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34540310142 = 237131274783
BaseRepresentation
bin100000001010110000…
…110100111001111110
310022011011200120000000
4200022300310321332
51031214304411032
623511222415130
72331640535442
oct401260647176
9108134616000
1034540310142
1113715117268
12683b5914a6
133345c13650
141959448822
15d7252ae7c
hex80ac34e7e

34540310142 has 128 divisors (see below), whose sum is σ = 84357611520. Its totient is φ = 10541899872.

The previous prime is 34540310131. The next prime is 34540310227. The reversal of 34540310142 is 24101304543.

It is a happy number.

34540310142 is a `hidden beast` number, since 345 + 4 + 0 + 310 + 1 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7219083 + ... + 7223865.

It is an arithmetic number, because the mean of its divisors is an integer number (659043840).

Almost surely, 234540310142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34540310142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42178805760).

34540310142 is an abundant number, since it is smaller than the sum of its proper divisors (49817301378).

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

34540310142 is a wasteful number, since it uses less digits than its factorization.

34540310142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4946 (or 4928 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 34540310142 its reverse (24101304543), we get a palindrome (58641614685).

The spelling of 34540310142 in words is "thirty-four billion, five hundred forty million, three hundred ten thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 127 162 234 243 254 351 381 486 702 729 762 1053 1143 1458 1651 2106 2187 2286 3159 3302 3429 4374 4783 4953 6318 6858 9477 9566 9906 10287 14349 14859 18954 20574 28431 28698 29718 30861 43047 44577 56862 61722 62179 86094 89154 92583 124358 129141 133731 185166 186537 258282 267462 277749 373074 387423 401193 555498 559611 607441 774846 802386 1119222 1162269 1203579 1214882 1678833 1822323 2324538 2407158 3357666 3486807 3610737 3644646 5036499 5466969 6973614 7221474 7896733 10072998 10460421 10933938 15109497 15793466 16400907 20920842 23690199 30218994 32801814 45328491 47380398 49202721 71070597 90656982 98405442 135985473 142141194 147608163 213211791 271970946 295216326 426423582 442824489 639635373 885648978 1279270746 1328473467 1918906119 2656946934 3837812238 5756718357 11513436714 17270155071 34540310142