Search a number
-
+
142216464 = 24313292271
BaseRepresentation
bin10000111101000…
…00110100010000
3100220121100022110
420132200310100
5242401411324
622040105320
73344551155
oct1036406420
9326540273
10142216464
1173306375
123b765240
1323605170
1414c6022c
15c743329
hex87a0d10

142216464 has 120 divisors (see below), whose sum is σ = 411279232. Its totient is φ = 42094080.

The previous prime is 142216447. The next prime is 142216471. The reversal of 142216464 is 464612241.

It is a happy number.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a zygodrome in base 7.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 524649 + ... + 524919.

Almost surely, 2142216464 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 142216464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205639616).

142216464 is an abundant number, since it is smaller than the sum of its proper divisors (269062768).

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

142216464 is a wasteful number, since it uses less digits than its factorization.

142216464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 318 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 142216464 is about 11925.4544567492. The cubic root of 142216464 is about 521.9753074739.

The spelling of 142216464 in words is "one hundred forty-two million, two hundred sixteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 39 48 52 58 78 87 104 116 156 174 208 232 271 312 348 377 464 542 624 696 754 813 841 1084 1131 1392 1508 1626 1682 2168 2262 2523 3016 3252 3364 3523 4336 4524 5046 6032 6504 6728 7046 7859 9048 10092 10569 10933 13008 13456 14092 15718 18096 20184 21138 21866 23577 28184 31436 32799 40368 42276 43732 47154 56368 62872 65598 84552 87464 94308 102167 125744 131196 169104 174928 188616 204334 227911 262392 306501 377232 408668 455822 524784 613002 683733 817336 911644 1226004 1367466 1634672 1823288 2452008 2734932 2962843 3646576 4904016 5469864 5925686 8888529 10939728 11851372 17777058 23702744 35554116 47405488 71108232 142216464