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140302332312444 = 223213187223341083
BaseRepresentation
bin11111111001101010101110…
…101011011011101101111100
3200101202202211202211022112200
4133321222232223123231330
5121342203134032444234
61214222000205431500
741360336405402241
oct3771525653335574
9611682752738480
10140302332312444
1140782980a09395
121389b64726b590
1360395b77b8b33
1426909520ad5c8
1511348bb800d99
hex7f9aaeadbb7c

140302332312444 has 72 divisors (see below), whose sum is σ = 357365538321792. Its totient is φ = 46409772558240.

The previous prime is 140302332312413. The next prime is 140302332312463. The reversal of 140302332312444 is 444213233203041.

140302332312444 is a `hidden beast` number, since 1 + 4 + 0 + 3 + 0 + 2 + 332 + 312 + 4 + 4 + 4 = 666.

It is a super-2 number, since 2×1403023323124442 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 140302332312399 and 140302332312408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 411173127 + ... + 411514209.

Almost surely, 2140302332312444 is an apocalyptic number.

It is an amenable number.

140302332312444 is an abundant number, since it is smaller than the sum of its proper divisors (217063206009348).

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

140302332312444 is a wasteful number, since it uses less digits than its factorization.

140302332312444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428447 (or 428442 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 140302332312444 its reverse (444213233203041), we get a palindrome (584515565515485).

The spelling of 140302332312444 in words is "one hundred forty trillion, three hundred two billion, three hundred thirty-two million, three hundred twelve thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 131 262 393 524 786 1179 1572 2358 4716 87223 174446 261669 341083 348892 523338 682166 785007 1023249 1046676 1364332 1570014 2046498 3069747 3140028 4092996 6139494 11426213 12278988 22852426 34278639 44681873 45704852 68557278 89363746 102835917 134045619 137114556 178727492 205671834 268091238 402136857 411343668 536182476 804273714 1608547428 29750282509 59500565018 89250847527 119001130036 178501695054 267752542581 357003390108 535505085162 1071010170324 3897287008679 7794574017358 11691861026037 15589148034716 23383722052074 35075583078111 46767444104148 70151166156222 140302332312444