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10140601506644 = 2272112573459593
BaseRepresentation
bin1001001110010000101011…
…1100110101101101010100
31022220102122221202211120102
42103210022330311231110
52312120422441203034
633322310015153232
72064430362416300
oct223441274655524
938812587684512
1010140601506644
11325a672204a94
121179396b15818
13587340522abb
14270b445b6d00
15128ba887d97e
hex9390af35b54

10140601506644 has 36 divisors (see below), whose sum is σ = 20643595647444. Its totient is φ = 4345924012416.

The previous prime is 10140601506641. The next prime is 10140601506683. The reversal of 10140601506644 is 44660510604101.

10140601506644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6192074838544 + 3948526668100 = 2488388^2 + 1987090^2 .

It is a super-2 number, since 2×101406015066442 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10140601506598 and 10140601506607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10140601506641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21834512 + ... + 22294104.

It is an arithmetic number, because the mean of its divisors is an integer number (573433212429).

Almost surely, 210140601506644 is an apocalyptic number.

10140601506644 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10140601506644 is an abundant number, since it is smaller than the sum of its proper divisors (10502994140800).

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

10140601506644 is a wasteful number, since it uses less digits than its factorization.

10140601506644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572184 (or 572175 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The spelling of 10140601506644 in words is "ten trillion, one hundred forty billion, six hundred one million, five hundred six thousand, six hundred forty-four".

Divisors: 1 2 4 7 14 28 49 98 196 112573 225146 450292 459593 788011 919186 1576022 1838372 3152044 3217151 5516077 6434302 11032154 12868604 22064308 22520057 45040114 90080228 51737762789 103475525578 206951051156 362164339523 724328679046 1448657358092 2535150376661 5070300753322 10140601506644