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12400340004 = 22331313167421
BaseRepresentation
bin10111000110001111…
…00010110000100100
31012000012102112121000
423203013202300210
5200343441340004
65410250153300
7616202102523
oct134307426044
935005375530
1012400340004
115293739a88
1224a0a22830
131228094ac0
14858c704ba
154c899ec39
hex2e31e2c24

12400340004 has 96 divisors (see below), whose sum is σ = 34886839680. Its totient is φ = 3786307200.

The previous prime is 12400340003. The next prime is 12400340033. The reversal of 12400340004 is 40004300421.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12400340003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150214 + ... + 217634.

It is an arithmetic number, because the mean of its divisors is an integer number (363404580).

Almost surely, 212400340004 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 12400340004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17443419840).

12400340004 is an abundant number, since it is smaller than the sum of its proper divisors (22486499676).

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

12400340004 is a wasteful number, since it uses less digits than its factorization.

12400340004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67578 (or 67570 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 12400340004 its reverse (40004300421), we get a palindrome (52404640425).

The spelling of 12400340004 in words is "twelve billion, four hundred million, three hundred forty thousand, four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 131 156 234 262 351 393 468 524 702 786 1179 1404 1572 1703 2358 3406 3537 4716 5109 6812 7074 10218 14148 15327 20436 30654 45981 61308 67421 91962 134842 183924 202263 269684 404526 606789 809052 876473 1213578 1752946 1820367 2427156 2629419 3505892 3640734 5258838 7281468 7888257 8832151 10517676 15776514 17664302 23664771 26496453 31553028 35328604 47329542 52992906 79489359 94659084 105985812 114817963 158978718 229635926 238468077 317957436 344453889 459271852 476936154 688907778 953872308 1033361667 1377815556 2066723334 3100085001 4133446668 6200170002 12400340004