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144652068 = 22351183163
BaseRepresentation
bin10001001111100…
…11011100100100
3101002012002100000
420213303130210
5244012331233
622204221300
73404344101
oct1047633444
9332162300
10144652068
117471a270
124053a830
1323c78952
14152d5aa8
15ca74d13
hex89f3724

144652068 has 144 divisors (see below), whose sum is σ = 421214976. Its totient is φ = 43040160.

The previous prime is 144652033. The next prime is 144652097. The reversal of 144652068 is 860256441.

144652068 is a `hidden beast` number, since 1 + 446 + 5 + 206 + 8 = 666.

144652068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×1446520684 (a number of 34 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 887355 + ... + 887517.

It is an arithmetic number, because the mean of its divisors is an integer number (2925104).

Almost surely, 2144652068 is an apocalyptic number.

144652068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144652068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210607488).

144652068 is an abundant number, since it is smaller than the sum of its proper divisors (276562908).

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

144652068 is a wasteful number, since it uses less digits than its factorization.

144652068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 144652068 is about 12027.1388118704. The cubic root of 144652068 is about 524.9382457975.

The spelling of 144652068 in words is "one hundred forty-four million, six hundred fifty-two thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 83 99 108 132 162 163 166 198 243 249 297 324 326 332 396 486 489 498 594 652 747 891 913 972 978 996 1188 1467 1494 1782 1793 1826 1956 2241 2673 2739 2934 2988 3564 3586 3652 4401 4482 5346 5379 5478 5868 6723 7172 8217 8802 8964 10692 10758 10956 13203 13446 13529 16137 16434 17604 20169 21516 24651 26406 26892 27058 32274 32868 39609 40338 40587 48411 49302 52812 54116 64548 73953 79218 80676 81174 96822 98604 121761 145233 147906 148819 158436 162348 193644 221859 243522 290466 295812 297638 365283 435699 443718 446457 487044 580932 595276 730566 871398 887436 892914 1095849 1339371 1461132 1742796 1785828 2191698 2678742 3287547 4018113 4383396 5357484 6575094 8036226 12054339 13150188 16072452 24108678 36163017 48217356 72326034 144652068