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141150736134 = 2336147989459
BaseRepresentation
bin1000001101110100111…
…1010100111100000110
3111111100001000022222000
42003131033110330012
54303034042024014
6144502130050130
713124563314102
oct2033517247406
9444301008860
10141150736134
1154952a02241
1223433119946
13104060c8155
146b903b6902
153a11c7a509
hex20dd3d4f06

141150736134 has 64 divisors (see below), whose sum is σ = 319479552000. Its totient is φ = 46181797920.

The previous prime is 141150736117. The next prime is 141150736151. The reversal of 141150736134 is 431637051141.

141150736134 is a `hidden beast` number, since 1 + 4 + 11 + 507 + 3 + 6 + 134 = 666.

141150736134 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (141150736117) and next prime (141150736151).

It is a super-2 number, since 2×1411507361342 (a number of 23 digits) contains 22 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 31 ways as a sum of consecutive naturals, for example, 1533097 + ... + 1622555.

It is an arithmetic number, because the mean of its divisors is an integer number (4991868000).

Almost surely, 2141150736134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141150736134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159739776000).

141150736134 is an abundant number, since it is smaller than the sum of its proper divisors (178328815866).

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

141150736134 is a wasteful number, since it uses less digits than its factorization.

141150736134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90010 (or 90004 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 141150736134 its reverse (431637051141), we get a palindrome (572787787275).

The spelling of 141150736134 in words is "one hundred forty-one billion, one hundred fifty million, seven hundred thirty-six thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 61 122 183 366 479 549 958 1098 1437 1647 2874 3294 4311 8622 12933 25866 29219 58438 87657 89459 175314 178918 262971 268377 525942 536754 788913 805131 1577826 1610262 2415393 4830786 5456999 10913998 16370997 32741994 42850861 49112991 85701722 98225982 128552583 147338973 257105166 294677946 385657749 771315498 1156973247 2313946494 2613902521 5227805042 7841707563 15683415126 23525122689 47050245378 70575368067 141150736134