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101440023444 = 223261131352619
BaseRepresentation
bin101111001111001001…
…0111110101110010100
3100200211112022010001100
41132132102332232110
53130222121222234
6114333443430100
710220530654404
oct1363622765624
9320745263040
10101440023444
113a025281021
12177b0085330
139747c62616
144ca43d0804
15298a888399
hex179e4beb94

101440023444 has 72 divisors (see below), whose sum is σ = 262611629280. Its totient is φ = 33005044800.

The previous prime is 101440023427. The next prime is 101440023463. The reversal of 101440023444 is 444320044101.

101440023444 is a `hidden beast` number, since 10 + 14 + 400 + 234 + 4 + 4 = 666.

It is a super-2 number, since 2×1014400234442 (a number of 23 digits) contains 22 as substring.

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, 111367 + ... + 463985.

It is an arithmetic number, because the mean of its divisors is an integer number (3647383740).

Almost surely, 2101440023444 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 101440023444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131305814640).

101440023444 is an abundant number, since it is smaller than the sum of its proper divisors (161171605836).

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

101440023444 is a wasteful number, since it uses less digits than its factorization.

101440023444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352821 (or 352816 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 101440023444 its reverse (444320044101), we get a palindrome (545760067545).

The spelling of 101440023444 in words is "one hundred one billion, four hundred forty million, twenty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 131 183 244 262 366 393 524 549 732 786 1098 1179 1572 2196 2358 4716 7991 15982 23973 31964 47946 71919 95892 143838 287676 352619 705238 1057857 1410476 2115714 3173571 4231428 6347142 12694284 21509759 43019518 46193089 64529277 86039036 92386178 129058554 138579267 184772356 193587831 258117108 277158534 387175662 415737801 554317068 774351324 831475602 1662951204 2817778429 5635556858 8453335287 11271113716 16906670574 25360005861 33813341148 50720011722 101440023444