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145541314542 = 231367169716411
BaseRepresentation
bin1000011110001011110…
…0000011011111101110
3111220200000122211021010
42013202330003133232
54341032034031132
6150505531250050
713341435522201
oct2074274033756
9456600584233
10145541314542
11567a6306838
12242595a9926
131095590c940
14708955b938
153bbc4526cc
hex21e2f037ee

145541314542 has 64 divisors (see below), whose sum is σ = 318359188224. Its totient is φ = 44084874240.

The previous prime is 145541314489. The next prime is 145541314547. The reversal of 145541314542 is 245413145541.

It is a super-2 number, since 2×1455413145422 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 145541314542.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145541314547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8860317 + ... + 8876727.

It is an arithmetic number, because the mean of its divisors is an integer number (4974362316).

Almost surely, 2145541314542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145541314542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159179594112).

145541314542 is an abundant number, since it is smaller than the sum of its proper divisors (172817873682).

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

145541314542 is a wasteful number, since it uses less digits than its factorization.

145541314542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18193.

The product of its digits is 192000, while the sum is 39.

The spelling of 145541314542 in words is "one hundred forty-five billion, five hundred forty-one million, three hundred fourteen thousand, five hundred forty-two".

Divisors: 1 2 3 6 13 26 39 67 78 134 201 402 871 1697 1742 2613 3394 5091 5226 10182 16411 22061 32822 44122 49233 66183 98466 113699 132366 213343 227398 341097 426686 640029 682194 1099537 1280058 1478087 2199074 2956174 3298611 4434261 6597222 8868522 14293981 27849467 28587962 42881943 55698934 83548401 85763886 167096802 362043071 724086142 1086129213 1865914289 2172258426 3731828578 5597742867 11195485734 24256885757 48513771514 72770657271 145541314542