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114681220458 = 23741191431809
BaseRepresentation
bin110101011001110001…
…0001000110101101010
3101222000022221121121120
41222303202020311222
53334331343023313
6124403412320110
711166623201340
oct1526342106552
9358008847546
10114681220458
11446aa617352
121a286613036
13aa782b3c3c
14579cbc3990
152eb3080d23
hex1ab3888d6a

114681220458 has 128 divisors (see below), whose sum is σ = 270888468480. Its totient is φ = 31686528000.

The previous prime is 114681220453. The next prime is 114681220463. The reversal of 114681220458 is 854022186411.

It is an interprime number because it is at equal distance from previous prime (114681220453) and next prime (114681220463).

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

It is not an unprimeable number, because it can be changed into a prime (114681220453) 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, 141756358 + ... + 141757166.

It is an arithmetic number, because the mean of its divisors is an integer number (2116316160).

Almost surely, 2114681220458 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114681220458, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135444234240).

114681220458 is an abundant number, since it is smaller than the sum of its proper divisors (156207248022).

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

114681220458 is a wasteful number, since it uses less digits than its factorization.

114681220458 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484.

The product of its (nonzero) digits is 122880, while the sum is 42.

The spelling of 114681220458 in words is "one hundred fourteen billion, six hundred eighty-one million, two hundred twenty thousand, four hundred fifty-eight".

Divisors: 1 2 3 6 7 14 21 41 42 82 123 191 246 287 382 431 573 574 809 861 862 1146 1293 1337 1618 1722 2427 2586 2674 3017 4011 4854 5663 6034 7831 8022 9051 11326 15662 16989 17671 18102 23493 33169 33978 35342 46986 53013 54817 66338 82321 99507 106026 109634 123697 154519 164451 164642 199014 232183 246963 247394 309038 328902 348679 371091 463557 464366 493926 576247 696549 697358 742182 927114 1046037 1081633 1152494 1393098 1728741 2092074 2163266 2440753 3244899 3375161 3457482 4881506 6335279 6489798 6750322 7322259 10125483 12670558 14295839 14644518 19005837 20250966 23626127 28591678 38011674 42887517 44346953 47252254 66597689 70878381 85775034 88693906 100070873 133040859 133195378 141756762 199793067 200141746 266081718 300212619 399586134 466183823 600425238 932367646 1398551469 2730505249 2797102938 5461010498 8191515747 16383031494 19113536743 38227073486 57340610229 114681220458