Search a number
-
+
402142445145 = 34571009114057
BaseRepresentation
bin1011101101000011000…
…11101011111001011001
31102102222222221212020000
411312201203223321121
523042041431221040
6504424112123213
741024315245530
oct5664143537131
91372888855200
10402142445145
11145602a21121
1265b30836509
132bbca46a96c
141566c93b317
15a6d9a47130
hex5da18ebe59

402142445145 has 80 divisors (see below), whose sum is σ = 824000335488. Its totient is φ = 183805251840.

The previous prime is 402142445137. The next prime is 402142445189. The reversal of 402142445145 is 541544241204.

402142445145 is a `hidden beast` number, since 40 + 21 + 42 + 44 + 514 + 5 = 666.

It is not a de Polignac number, because 402142445145 - 23 = 402142445137 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28600957 + ... + 28615013.

Almost surely, 2402142445145 is an apocalyptic number.

402142445145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

402142445145 is an abundant number, since it is smaller than the sum of its proper divisors (421857890343).

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

402142445145 is a wasteful number, since it uses less digits than its factorization.

402142445145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24172 (or 24163 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

Adding to 402142445145 its reverse (541544241204), we get a palindrome (943686686349).

The spelling of 402142445145 in words is "four hundred two billion, one hundred forty-two million, four hundred forty-five thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 315 405 567 945 2835 10091 14057 30273 42171 50455 70285 70637 90819 98399 126513 151365 210855 211911 272457 295197 353185 379539 454095 491995 632565 635733 817371 885591 1059555 1138617 1362285 1475985 1897695 1907199 2656773 3178665 4086855 4427955 5693085 5721597 7970319 9535995 13283865 28607985 39851595 141849187 425547561 709245935 992944309 1276642683 2127737805 2978832927 3829928049 4964721545 6383213415 8936498781 11489784147 14894164635 19149640245 26809496343 44682493905 57448920735 80428489029 134047481715 402142445145