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2141141533696 = 21011241572
BaseRepresentation
bin11111001010000101111…
…110110000010000000000
321120200122211112122120001
4133022011332300100000
5240040024213034241
64315343221525344
7310456324513654
oct37120576602000
97520584478501
102141141533696
11756064638100
122a6b73b73854
13126ba7789999
14758bb94ca64
153aa6903b431
hex1f285fb0400

2141141533696 has 99 divisors (see below), whose sum is σ = 4705805990557. Its totient is φ = 973012029440.

The previous prime is 2141141533651. The next prime is 2141141533697. The reversal of 2141141533696 is 6963351411412.

It is a happy number.

The square root of 2141141533696 is 1463264.

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

It can be written as a sum of positive squares in only one way, i.e., 974879769600 + 1166261764096 = 987360^2 + 1079936^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2141141533697) 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 8 ways as a sum of consecutive naturals, for example, 515066850 + ... + 515071006.

Almost surely, 22141141533696 is an apocalyptic number.

2141141533696 is the 1463264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2141141533696

2141141533696 is an abundant number, since it is smaller than the sum of its proper divisors (2564664456861).

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

2141141533696 is an frugal number, since it uses more digits than its factorization.

2141141533696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8356 (or 4170 counting only the distinct ones).

The product of its digits is 466560, while the sum is 46.

The spelling of 2141141533696 in words is "two trillion, one hundred forty-one billion, one hundred forty-one million, five hundred thirty-three thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 968 1024 1408 1936 2816 3872 4157 5632 7744 8314 11264 15488 16628 30976 33256 45727 61952 66512 91454 123904 133024 182908 266048 365816 502997 532096 731632 1005994 1064192 1463264 2011988 2128384 2926528 4023976 4256768 5853056 8047952 11706112 16095904 17280649 23412224 32191808 34561298 46824448 64383616 69122596 128767232 138245192 190087139 257534464 276490384 380174278 515068928 552980768 760348556 1105961536 1520697112 2090958529 2211923072 3041394224 4181917058 4423846144 6082788448 8363834116 8847692288 12165576896 16727668232 17695384576 24331153792 33455336464 48662307584 66910672928 97324615168 133821345856 194649230336 267642691712 535285383424 1070570766848 2141141533696