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204034442123430 = 232531119361299769
BaseRepresentation
bin101110011001000101111000…
…011100011101100010100110
3222202102111120002020220122200
4232121011320130131202212
5203220400014140422210
62001540043445435330
760656000452455642
oct5631057034354246
9882374502226580
10204034442123430
115a014580459036
121aa732a9a0bb46
1389b04998408b9
14385546932dc22
15188c60db2d0c0
hexb9917871d8a6

204034442123430 has 96 divisors (see below), whose sum is σ = 548061137245440. Its totient is φ = 52609912888320.

The previous prime is 204034442123429. The next prime is 204034442123431. The reversal of 204034442123430 is 34321244430402.

204034442123430 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 3 + 4 + 4 + 4 + 212 + 3 + 430 = 666.

204034442123430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (204034442123429) and next prime (204034442123431).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204034442123431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27321415 + ... + 33978354.

It is an arithmetic number, because the mean of its divisors is an integer number (5708970179640).

Almost surely, 2204034442123430 is an apocalyptic number.

204034442123430 is an abundant number, since it is smaller than the sum of its proper divisors (344026695122010).

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

204034442123430 is a wasteful number, since it uses less digits than its factorization.

204034442123430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61301006 (or 61301003 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 204034442123430 its reverse (34321244430402), we get a palindrome (238355686553832).

The spelling of 204034442123430 in words is "two hundred four trillion, thirty-four billion, four hundred forty-two million, one hundred twenty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1193 1395 2386 2790 3579 5965 7158 10737 11930 17895 21474 35790 36983 53685 73966 107370 110949 184915 221898 332847 369830 554745 665694 1109490 1664235 3328470 61299769 122599538 183899307 306498845 367798614 551697921 612997690 919496535 1103395842 1838993070 1900292839 2758489605 3800585678 5516979210 5700878517 9501464195 11401757034 17102635551 19002928390 28504392585 34205271102 57008785170 73130624417 85513177755 146261248834 171026355510 219391873251 365653122085 438783746502 658175619753 731306244170 1096959366255 1316351239506 2193918732510 2267049356927 3290878098765 4534098713854 6581756197530 6801148070781 11335246784635 13602296141562 20403444212343 22670493569270 34005740353905 40806888424686 68011480707810 102017221061715 204034442123430