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455124138 = 2371923137181
BaseRepresentation
bin11011001000001…
…010010010101010
31011201101200221120
4123020022102222
51413002433023
6113054520110
714164330350
oct3310122252
91151350846
10455124138
112139a6557
12108506036
13733a2131
14446337d0
1529e518e3
hex1b20a4aa

455124138 has 128 divisors (see below), whose sum is σ = 1157345280. Its totient is φ = 116328960.

The previous prime is 455124101. The next prime is 455124139. The reversal of 455124138 is 831421554.

It is a junction number, because it is equal to n+sod(n) for n = 455124099 and 455124108.

It is not an unprimeable number, because it can be changed into a prime (455124139) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2514408 + ... + 2514588.

It is an arithmetic number, because the mean of its divisors is an integer number (9041760).

Almost surely, 2455124138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455124138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578672640).

455124138 is an abundant number, since it is smaller than the sum of its proper divisors (702221142).

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

455124138 is a wasteful number, since it uses less digits than its factorization.

455124138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372.

The product of its digits is 19200, while the sum is 33.

The square root of 455124138 is about 21333.6386488569. The cubic root of 455124138 is about 769.2071098328.

The spelling of 455124138 in words is "four hundred fifty-five million, one hundred twenty-four thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 14 19 21 23 38 42 46 57 69 114 133 137 138 161 181 266 274 322 362 399 411 437 483 543 798 822 874 959 966 1086 1267 1311 1918 2534 2603 2622 2877 3059 3151 3439 3801 4163 5206 5754 6118 6302 6878 7602 7809 8326 9177 9453 10317 12489 15618 18221 18354 18906 20634 22057 24073 24797 24978 29141 36442 44114 48146 49594 54663 58282 59869 66171 72219 74391 79097 87423 109326 119738 132342 144438 148782 158194 173579 174846 179607 237291 347158 359214 419083 471143 474582 520737 553679 570331 838166 942286 1041474 1107358 1140662 1257249 1413429 1661037 1710993 2514498 2826858 3298001 3322074 3421986 3992317 6596002 7984634 9894003 10836289 11976951 19788006 21672578 23953902 32508867 65017734 75854023 151708046 227562069 455124138