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10145411131540 = 22512717323088187
BaseRepresentation
bin1001001110100010100110…
…1000000110100010010100
31022220220002010221002120211
42103220221220012202110
52312210300222202130
633324423150135204
72064660513514306
oct223505150064224
938826063832524
1010145411131540
1132617101033a3
12117a2b97b1504
13587928ab72a9
1427107d27d976
15128d8ac2ca2a
hex93a29a06894

10145411131540 has 48 divisors (see below), whose sum is σ = 21597245171712. Its totient is φ = 4002937335936.

The previous prime is 10145411131517. The next prime is 10145411131543. The reversal of 10145411131540 is 4513111454101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10145411131543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11104674 + ... + 11983513.

It is an arithmetic number, because the mean of its divisors is an integer number (449942607744).

Almost surely, 210145411131540 is an apocalyptic number.

10145411131540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10145411131540 is an abundant number, since it is smaller than the sum of its proper divisors (11451834040172).

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

10145411131540 is a wasteful number, since it uses less digits than its factorization.

10145411131540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23088496 (or 23088494 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 31.

Adding to 10145411131540 its reverse (4513111454101), we get a palindrome (14658522585641).

The spelling of 10145411131540 in words is "ten trillion, one hundred forty-five billion, four hundred eleven million, one hundred thirty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 127 173 254 346 508 635 692 865 1270 1730 2540 3460 21971 43942 87884 109855 219710 439420 23088187 46176374 92352748 115440935 230881870 461763740 2932199749 3994256351 5864399498 7988512702 11728798996 14660998745 15977025404 19971281755 29321997490 39942563510 58643994980 79885127020 507270556577 1014541113154 2029082226308 2536352782885 5072705565770 10145411131540