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141713448768 = 2632534642081
BaseRepresentation
bin1000001111111011000…
…1111001111101000000
3111112210020212002120200
42003332301321331000
54310212120330033
6145034031005200
713144535303523
oct2037661717500
9445706762520
10141713448768
1155111602601
122356b669800
1310495869ac8
146c05014bba
153a46380013
hex20fec79f40

141713448768 has 84 divisors (see below), whose sum is σ = 413860178628. Its totient is φ = 46346526720.

The previous prime is 141713448761. The next prime is 141713448781. The reversal of 141713448768 is 867844317141.

141713448768 is a `hidden beast` number, since 1 + 4 + 1 + 71 + 34 + 487 + 68 = 666.

141713448768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 41244735744 + 100468713024 = 203088^2 + 316968^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141713448761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2290513 + ... + 2351568.

Almost surely, 2141713448768 is an apocalyptic number.

141713448768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

141713448768 is an abundant number, since it is smaller than the sum of its proper divisors (272146729860).

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

141713448768 is a wasteful number, since it uses less digits than its factorization.

141713448768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4642152 (or 4642139 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The spelling of 141713448768 in words is "one hundred forty-one billion, seven hundred thirteen million, four hundred forty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 144 159 192 212 288 318 424 477 576 636 848 954 1272 1696 1908 2544 3392 3816 5088 7632 10176 15264 30528 4642081 9284162 13926243 18568324 27852486 37136648 41778729 55704972 74273296 83557458 111409944 148546592 167114916 222819888 246030293 297093184 334229832 445639776 492060586 668459664 738090879 891279552 984121172 1336919328 1476181758 1968242344 2214272637 2673838656 2952363516 3936484688 4428545274 5904727032 7872969376 8857090548 11809454064 15745938752 17714181096 23618908128 35428362192 47237816256 70856724384 141713448768