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34442124134 = 211217232391523
BaseRepresentation
bin100000000100111010…
…010001101101100110
310021220022221012010012
4200010322101231212
51031014140433014
623453354130222
72326336140035
oct400472215546
9107808835105
1034442124134
1113674754700
126812720972
13332b786712
14194a3aa71c
15d68ad3c3e
hex804e91b66

34442124134 has 96 divisors (see below), whose sum is σ = 63045319680. Its totient is φ = 14025777920.

The previous prime is 34442124121. The next prime is 34442124149. The reversal of 34442124134 is 43142124443.

It is a self number, because there is not a number n which added to its sum of digits gives 34442124134.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22613897 + ... + 22615419.

It is an arithmetic number, because the mean of its divisors is an integer number (656722080).

Almost surely, 234442124134 is an apocalyptic number.

34442124134 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

34442124134 is a deficient number, since it is larger than the sum of its proper divisors (28603195546).

34442124134 is a wasteful number, since it uses less digits than its factorization.

34442124134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826 (or 1815 counting only the distinct ones).

The product of its digits is 36864, while the sum is 32.

Adding to 34442124134 its reverse (43142124443), we get a palindrome (77584248577).

The spelling of 34442124134 in words is "thirty-four billion, four hundred forty-two million, one hundred twenty-four thousand, one hundred thirty-four".

Divisors: 1 2 11 17 22 23 34 46 121 187 239 242 253 374 391 478 506 782 1523 2057 2629 2783 3046 4063 4114 4301 5258 5497 5566 8126 8602 10994 16753 25891 28919 33506 35029 44693 47311 51782 57838 60467 70058 89386 93449 94622 120934 184283 186898 284801 363997 368566 385319 491623 569602 595493 665137 727994 770638 983246 1027939 1190986 1330274 2055878 3132811 4003967 4238509 6187949 6265622 6550423 8007934 8371931 8477018 11307329 12375898 13100846 16743862 22614658 44043637 68067439 72054653 88087274 92091241 136134878 142322827 144109306 184182482 284645654 748741829 1013003651 1497483658 1565551097 2026007302 3131102194 17221062067 34442124134