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1144709547921 = 3453222432
BaseRepresentation
bin10000101010000110000…
…000011000011110010001
311001102200202222010110000
4100222012000120132101
5122223331121013141
62233512230200213
7145462653420522
oct20520600303621
94042622863400
101144709547921
114015177740a5
12165a28ab3069
1383c3a782484
143d59332a849
151eb9ab695b6
hex10a86018791

1144709547921 has 45 divisors (see below), whose sum is σ = 1743648460939. Its totient is φ = 748407024144.

The previous prime is 1144709547907. The next prime is 1144709547941. The reversal of 1144709547921 is 1297459074411.

The square root of 1144709547921 is 1069911.

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

1144709547921 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 7 + 0 + 9 + 547 + 92 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 825217812225 + 319491735696 = 908415^2 + 565236^2 .

It is not a de Polignac number, because 1144709547921 - 217 = 1144709416849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1144709547901) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 510346426 + ... + 510348668.

Almost surely, 21144709547921 is an apocalyptic number.

1144709547921 is the 1069911-st square number.

1144709547921 is the 534956-th centered octagonal number.

It is an amenable number.

1144709547921 is a deficient number, since it is larger than the sum of its proper divisors (598938913018).

1144709547921 is an frugal number, since it uses more digits than its factorization.

1144709547921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4604 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 1144709547921 in words is "one trillion, one hundred forty-four billion, seven hundred nine million, five hundred forty-seven thousand, nine hundred twenty-one".

Divisors: 1 3 9 27 53 81 159 477 1431 2243 2809 4293 6729 8427 20187 25281 60561 75843 118879 181683 227529 356637 1069911 3209733 5031049 6300587 9629199 15093147 18901761 45279441 56705283 135838323 170115849 266645597 407514969 510347547 799936791 2399810373 7199431119 14132216641 21598293357 42396649923 127189949769 381569849307 1144709547921