Search a number
-
+
40042400060 = 225131914954401
BaseRepresentation
bin100101010010101101…
…101000100100111100
310211100121211200110002
4211102231220210330
51124001323300220
630221211333432
72615200533065
oct452255504474
9124317750402
1040042400060
1115a88988913
127916151278
133a11aa9660
141d1c08756c
1510955aec75
hex952b6893c

40042400060 has 96 divisors (see below), whose sum is σ = 95965128000. Its totient is φ = 13912473600.

The previous prime is 40042400051. The next prime is 40042400113. The reversal of 40042400060 is 6000424004.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 708860 + ... + 763260.

It is an arithmetic number, because the mean of its divisors is an integer number (999636750).

Almost surely, 240042400060 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 40042400060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47982564000).

40042400060 is an abundant number, since it is smaller than the sum of its proper divisors (55922727940).

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

40042400060 is a wasteful number, since it uses less digits than its factorization.

40042400060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54591 (or 54589 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 40042400060 its reverse (6000424004), we get a palindrome (46042824064).

The spelling of 40042400060 in words is "forty billion, forty-two million, four hundred thousand, sixty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 149 190 247 260 298 380 494 596 745 988 1235 1490 1937 2470 2831 2980 3874 4940 5662 7748 9685 11324 14155 19370 28310 36803 38740 54401 56620 73606 108802 147212 184015 217604 272005 368030 544010 707213 736060 1033619 1088020 1414426 2067238 2828852 3536065 4134476 5168095 7072130 8105749 10336190 13437047 14144260 16211498 20672380 26874094 32422996 40528745 53748188 67185235 81057490 105374737 134370470 154009231 162114980 210749474 268740940 308018462 421498948 526873685 616036924 770046155 1053747370 1540092310 2002120003 2107494740 3080184620 4004240006 8008480012 10010600015 20021200030 40042400060