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30433854420420 = 223511210987381541
BaseRepresentation
bin1101110101101111011110…
…00101001111010111000100
310222202110002122022212122220
412322313233011033113010
512442112013212423140
6144421041505052340
76260526166203333
oct672675705172704
9128673078285586
1030433854420420
119773a1a458600
1234b63503270b0
1313c9b91852209
14773013853d1a
1537b9c38b6bd0
hex1badef14f5c4

30433854420420 has 144 divisors (see below), whose sum is σ = 93674616834624. Its totient is φ = 7377213254400.

The previous prime is 30433854420311. The next prime is 30433854420451. The reversal of 30433854420420 is 2402445833403.

It is a happy number.

It is a super-2 number, since 2×304338544204202 (a number of 28 digits) contains 22 as substring.

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, 79574850 + ... + 79956390.

Almost surely, 230433854420420 is an apocalyptic number.

30433854420420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30433854420420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46837308417312).

30433854420420 is an abundant number, since it is smaller than the sum of its proper divisors (63240762414204).

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

30433854420420 is a wasteful number, since it uses less digits than its factorization.

30433854420420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392562 (or 392549 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 42.

The spelling of 30433854420420 in words is "thirty trillion, four hundred thirty-three billion, eight hundred fifty-four million, four hundred twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1815 2420 3630 7260 10987 21974 32961 43948 54935 65922 109870 120857 131844 164805 219740 241714 329610 362571 381541 483428 604285 659220 725142 763082 1144623 1208570 1329427 1450284 1526164 1812855 1907705 2289246 2417140 2658854 3625710 3815410 3988281 4196951 4578492 5317708 5723115 6647135 7251420 7630820 7976562 8393902 11446230 12590853 13294270 15953124 16787804 19941405 20984755 22892460 25181706 26588540 39882810 41969510 46166461 50363412 62954265 79765620 83939020 92332922 125908530 138499383 184665844 230832305 251817060 276998766 461664610 553997532 692496915 923329220 1384993830 2769987660 4191990967 8383981934 12575972901 16767963868 20959954835 25151945802 41919909670 46111900637 50303891604 62879864505 83839819340 92223801274 125759729010 138335701911 184447602548 230559503185 251519458020 276671403822 461119006370 507230907007 553342807644 691678509555 922238012740 1014461814014 1383357019110 1521692721021 2028923628028 2536154535035 2766714038220 3043385442042 5072309070070 6086770884084 7608463605105 10144618140140 15216927210210 30433854420420