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10141441440040 = 2351391824000259
BaseRepresentation
bin1001001110010011110100…
…0000111011100100101000
31022220111211111020212120201
42103210331000323210220
52312124133002040130
633322525222001544
72064460241632561
oct223447500734450
938814744225521
1010141441440040
11325aa63340419
1211795902762b4
13587445548101
14270bc3d79168
15128c07492bca
hex9393d03b928

10141441440040 has 32 divisors (see below), whose sum is σ = 22982403276000. Its totient is φ = 4027392569664.

The previous prime is 10141441440037. The next prime is 10141441440043. The reversal of 10141441440040 is 4004414414101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10141441440037) and next prime (10141441440043).

It is a junction number, because it is equal to n+sod(n) for n = 10141441439990 and 10141441440008.

It is not an unprimeable number, because it can be changed into a prime (10141441440043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 911994570 + ... + 912005689.

It is an arithmetic number, because the mean of its divisors is an integer number (718200102375).

Almost surely, 210141441440040 is an apocalyptic number.

10141441440040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10141441440040 is an abundant number, since it is smaller than the sum of its proper divisors (12840961835960).

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

10141441440040 is a wasteful number, since it uses less digits than its factorization.

10141441440040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1824000409 (or 1824000405 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 10141441440040 its reverse (4004414414101), we get a palindrome (14145855854141).

The spelling of 10141441440040 in words is "ten trillion, one hundred forty-one billion, four hundred forty-one million, four hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 139 278 556 695 1112 1390 2780 5560 1824000259 3648000518 7296001036 9120001295 14592002072 18240002590 36480005180 72960010360 253536036001 507072072002 1014144144004 1267680180005 2028288288008 2535360360010 5070720720020 10141441440040