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304122054040 = 23573148717193
BaseRepresentation
bin1000110110011110001…
…01100100010110011000
31002001222210022001212021
410123033011210112120
514440320221212130
6351413423024224
730654266543530
oct4331705442630
91061883261767
10304122054040
11107a82a75532
124ab35a3b074
13228a8b1613c
1410a107884c0
157d9e4e337a
hex46cf164598

304122054040 has 128 divisors (see below), whose sum is σ = 807532830720. Its totient is φ = 100872115200.

The previous prime is 304122054037. The next prime is 304122054073. The reversal of 304122054040 is 40450221403.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 304122053996 and 304122054014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42276684 + ... + 42283876.

It is an arithmetic number, because the mean of its divisors is an integer number (6308850240).

Almost surely, 2304122054040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 304122054040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403766415360).

304122054040 is an abundant number, since it is smaller than the sum of its proper divisors (503410776680).

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

304122054040 is a wasteful number, since it uses less digits than its factorization.

304122054040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12113 (or 12109 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 304122054040 its reverse (40450221403), we get a palindrome (344572275443).

The spelling of 304122054040 in words is "three hundred four billion, one hundred twenty-two million, fifty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 248 280 310 434 620 868 1085 1240 1736 2170 4340 4871 7193 8680 9742 14386 19484 24355 28772 34097 35965 38968 48710 50351 57544 68194 71930 97420 100702 136388 143860 151001 170485 194840 201404 222983 251755 272776 287720 302002 340970 402808 445966 503510 604004 681940 755005 891932 1007020 1057007 1114915 1208008 1363880 1510010 1560881 1783864 2014040 2114014 2229830 3020020 3121762 4228028 4459660 5285035 6040040 6243524 7804405 8456056 8919320 10570070 12487048 15608810 21140140 31217620 35037103 42280280 62435240 70074206 140148412 175185515 245259721 280296824 350371030 490519442 700742060 981038884 1086150193 1226298605 1401484120 1962077768 2172300386 2452597210 4344600772 4905194420 5430750965 7603051351 8689201544 9810388840 10861501930 15206102702 21723003860 30412205404 38015256755 43446007720 60824410808 76030513510 152061027020 304122054040