Search a number
-
+
30403134230336 = 267177950531749
BaseRepresentation
bin1101110100110110010000…
…00001000000111101000000
310222122111210200212112012222
412322123020001000331000
512441111104330332321
6144355001304510212
76255361002663050
oct672331001007500
9128574720775188
1030403134230336
11976199573505a
1234b03b817b368
1313c70071cbc4a
1477173b8d7560
1537acc692d3ab
hex1ba6c8040f40

30403134230336 has 112 divisors (see below), whose sum is σ = 73929971520000. Its totient is φ = 12108215328768.

The previous prime is 30403134230327. The next prime is 30403134230341. The reversal of 30403134230336 is 63303243130403.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 30403134230296 and 30403134230305.

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 15 ways as a sum of consecutive naturals, for example, 24664211 + ... + 25867538.

Almost surely, 230403134230336 is an apocalyptic number.

It is an amenable number.

30403134230336 is an abundant number, since it is smaller than the sum of its proper divisors (43526837289664).

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

30403134230336 is a wasteful number, since it uses less digits than its factorization.

30403134230336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50531864 (or 50531854 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 35.

Adding to 30403134230336 its reverse (63303243130403), we get a palindrome (93706377360739).

The spelling of 30403134230336 in words is "thirty trillion, four hundred three billion, one hundred thirty-four million, two hundred thirty thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 79 112 119 136 158 224 238 272 316 448 476 544 553 632 952 1088 1106 1264 1343 1904 2212 2528 2686 3808 4424 5056 5372 7616 8848 9401 10744 17696 18802 21488 35392 37604 42976 75208 85952 150416 300832 601664 50531749 101063498 202126996 353722243 404253992 707444486 808507984 859039733 1414888972 1617015968 1718079466 2829777944 3234031936 3436158932 3992008171 5659555888 6013278131 6872317864 7984016342 11319111776 12026556262 13744635728 15968032684 22638223552 24053112524 27489271456 27944057197 31936065368 48106225048 54978542912 55888114394 63872130736 67864138907 96212450096 111776228788 127744261472 135728277814 192424900192 223552457576 255488522944 271456555628 384849800384 447104915152 475048972349 542913111256 894209830304 950097944698 1085826222512 1788419660608 1900195889396 2171652445024 3800391778792 4343304890048 7600783557584 15201567115168 30403134230336