Search a number
-
+
10141041146610 = 235113253970477
BaseRepresentation
bin1001001110010010010100…
…1001111011101011110010
31022220110210121000212020010
42103210211021323223302
52312122323013142420
633322421402155350
72064444311326413
oct223444511735362
938813717025203
1010141041146610
11325a878395000
12117949a1b2b56
135873b06330aa
14270b86b3980a
15128bd22724e0
hex9392527baf2

10141041146610 has 64 divisors (see below), whose sum is σ = 26770520145024. Its totient is φ = 2458434207680.

The previous prime is 10141041146597. The next prime is 10141041146671. The reversal of 10141041146610 is 1664114014101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126945309 + ... + 127025168.

It is an arithmetic number, because the mean of its divisors is an integer number (418289377266).

Almost surely, 210141041146610 is an apocalyptic number.

10141041146610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10141041146610 is an abundant number, since it is smaller than the sum of its proper divisors (16629478998414).

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

10141041146610 is a wasteful number, since it uses less digits than its factorization.

10141041146610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253970520 (or 253970498 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The spelling of 10141041146610 in words is "ten trillion, one hundred forty-one billion, forty-one million, one hundred forty-six thousand, six hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 605 726 1210 1331 1815 2662 3630 3993 6655 7986 13310 19965 39930 253970477 507940954 761911431 1269852385 1523822862 2539704770 2793675247 3809557155 5587350494 7619114310 8381025741 13968376235 16762051482 27936752470 30730427717 41905128705 61460855434 83810257410 92191283151 153652138585 184382566302 307304277170 338034704887 460956415755 676069409774 921912831510 1014104114661 1690173524435 2028208229322 3380347048870 5070520573305 10141041146610