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155416014 = 232132367431
BaseRepresentation
bin10010100001101…
…11010111001110
3101211102221200200
421100313113032
5304241303024
623231034330
73565004625
oct1120672716
9354387620
10155416014
117a801396
124406b9a6
1326277150
14168d86bc
15d99e2c9
hex94375ce

155416014 has 96 divisors (see below), whose sum is σ = 384943104. Its totient is φ = 44953920.

The previous prime is 155416013. The next prime is 155416031. The reversal of 155416014 is 410614551.

155416014 is a `hidden beast` number, since 1 + 5 + 54 + 1 + 601 + 4 = 666.

155416014 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155416013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 360379 + ... + 360809.

It is an arithmetic number, because the mean of its divisors is an integer number (4009824).

Almost surely, 2155416014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155416014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192471552).

155416014 is an abundant number, since it is smaller than the sum of its proper divisors (229527090).

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

155416014 is a wasteful number, since it uses less digits than its factorization.

155416014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 155416014 is about 12466.5959267155. The cubic root of 155416014 is about 537.6486860337.

The spelling of 155416014 in words is "one hundred fifty-five million, four hundred sixteen thousand, fourteen".

Divisors: 1 2 3 6 9 13 18 23 26 39 46 67 69 78 117 134 138 201 207 234 299 402 414 431 598 603 862 871 897 1206 1293 1541 1742 1794 2586 2613 2691 3082 3879 4623 5226 5382 5603 7758 7839 9246 9913 11206 13869 15678 16809 19826 20033 27738 28877 29739 33618 40066 50427 57754 59478 60099 86631 89217 100854 120198 128869 173262 178434 180297 257738 259893 360594 375401 386607 519786 664171 750802 773214 1126203 1159821 1328342 1992513 2252406 2319642 3378609 3985026 5977539 6757218 8634223 11955078 17268446 25902669 51805338 77708007 155416014