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300422138706 = 23347675213391
BaseRepresentation
bin1000101111100101000…
…11100000101101010010
31001201102221020220012000
410113302203200231102
514410231031414311
6350002333014430
730463512021414
oct4276243405522
91051387226160
10300422138706
11106454513368
124a282924416
1322439421c21
141077d22a9b4
157c34797056
hex45f28e0b52

300422138706 has 128 divisors (see below), whose sum is σ = 693518008320. Its totient is φ = 96333494400.

The previous prime is 300422138693. The next prime is 300422138707. The reversal of 300422138706 is 607831224003.

It is a happy number.

300422138706 is a `hidden beast` number, since 30 + 0 + 422 + 138 + 70 + 6 = 666.

It is a super-2 number, since 2×3004221387062 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (300422138707) 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, 88592271 + ... + 88595661.

It is an arithmetic number, because the mean of its divisors is an integer number (5418109440).

Almost surely, 2300422138706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300422138706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346759004160).

300422138706 is an abundant number, since it is smaller than the sum of its proper divisors (393095869614).

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

300422138706 is a wasteful number, since it uses less digits than its factorization.

300422138706 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4037 (or 4031 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 300422138706 in words is "three hundred billion, four hundred twenty-two million, one hundred thirty-eight thousand, seven hundred six".

Divisors: 1 2 3 6 9 18 27 47 54 67 94 134 141 201 282 402 423 521 603 846 1042 1206 1269 1563 1809 2538 3126 3149 3391 3618 4689 6298 6782 9378 9447 10173 14067 18894 20346 24487 28134 28341 30519 34907 48974 56682 61038 69814 73461 85023 91557 104721 146922 159377 170046 183114 209442 220383 227197 314163 318754 440766 454394 478131 628326 661149 681591 942489 956262 1322298 1363182 1434393 1640629 1766711 1884978 2044773 2868786 3281258 3533422 4089546 4303179 4921887 5300133 6134319 8606358 9843774 10600266 10678259 12268638 14765661 15900399 21356518 29531322 31800798 32034777 44296983 47701197 64069554 83035417 88593966 95402394 96104331 118369637 166070834 192208662 236739274 249106251 288312993 355108911 498212502 576625986 710217822 747318753 1065326733 1494637506 2130653466 2241956259 3195980199 4483912518 5563372939 6391960398 11126745878 16690118817 33380237634 50070356451 100140712902 150211069353 300422138706