Search a number
-
+
1302402142041 = 3711133740129231
BaseRepresentation
bin10010111100111101001…
…101111000111101011001
311121111201122101220121220
4102330331031320331121
5132314304422021131
62434152033522253
7163044511356060
oct22747515707531
94544648356556
101302402142041
11462389068050
121904b7a13389
1395a7b983070
14470726051d7
1523d29c70e96
hex12f3d378f59

1302402142041 has 128 divisors (see below), whose sum is σ = 2400642220032. Its totient is φ = 606113280000.

The previous prime is 1302402141979. The next prime is 1302402142051. The reversal of 1302402142041 is 1402412042031.

It is not a de Polignac number, because 1302402142041 - 221 = 1302400044889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1302402142051) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44540896 + ... + 44570126.

It is an arithmetic number, because the mean of its divisors is an integer number (18755017344).

Almost surely, 21302402142041 is an apocalyptic number.

1302402142041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1302402142041 is a deficient number, since it is larger than the sum of its proper divisors (1098240077991).

1302402142041 is a wasteful number, since it uses less digits than its factorization.

1302402142041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29703.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1302402142041 its reverse (1402412042031), we get a palindrome (2704814184072).

The spelling of 1302402142041 in words is "one trillion, three hundred two billion, four hundred two million, one hundred forty-two thousand, forty-one".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 231 259 273 401 407 429 481 777 1001 1203 1221 1443 2807 2849 3003 3367 4411 5213 5291 8421 8547 10101 13233 14837 15639 15873 29231 30877 36491 37037 44511 57343 87693 92631 103859 109473 111111 163207 172029 192881 204617 311577 321541 380003 401401 489621 578643 613851 964623 1081547 1140009 1142449 1204203 1350167 2121691 2250787 2660021 3244641 3427347 4050501 4180033 6365073 6752361 7570829 7980063 11721631 11897017 12540099 14060111 14851837 22712487 29260231 35164893 35691051 42180333 44555511 82051417 83279119 87780693 98420777 128937941 152381203 154661221 246154251 249837357 295262331 386813823 433700347 457143609 463983663 902565587 1066668421 1082628547 1301101041 1676193233 2707696761 3035902429 3200005263 3247885641 4770703817 5028579699 5638104511 9107707287 11733352631 14312111451 16914313533 33394926719 35200057893 39466731577 62019149621 100184780157 118400194731 186057448863 434134047347 1302402142041