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434014203204050 = 25272457467830051
BaseRepresentation
bin110001010101110111100111…
…0011010001101000111010010
32002220201100112001111002200112
41202223233032122031013102
5423341342042010012200
64135023212240121322
7160263330360514100
oct14253571632150722
92086640461432615
10434014203204050
11116321431a88787
1240816a3a606242
1315823496201081
1479265843c4c70
153529a8ac84535
hex18abbce68d1d2

434014203204050 has 144 divisors (see below), whose sum is σ = 943136245872288. Its totient is φ = 148161136032000.

The previous prime is 434014203204041. The next prime is 434014203204079. The reversal of 434014203204050 is 50402302410434.

It is a junction number, because it is equal to n+sod(n) for n = 434014203203998 and 434014203204016.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 522461525 + ... + 523291575.

It is an arithmetic number, because the mean of its divisors is an integer number (6549557263002).

Almost surely, 2434014203204050 is an apocalyptic number.

434014203204050 is an abundant number, since it is smaller than the sum of its proper divisors (509122042668238).

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

434014203204050 is a wasteful number, since it uses less digits than its factorization.

434014203204050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831001 (or 830989 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

Adding to 434014203204050 its reverse (50402302410434), we get a palindrome (484416505614484).

The spelling of 434014203204050 in words is "four hundred thirty-four trillion, fourteen billion, two hundred three million, two hundred four thousand, fifty".

Divisors: 1 2 5 7 10 14 25 35 49 50 70 98 175 245 350 457 467 490 914 934 1225 2285 2335 2450 3199 3269 4570 4670 6398 6538 11425 11675 15995 16345 22393 22850 22883 23350 31990 32690 44786 45766 79975 81725 111965 114415 159950 163450 213419 223930 228830 426838 559825 572075 830051 1067095 1119650 1144150 1493933 1660102 2134190 2987866 4150255 5335475 5810357 7469665 8300510 10457531 10670950 11620714 14939330 20751275 20915062 29051785 37348325 40672499 41502550 52287655 58103570 74696650 81344998 104575310 145258925 203362495 261438275 290517850 379333307 387633817 406724990 522876550 758666614 775267634 1016812475 1896666535 1938169085 2033624950 2655333149 2713436719 3793333070 3876338170 5310666298 5426873438 9483332675 9690845425 13276665745 13567183595 18587332043 18966665350 18994057033 19381690850 26553331490 27134367190 37174664086 37988114066 66383328725 67835917975 92936660215 94970285165 132766657450 135671835950 177148654369 185873320430 189940570330 354297308738 464683301075 474851425825 885743271845 929366602150 949702851650 1240040580583 1771486543690 2480081161166 4428716359225 6200202902915 8680284064081 8857432718450 12400405805830 17360568128162 31001014514575 43401420320405 62002029029150 86802840640810 217007101602025 434014203204050