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142211124 = 2232111941461
BaseRepresentation
bin10000111100111…
…11100000110100
3100220121001222200
420132133200310
5242401223444
622040024500
73344526456
oct1036374064
9326531880
10142211124
1173302360
123b762130
13236028c3
1414c5c2d6
15c741969
hex879f834

142211124 has 144 divisors (see below), whose sum is σ = 423783360. Its totient is φ = 39744000.

The previous prime is 142211119. The next prime is 142211141. The reversal of 142211124 is 421112241.

142211124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 142211097 and 142211106.

It is a congruent number.

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, 308254 + ... + 308714.

It is an arithmetic number, because the mean of its divisors is an integer number (2942940).

Almost surely, 2142211124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142211124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211891680).

142211124 is an abundant number, since it is smaller than the sum of its proper divisors (281572236).

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

142211124 is a wasteful number, since it uses less digits than its factorization.

142211124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 537 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 142211124 is about 11925.2305638088. The cubic root of 142211124 is about 521.9687742805.

Adding to 142211124 its reverse (421112241), we get a palindrome (563323365).

The spelling of 142211124 in words is "one hundred forty-two million, two hundred eleven thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 41 44 57 66 76 82 99 114 123 132 164 171 198 209 228 246 342 369 396 418 451 461 492 627 684 738 779 836 902 922 1254 1353 1383 1476 1558 1804 1844 1881 2337 2508 2706 2766 3116 3762 4059 4149 4674 5071 5412 5532 7011 7524 8118 8298 8569 8759 9348 10142 14022 15213 16236 16596 17138 17518 18901 20284 25707 26277 28044 30426 34276 35036 37802 45639 51414 52554 56703 60852 75604 77121 78831 91278 96349 102828 105108 113406 154242 157662 170109 182556 192698 207911 226812 289047 308484 315324 340218 359119 385396 415822 578094 623733 680436 718238 831644 867141 1077357 1156188 1247466 1436476 1734282 1871199 2154714 2494932 3232071 3468564 3742398 3950309 4309428 6464142 7484796 7900618 11850927 12928284 15801236 23701854 35552781 47403708 71105562 142211124