Search a number
-
+
140143213032444 = 22334772737976597
BaseRepresentation
bin11111110111010110100010…
…011011100011001111111100
3200101012120010110211101021000
4133313112202123203033330
5121332101300014014234
61214020523035210300
741343004315004646
oct3767264233431774
9611176113741230
10140143213032444
114072144825a1a6
121387483a5a6990
1360275a9b5510b
142686d79537896
1511306a7332899
hex7f75a26e33fc

140143213032444 has 96 divisors (see below), whose sum is σ = 371575187343360. Its totient is φ = 45657590400576.

The previous prime is 140143213032437. The next prime is 140143213032457. The reversal of 140143213032444 is 444230312341041.

140143213032444 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 4 + 321 + 3 + 0 + 324 + 4 + 4 = 666.

It is a super-2 number, since 2×1401432130324442 (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 = 140143213032399 and 140143213032408.

It is a congruent number.

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, 15298047 + ... + 22678550.

It is an arithmetic number, because the mean of its divisors is an integer number (3870574868160).

Almost surely, 2140143213032444 is an apocalyptic number.

It is an amenable number.

140143213032444 is an abundant number, since it is smaller than the sum of its proper divisors (231431974310916).

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

140143213032444 is a wasteful number, since it uses less digits than its factorization.

140143213032444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37977384 (or 37977376 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 140143213032444 its reverse (444230312341041), we get a palindrome (584373525373485).

The spelling of 140143213032444 in words is "one hundred forty trillion, one hundred forty-three billion, two hundred thirteen million, thirty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 94 108 141 188 282 423 564 727 846 1269 1454 1692 2181 2538 2908 4362 5076 6543 8724 13086 19629 26172 34169 39258 68338 78516 102507 136676 205014 307521 410028 615042 922563 1230084 1845126 3690252 37976597 75953194 113929791 151906388 227859582 341789373 455719164 683578746 1025368119 1367157492 1784900059 2050736238 3569800118 4101472476 5354700177 7139600236 10709400354 16064100531 21418800708 27608986019 32128201062 48192301593 55217972038 64256402124 82826958057 96384603186 110435944076 165653916114 192769206372 248480874171 331307832228 496961748342 745442622513 993923496684 1297622342893 1490885245026 2595244685786 2981770490052 3892867028679 5190489371572 7785734057358 11678601086037 15571468114716 23357202172074 35035803258111 46714404344148 70071606516222 140143213032444