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30023331416 = 23134159131911
BaseRepresentation
bin11011111101100001…
…111010111001011000
32212111101012021001122
4123331201322321120
5442441433101131
621443104104412
72112002051321
oct337541727130
985441167048
1030023331416
111180742a2a1
12599a905108
132aa6173980
14164b59d448
15baabd6d7b
hex6fd87ae58

30023331416 has 128 divisors (see below), whose sum is σ = 63707212800. Its totient is φ = 13173888000.

The previous prime is 30023331397. The next prime is 30023331419. The reversal of 30023331416 is 61413332003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30023331419) 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, 32956001 + ... + 32956911.

It is an arithmetic number, because the mean of its divisors is an integer number (497712600).

Almost surely, 230023331416 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 30023331416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31853606400).

30023331416 is an abundant number, since it is smaller than the sum of its proper divisors (33683881384).

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

30023331416 is a wasteful number, since it uses less digits than its factorization.

30023331416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 30023331416 its reverse (61413332003), we get a palindrome (91436663419).

The spelling of 30023331416 in words is "thirty billion, twenty-three million, three hundred thirty-one thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 26 41 52 59 82 104 118 131 164 236 262 328 472 524 533 767 911 1048 1066 1534 1703 1822 2132 2419 3068 3406 3644 4264 4838 5371 6136 6812 7288 7729 9676 10742 11843 13624 15458 19352 21484 23686 30916 31447 37351 42968 47372 53749 61832 62894 69823 74702 94744 100477 107498 119341 125788 139646 149404 200954 214996 238682 251576 279292 298808 316889 401908 429992 477364 485563 558584 633778 698737 803816 954728 971126 1267556 1397474 1551433 1942252 2203709 2535112 2794948 3102866 3884504 4119557 4407418 4892981 5589896 6205732 7041119 8239114 8814836 9785962 12411464 14082238 16478228 17629672 19571924 28164476 28648217 32956456 39143848 56328952 57296434 63608753 91534547 114592868 127217506 183069094 229185736 254435012 288685879 366138188 508870024 577371758 732276376 1154743516 2309487032 3752916427 7505832854 15011665708 30023331416