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141681513078 = 23272348889411
BaseRepresentation
bin1000001111110011100…
…0000101001001110110
3111112201000202121001100
42003330320011021312
54310130431404303
6145030530310530
713143666663540
oct2037470051166
9445630677040
10141681513078
11550a557a876
1223560a28446
131048c067a51
146c00aa0690
153a436728a3
hex20fce05276

141681513078 has 48 divisors (see below), whose sum is σ = 366083917056. Its totient is φ = 38720412720.

The previous prime is 141681513073. The next prime is 141681513089. The reversal of 141681513078 is 870315186141.

141681513078 is a `hidden beast` number, since 1 + 4 + 1 + 68 + 1 + 513 + 0 + 78 = 666.

It is a super-2 number, since 2×1416815130782 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141681513073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24441808 + ... + 24447603.

It is an arithmetic number, because the mean of its divisors is an integer number (7626748272).

Almost surely, 2141681513078 is an apocalyptic number.

141681513078 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

141681513078 is an abundant number, since it is smaller than the sum of its proper divisors (224402403978).

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

141681513078 is a wasteful number, since it uses less digits than its factorization.

141681513078 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48889449 (or 48889446 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 141681513078 in words is "one hundred forty-one billion, six hundred eighty-one million, five hundred thirteen thousand, seventy-eight".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 126 138 161 207 322 414 483 966 1449 2898 48889411 97778822 146668233 293336466 342225877 440004699 684451754 880009398 1026677631 1124456453 2053355262 2248912906 3080032893 3373369359 6160065786 6746738718 7871195171 10120108077 15742390342 20240216154 23613585513 47227171026 70840756539 141681513078