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434130145330 = 257234110960337
BaseRepresentation
bin1100101000101000010…
…11000101000000110010
31112111120021110101122111
412110110023011000302
524103044304122310
6531234151355534
743236102230620
oct6242413050062
91474507411574
10434130145330
11158128170782
1270179382baa
1331c275917cb
1417024d5c510
15b45ce0428a
hex65142c5032

434130145330 has 128 divisors (see below), whose sum is σ = 963399951360. Its totient is φ = 137624002560.

The previous prime is 434130145291. The next prime is 434130145331. The reversal of 434130145330 is 33541031434.

It is a junction number, because it is equal to n+sod(n) for n = 434130145292 and 434130145301.

It is not an unprimeable number, because it can be changed into a prime (434130145331) 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, 7164922 + ... + 7225258.

It is an arithmetic number, because the mean of its divisors is an integer number (7526562120).

Almost surely, 2434130145330 is an apocalyptic number.

434130145330 is an abundant number, since it is smaller than the sum of its proper divisors (529269806030).

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

434130145330 is a wasteful number, since it uses less digits than its factorization.

434130145330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60524.

The product of its (nonzero) digits is 25920, while the sum is 31.

Adding to 434130145330 its reverse (33541031434), we get a palindrome (467671176764).

The spelling of 434130145330 in words is "four hundred thirty-four billion, one hundred thirty million, one hundred forty-five thousand, three hundred thirty".

Divisors: 1 2 5 7 10 14 23 35 41 46 70 82 109 115 161 205 218 230 287 322 410 545 574 763 805 943 1090 1435 1526 1610 1886 2507 2870 3815 4469 4715 5014 6601 7630 8938 9430 12535 13202 17549 22345 25070 31283 33005 35098 44690 60337 62566 66010 87745 102787 120674 156415 175490 205574 301685 312830 422359 513935 603370 719509 844718 1027870 1387751 1439018 2111795 2473817 2775502 3597545 4223590 4947634 6576733 6938755 7195090 9714257 12369085 13153466 13877510 17316719 19428514 24738170 32883665 34633438 46037131 48571285 56897791 65767330 86583595 92074262 97142570 113795582 151264859 173167190 230185655 269646053 284488955 302529718 398284537 460371310 539292106 568977910 756324295 796569074 1058854013 1348230265 1512648590 1887522371 1991422685 2117708026 2696460530 3775044742 3982845370 5294270065 6201859219 9437611855 10588540130 12403718438 18875223710 31009296095 43413014533 62018592190 86826029066 217065072665 434130145330