Search a number
-
+
204003301040 = 24571145772467
BaseRepresentation
bin1011110111111110001…
…0110101011010110000
3201111120100012110010022
42331333202311122300
511320244321113130
6233415014423012
720511251306420
oct2757742653260
9644510173108
10204003301040
11795765aa560
1233654361a68
1316311828266
149c33a54480
15548eb4c7e5
hex2f7f8b56b0

204003301040 has 160 divisors (see below), whose sum is σ = 592646782464. Its totient is φ = 63445432320.

The previous prime is 204003301039. The next prime is 204003301067. The reversal of 204003301040 is 40103300402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2778887 + ... + 2851353.

Almost surely, 2204003301040 is an apocalyptic number.

204003301040 is a gapful number since it is divisible by the number (20) 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 204003301040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296323391232).

204003301040 is an abundant number, since it is smaller than the sum of its proper divisors (388643481424).

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

204003301040 is a wasteful number, since it uses less digits than its factorization.

204003301040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72955 (or 72949 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 204003301040 its reverse (40103300402), we get a palindrome (244106601442).

The spelling of 204003301040 in words is "two hundred four billion, three million, three hundred one thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 457 560 616 770 880 914 1232 1540 1828 2285 3080 3199 3656 4570 5027 6160 6398 7312 9140 10054 12796 15995 18280 20108 25135 25592 31990 35189 36560 40216 50270 51184 63980 70378 72467 80432 100540 127960 140756 144934 175945 201080 255920 281512 289868 351890 362335 402160 507269 563024 579736 703780 724670 797137 1014538 1159472 1407560 1449340 1594274 2029076 2536345 2815120 2898680 3188548 3985685 4058152 5072690 5579959 5797360 6377096 7971370 8116304 10145380 11159918 12754192 15942740 20290760 22319836 27899795 31885480 33117419 40581520 44639672 55799590 63770960 66234838 89279344 111599180 132469676 165587095 223198360 231821933 264939352 331174190 364291609 446396720 463643866 529878704 662348380 728583218 927287732 1159109665 1324696760 1457166436 1821458045 1854575464 2318219330 2550041263 2649393520 2914332872 3642916090 3709150928 4636438660 5100082526 5828665744 7285832180 9272877320 10200165052 12750206315 14571664360 18545754640 20400330104 25500412630 29143328720 40800660208 51000825260 102001650520 204003301040