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141786949152 = 2531924199787
BaseRepresentation
bin1000010000001100101…
…0010010011000100000
3111112222101011022011010
42010003022102120200
54310334424333102
6145045214220520
713146420116412
oct2040312223040
9445871138133
10141786949152
115514a044522
12235901b4740
13104a7b62964
146c10aa89b2
153a4ca4cd6c
hex2103292620

141786949152 has 144 divisors (see below), whose sum is σ = 402395509152. Its totient is φ = 43682319360.

The previous prime is 141786949127. The next prime is 141786949163. The reversal of 141786949152 is 251949687141.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 141786949092 and 141786949101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1371003 + ... + 1470789.

It is an arithmetic number, because the mean of its divisors is an integer number (2794413258).

Almost surely, 2141786949152 is an apocalyptic number.

141786949152 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 141786949152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201197754576).

141786949152 is an abundant number, since it is smaller than the sum of its proper divisors (260608560000).

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

141786949152 is a wasteful number, since it uses less digits than its factorization.

141786949152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99879 (or 99852 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 57.

The spelling of 141786949152 in words is "one hundred forty-one billion, seven hundred eighty-six million, nine hundred forty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 41 48 57 76 82 96 114 123 152 164 228 246 304 328 361 456 492 608 656 722 779 912 984 1083 1312 1444 1558 1824 1968 2166 2337 2888 3116 3936 4332 4674 5776 6232 8664 9348 11552 12464 14801 17328 18696 24928 29602 34656 37392 44403 59204 74784 88806 99787 118408 177612 199574 236816 299361 355224 399148 473632 598722 710448 798296 1197444 1420896 1596592 1895953 2394888 3193184 3791906 4091267 4789776 5687859 7583812 8182534 9579552 11375718 12273801 15167624 16365068 22751436 24547602 30335248 32730136 36023107 45502872 49095204 60670496 65460272 72046214 77734073 91005744 98190408 108069321 130920544 144092428 155468146 182011488 196380816 216138642 233202219 288184856 310936292 392761632 432277284 466404438 576369712 621872584 864554568 932808876 1152739424 1243745168 1476947387 1729109136 1865617752 2487490336 2953894774 3458218272 3731235504 4430842161 5907789548 7462471008 8861684322 11815579096 17723368644 23631158192 35446737288 47262316384 70893474576 141786949152