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2142036302412 = 2231726344988919
BaseRepresentation
bin11111001010111011010…
…100000001101001001100
321120202222012012121111010
4133022323110001221030
5240043342243134122
64320012103525220
7310520441104056
oct37127324015114
97522865177433
102142036302412
11756483717086
122a7183759810
13126cbac71226
14759647068d6
153aabc882e0c
hex1f2bb501a4c

2142036302412 has 96 divisors (see below), whose sum is σ = 5324102784000. Its totient is φ = 667957706752.

The previous prime is 2142036302353. The next prime is 2142036302453.

2142036302412 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 2142036302412.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24045289 + ... + 24134207.

It is an arithmetic number, because the mean of its divisors is an integer number (55459404000).

Almost surely, 22142036302412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142036302412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2662051392000).

2142036302412 is an abundant number, since it is smaller than the sum of its proper divisors (3182066481588).

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

2142036302412 is a wasteful number, since it uses less digits than its factorization.

2142036302412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89655 (or 89653 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 2142036302412 in words is "two trillion, one hundred forty-two billion, thirty-six million, three hundred two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 263 449 526 789 898 1052 1347 1578 1796 2694 3156 4471 5388 7633 8942 13413 15266 17884 22899 26826 30532 45798 53652 88919 91596 118087 177838 236174 266757 354261 355676 472348 533514 708522 1067028 1417044 1511623 2007479 3023246 4014958 4534869 6022437 6046492 8029916 9069738 12044874 18139476 23385697 24089748 39924631 46771394 70157091 79849262 93542788 119773893 140314182 159698524 239547786 280628364 397556849 479095572 678718727 795113698 1192670547 1357437454 1590227396 2036156181 2385341094 2714874908 4072312362 4770682188 8144624724 10500177953 21000355906 31500533859 42000711812 63001067718 126002135436 178503025201 357006050402 535509075603 714012100804 1071018151206 2142036302412