 333338943744.

The previous prime is 1004441413141. The next prime is 1004441413259. The reversal of 1004441413152 is 2513141444001.

It is a tau number, because it is divible by the number of its divisors (96).

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, 32232843 + ... + 32263989.

It is an arithmetic number, because the mean of its divisors is an integer number (27586350792).

Almost surely, 21004441413152 is an apocalyptic number.

1004441413152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1004441413152 is an abundant number, since it is smaller than the sum of its proper divisors (1643848262880).

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

1004441413152 is a wasteful number, since it uses less digits than its factorization.

1004441413152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32630 (or 32622 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 1004441413152 its reverse (2513141444001), we get a palindrome (3517582857153).

The spelling of 1004441413152 in words is "one trillion, four billion, four hundred forty-one million, four hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 283 566 849 1132 1187 1698 2264 2374 3396 3561 4528 4748 6792 7122 9056 9496 13584 14244 18992 27168 28488 31147 37984 56976 62294 93441 113952 124588 186882 249176 335921 373764 498352 671842 747528 996704 1007763 1343684 1495056 2015526 2687368 2990112 4031052 5374736 8062104 8814601 10749472 16124208 17629202 26443803 32248416 35258404 36971489 52887606 70516808 73942978 105775212 110914467 141033616 147885956 211550424 221828934 282067232 295771912 423100848 443657868 591543824 846201696 887315736 1183087648 1774631472 3549262944 10462931387 20925862774 31388794161 41851725548 62777588322 83703451096 125555176644 167406902192 251110353288 334813804384 502220706576 1004441413152