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36033461230140 = 223251138917467629
BaseRepresentation
bin10000011000101101100011…
…01010000001101000111100
311201120202122212102220220100
420030112301222001220330
514210333012033331030
6204345313224321100
710406221521563253
oct1014266152015074
9151522585386810
1036033461230140
1110532783523a10
12405b639313190
131714c2cc77aba
148c805916d79a
154274a668a360
hex20c5b1a81a3c

36033461230140 has 144 divisors (see below), whose sum is σ = 119241317875680. Its totient is φ = 8735141399040.

The previous prime is 36033461230061. The next prime is 36033461230147. The reversal of 36033461230140 is 4103216433063.

36033461230140 is a `hidden beast` number, since 3 + 6 + 0 + 3 + 3 + 4 + 612 + 30 + 1 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 36033461230095 and 36033461230104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36033461230147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76821846 + ... + 77289474.

It is an arithmetic number, because the mean of its divisors is an integer number (828064707470).

Almost surely, 236033461230140 is an apocalyptic number.

36033461230140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36033461230140 is an abundant number, since it is smaller than the sum of its proper divisors (83207856645540).

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

36033461230140 is a wasteful number, since it uses less digits than its factorization.

36033461230140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506572 (or 506567 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 36033461230140 in words is "thirty-six trillion, thirty-three billion, four hundred sixty-one million, two hundred thirty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 38917 77834 116751 155668 194585 233502 350253 389170 428087 467004 467629 583755 700506 778340 856174 935258 1167510 1284261 1401012 1402887 1712348 1751265 1870516 2140435 2335020 2338145 2568522 2805774 3502530 3852783 4208661 4280870 4676290 5137044 5143919 5611548 6421305 7005060 7014435 7705566 8417322 8561740 9352580 10287838 12842610 14028870 15411132 15431757 16834644 19263915 20575676 21043305 25685220 25719595 28057740 30863514 38527830 42086610 46295271 51439190 61727028 77055660 77158785 84173220 92590542 102878380 154317570 185181084 231476355 308635140 462952710 925905420 18198717793 36397435586 54596153379 72794871172 90993588965 109192306758 163788460137 181987177930 200185895723 218384613516 272980766895 327576920274 363974355860 400371791446 545961533790 600557687169 655153840548 800743582892 818942300685 1000929478615 1091923067580 1201115374338 1637884601370 1801673061507 2001858957230 2402230748676 3002788435845 3275769202740 3603346123014 4003717914460 6005576871690 7206692246028 9008365307535 12011153743380 18016730615070 36033461230140