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1001942942841 = 3613122832
BaseRepresentation
bin11101001010010000111…
…01000000010001111001
310112210012010102011000000
432211020131000101321
5112403434343132331
62044141454303213
7132250036331301
oct16451035002171
93483163364000
101001942942841
11356a15741685
121422247b7b09
1373637986569
14366cc4cc601
151b0e21080e6
hexe948740479

1001942942841 has 63 divisors (see below), whose sum is σ = 1519150085877. Its totient is φ = 660520743480.

The previous prime is 1001942942773. The next prime is 1001942942867. The reversal of 1001942942841 is 1482492491001.

The square root of 1001942942841 is 1000971.

It is a perfect power (a square), and thus also a powerful number.

1001942942841 is a `hidden beast` number, since 10 + 0 + 194 + 29 + 428 + 4 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2k-1001942942841 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1001942952841) by changing a digit.

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 62 ways as a sum of consecutive naturals, for example, 3540434286 + ... + 3540434568.

Almost surely, 21001942942841 is an apocalyptic number.

1001942942841 is the 1000971-st square number.

1001942942841 is the 500486-th centered octagonal number.

It is an amenable number.

1001942942841 is a deficient number, since it is larger than the sum of its proper divisors (517207143036).

1001942942841 is an frugal number, since it uses more digits than its factorization.

1001942942841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 1001942942841 in words is "one trillion, one billion, nine hundred forty-two million, nine hundred forty-two thousand, eight hundred forty-one".

Divisors: 1 3 9 27 81 131 243 283 393 729 849 1179 2547 3537 7641 10611 17161 22923 31833 37073 51483 68769 80089 95499 111219 154449 206307 240267 333657 463347 720801 1000971 1390041 2162403 3002913 4170123 4856563 6487209 9008739 10491659 12510369 14569689 19461627 27026217 31474977 43709067 58384881 94424931 131127201 283274793 393381603 849824379 1180144809 1374407329 2549473137 3540434427 4123221987 7648419411 12369665961 37108997883 111326993649 333980980947 1001942942841