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140632056544 = 2577364113417
BaseRepresentation
bin1000001011111001010…
…0101110001011100000
3111102222220000200022211
42002332110232023200
54301003301302134
6144334441011504
713105664520520
oct2027624561340
9442886020284
10140632056544
1154707147621
1223309483b94
1310352802955
146b4155b680
1539d1472764
hex20be52e2e0

140632056544 has 96 divisors (see below), whose sum is σ = 321281021376. Its totient is φ = 59348090880.

The previous prime is 140632056493. The next prime is 140632056557. The reversal of 140632056544 is 445650236041.

It is a junction number, because it is equal to n+sod(n) for n = 140632056497 and 140632056506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10474924 + ... + 10488340.

It is an arithmetic number, because the mean of its divisors is an integer number (3346677306).

Almost surely, 2140632056544 is an apocalyptic number.

140632056544 is a gapful number since it is divisible by the number (14) 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 140632056544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160640510688).

140632056544 is an abundant number, since it is smaller than the sum of its proper divisors (180648964832).

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

140632056544 is a wasteful number, since it uses less digits than its factorization.

140632056544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14148 (or 14140 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

The spelling of 140632056544 in words is "one hundred forty billion, six hundred thirty-two million, fifty-six thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 73 112 146 224 292 511 584 641 1022 1168 1282 2044 2336 2564 4088 4487 5128 8176 8974 10256 13417 16352 17948 20512 26834 35896 46793 53668 71792 93586 93919 107336 143584 187172 187838 214672 327551 374344 375676 429344 655102 748688 751352 979441 1310204 1497376 1502704 1958882 2620408 3005408 3917764 5240816 6856087 7835528 8600297 10481632 13712174 15671056 17200594 27424348 31342112 34401188 54848696 60202079 68802376 109697392 120404158 137604752 219394784 240808316 275209504 481616632 627821681 963233264 1255643362 1926466528 2511286724 4394751767 5022573448 8789503534 10045146896 17579007068 20090293792 35158014136 70316028272 140632056544