Search a number
-
+
1041324302412 = 2233127613312379
BaseRepresentation
bin11110010011100111100…
…00111110000001001100
310200112211200101111101000
433021303300332001030
5114030113010134122
62114213333420300
7135142662345552
oct17116360760114
93615750344330
101041324302412
1137169446aa39
1214999549a690
13772728148a4
143858685dbd2
151c14963e0ac
hexf273c3e04c

1041324302412 has 96 divisors (see below), whose sum is σ = 2721650892800. Its totient is φ = 344291000256.

The previous prime is 1041324302411. The next prime is 1041324302453. The reversal of 1041324302412 is 2142034231401.

1041324302412 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 3 + 243 + 0 + 2 + 412 = 666.

1041324302412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1041324302411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84114039 + ... + 84126417.

Almost surely, 21041324302412 is an apocalyptic number.

1041324302412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1041324302412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360825446400).

1041324302412 is an abundant number, since it is smaller than the sum of its proper divisors (1680326590388).

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

1041324302412 is a wasteful number, since it uses less digits than its factorization.

1041324302412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18652 (or 18644 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1041324302412 its reverse (2142034231401), we get a palindrome (3183358533813).

The spelling of 1041324302412 in words is "one trillion, forty-one billion, three hundred twenty-four million, three hundred two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 127 254 381 508 762 1143 1524 2286 3429 4572 6133 6858 12266 12379 13716 18399 24532 24758 36798 37137 49516 55197 73596 74274 110394 111411 148548 165591 220788 222822 331182 334233 445644 662364 668466 778891 1336932 1557782 1572133 2336673 3115564 3144266 4673346 4716399 6288532 7010019 9346692 9432798 14020038 14149197 18865596 21030057 28040076 28298394 42060114 42447591 56596788 75920407 84120228 84895182 151840814 169790364 227761221 303681628 455522442 683283663 911044884 1366567326 2049850989 2733134652 4099701978 8199403956 9641891689 19283783378 28925675067 38567566756 57851350134 86777025201 115702700268 173554050402 260331075603 347108100804 520662151206 1041324302412