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10041142211412 = 22313102643627089
BaseRepresentation
bin1001001000011110001010…
…1101101111001101010100
31022112220221110120010211020
42102013202231233031110
52304003224401231122
633204500445241140
72054306602356444
oct222074255571524
938486843503736
1010041142211412
113221474008434
12116205a2631b0
1357ab4ca4aa10
14269dcb2a6124
151262d6d4cc5c
hex921e2b6f354

10041142211412 has 48 divisors (see below), whose sum is σ = 25231874176320. Its totient is φ = 3089547191808.

The previous prime is 10041142211381. The next prime is 10041142211413. The reversal of 10041142211412 is 21411224114001.

10041142211412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10041142211413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15698764 + ... + 16325852.

It is an arithmetic number, because the mean of its divisors is an integer number (525664045340).

Almost surely, 210041142211412 is an apocalyptic number.

10041142211412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10041142211412 is an abundant number, since it is smaller than the sum of its proper divisors (15190731964908).

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

10041142211412 is a wasteful number, since it uses less digits than its factorization.

10041142211412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729752 (or 729750 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 10041142211412 its reverse (21411224114001), we get a palindrome (31452366325413).

The spelling of 10041142211412 in words is "ten trillion, forty-one billion, one hundred forty-two million, two hundred eleven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 102643 205286 307929 410572 615858 627089 1231716 1254178 1334359 1881267 2508356 2668718 3762534 4003077 5337436 7525068 8006154 8152157 16012308 16304314 24456471 32608628 48912942 97825884 64366296227 128732592454 193098888681 257465184908 386197777362 772395554724 836761850951 1673523701902 2510285552853 3347047403804 5020571105706 10041142211412