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138182253342 = 23741653122887
BaseRepresentation
bin1000000010110001001…
…1011101101100011110
3111012200011021210002220
42000230103131230132
54230444124101332
6143251405130210
712661166526240
oct2005423355436
9435604253086
10138182253342
115366a309181
1222944b59966
13100520ca363
14698c056090
1538db35ed2c
hex202c4ddb1e

138182253342 has 64 divisors (see below), whose sum is σ = 324046808064. Its totient is φ = 38458402560.

The previous prime is 138182253329. The next prime is 138182253347. The reversal of 138182253342 is 243352281831.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 138182253294 and 138182253303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138182253347) 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, 1063023 + ... + 1185909.

It is an arithmetic number, because the mean of its divisors is an integer number (5063231376).

Almost surely, 2138182253342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138182253342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162023404032).

138182253342 is an abundant number, since it is smaller than the sum of its proper divisors (185864554722).

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

138182253342 is a wasteful number, since it uses less digits than its factorization.

138182253342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123593.

The product of its digits is 276480, while the sum is 42.

The spelling of 138182253342 in words is "one hundred thirty-eight billion, one hundred eighty-two million, two hundred fifty-three thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 21 41 42 82 123 246 287 574 653 861 1306 1722 1959 3918 4571 9142 13713 26773 27426 53546 80319 122887 160638 187411 245774 368661 374822 562233 737322 860209 1124466 1720418 2580627 5038367 5161254 10076734 15115101 30230202 35268569 70537138 80245211 105805707 160490422 211611414 240735633 481471266 561716477 1123432954 1685149431 3290053651 3370298862 6580107302 9870160953 19740321906 23030375557 46060751114 69091126671 138182253342