Search a number
-
+
140015345544 = 233215125750111
BaseRepresentation
bin1000001001100110010…
…0001001111110001000
3111101101220120111212200
42002121210021332020
54243222412024134
6144153330440200
713054465541334
oct2023144117610
9441356514780
10140015345544
1154420015508
1223176a33060
1310284b059b9
146ac36a47c4
153997253499
hex2099909f88

140015345544 has 96 divisors (see below), whose sum is σ = 383212477440. Its totient is φ = 46181376000.

The previous prime is 140015345543. The next prime is 140015345563. The reversal of 140015345544 is 445543510041.

140015345544 is a `hidden beast` number, since 14 + 0 + 0 + 153 + 455 + 44 = 666.

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 = 140015345499 and 140015345508.

It is not an unprimeable number, because it can be changed into a prime (140015345543) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2769049 + ... + 2819159.

It is an arithmetic number, because the mean of its divisors is an integer number (3991796640).

Almost surely, 2140015345544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140015345544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191606238720).

140015345544 is an abundant number, since it is smaller than the sum of its proper divisors (243197131896).

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

140015345544 is a wasteful number, since it uses less digits than its factorization.

140015345544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50531 (or 50524 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 140015345544 its reverse (445543510041), we get a palindrome (585558855585).

The spelling of 140015345544 in words is "one hundred forty billion, fifteen million, three hundred forty-five thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 151 257 302 453 514 604 771 906 1028 1208 1359 1542 1812 2056 2313 2718 3084 3624 4626 5436 6168 9252 10872 18504 38807 50111 77614 100222 116421 150333 155228 200444 232842 300666 310456 349263 400888 450999 465684 601332 698526 901998 931368 1202664 1397052 1803996 2794104 3607992 7566761 12878527 15133522 22700283 25757054 30267044 38635581 45400566 51514108 60534088 68100849 77271162 90801132 103028216 115906743 136201698 154542324 181602264 231813486 272403396 309084648 463626972 544806792 927253944 1944657577 3889315154 5833972731 7778630308 11667945462 15557260616 17501918193 23335890924 35003836386 46671781848 70007672772 140015345544