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1120149173641 = 312341412
BaseRepresentation
bin10000010011001110000…
…101111111010110001001
310222002022010021211202011
4100103032011333112021
5121323031142024031
62214331152135521
7143633224610011
oct20231605772611
93862263254664
101120149173641
113a2064008413
121611138375a1
1381825352924
143c303500c41
151e20e8866b1
hex104ce17f589

1120149173641 has 9 divisors (see below), whose sum is σ = 1157482528839. Its totient is φ = 1083983578200.

The previous prime is 1120149173623. The next prime is 1120149173683. The reversal of 1120149173641 is 1463719410211.

The square root of 1120149173641 is 1058371.

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., 569377394041 + 550771779600 = 754571^2 + 742140^2 .

It is not a de Polignac number, because 1120149173641 - 27 = 1120149173513 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1120149173594 and 1120149173603.

It is not an unprimeable number, because it can be changed into a prime (1120149173621) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 32792431 + ... + 32826571.

It is an arithmetic number, because the mean of its divisors is an integer number (128609169871).

Almost surely, 21120149173641 is an apocalyptic number.

1120149173641 is the 1058371-st square number.

1120149173641 is the 529186-th centered octagonal number.

It is an amenable number.

1120149173641 is a deficient number, since it is larger than the sum of its proper divisors (37333355198).

1120149173641 is an frugal number, since it uses more digits than its factorization.

1120149173641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68344 (or 34172 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The spelling of 1120149173641 in words is "one trillion, one hundred twenty billion, one hundred forty-nine million, one hundred seventy-three thousand, six hundred forty-one".

Divisors: 1 31 961 34141 1058371 32809501 1165607881 36133844311 1120149173641