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10141412410420 = 2253118190370811
BaseRepresentation
bin1001001110010011101101…
…0010001100010000110100
31022220111202110122000102121
42103210323102030100310
52312124103034113140
633322522303445324
72064456440115244
oct223447322142064
938814673560377
1010141412410420
11325aa48a12aa5
1211795825b6844
1358743c522a15
14270bc017db24
15128c04b5b64a
hex9393b48c434

10141412410420 has 48 divisors (see below), whose sum is σ = 22105423581696. Its totient is φ = 3904018992000.

The previous prime is 10141412410411. The next prime is 10141412410471. The reversal of 10141412410420 is 2401421414101.

It is a super-3 number, since 3×101414124104203 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45073186 + ... + 45297625.

It is an arithmetic number, because the mean of its divisors is an integer number (460529657952).

Almost surely, 210141412410420 is an apocalyptic number.

10141412410420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10141412410420 is an abundant number, since it is smaller than the sum of its proper divisors (11964011171276).

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

10141412410420 is a wasteful number, since it uses less digits than its factorization.

10141412410420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90371032 (or 90371030 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

Adding to 10141412410420 its reverse (2401421414101), we get a palindrome (12542833824521).

The spelling of 10141412410420 in words is "ten trillion, one hundred forty-one billion, four hundred twelve million, four hundred ten thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 181 310 362 620 724 905 1810 3620 5611 11222 22444 28055 56110 112220 90370811 180741622 361483244 451854055 903708110 1807416220 2801495141 5602990282 11205980564 14007475705 16357116791 28014951410 32714233582 56029902820 65428467164 81785583955 163571167910 327142335820 507070620521 1014141241042 2028282482084 2535353102605 5070706205210 10141412410420